Download - Crystal Collimation at the Tevatron
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Crystal Collimation at the TevatronAccelerator Division Seminar FNALJanuary 12, 2006FermilabCrystal ChannelingNikolai Mokhov and Dean Still Fermilab
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OUTLINEIntroductionCrystal Extraction and Collimation: a Little HistoryTowards Crystal Collimation at the TevatronCrystal Collaboration: Optimal Crystals and Expts
Implementation and Commissioning at the Tevatron980-GeV Beam Crystal Channeling and CollimationEncouraging Results, Problems and Future PlansSummary
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INRODUCTIONBent-crystal technique is well established for extraction and handling of high energy hadron and heavy-ion beams from accelerators. Such an extraction was successfully demonstrated for up to 900 GeV beams at JINR, IHEP, CERN and Fermilab, and measurements confirmed its high efficiency predicted in simulations.
It was shown (SSC, 1991) that it is promising to apply this technique to a beam halo collimation at high energy colliders. A bent crystal, serving as a primary element, should coherently bend halo particles onto a secondary collimator. First successful measurements were performed at IHEP in 1998 for 1 to 70 GeV protons. Based on realistic modeling (1999, 2003), it was proposed to implement a bent crystal into the Tevatron collimation system. It was done, and first results are presented here.
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CRYSTAL CHANNELINGChanneling/DechannelingCritical angle c = (2U/pv)1/2Bending: Ueff = U(x) pvkx, k=1/RDechanneling due to MCS & bending --> LD = 0.9m x p (TeV/c) --> LB = LD (1-F/3)2, F=3k/kc, kc~Z2/pv (well disappears)Channeling probability
It was shown at CERN and IHEP that crystals are heat- and radiation-resistant. Deflection efficiency deteriorates at about 6%/1020 p/cm2 rateExtremely high interplanar electricfields from screened nuclei (a fewGV/cm) allow to bend and focus (cylindrically-shaped crystal exit)high-energy beams with very shortcrystals. Interplanar spacing ~ 2.
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CHANNELING: EARLY DAYS (E. Tsyganov et al, 1976-1984)What will happen with the trajectory of the channeled particles if we bend the crystal? Up to some critical value of the bending radius a particle trajectory will repeat the shape of a bent crystal. This unexpected phenomenon caused by the fact that the particle in this case gradually goes to high electric field of the atoms. It then starts to be bent in the direction of the crystal bending. A stable trajectory in this case goes away from the potential minimum, in the region where electrical fields are strong enough to create the necessary transverse acceleration.First successful JINRexperiments in 1979.7.5-GeV proton bentcrystal extraction wasdemonstrated at JINRin 1984
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Crystal Extraction at SPS: RD22 (W. Scandale et al)Multiple scattering and dechanneling determine the energy dependence of the extraction efficiency.For a given beam energy and crystal bending angle there is an optimal crystal length.
Channelling efficiency consistently of the order of 10 % (more than an order on magnitude larger than in previous experiments)Experimental evidence of multiturn effect in extraction modeRobust method to evaluate the extraction efficiencyExperimental validation of simulation code at high energyExtraction of Lead ionsG. Arduini et al., CERN SL 97-031 and SL 97-0551991-1997
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Crystal Extraction at Tevatron: E853 (R. Carrigan, T. Murphy et al)Bad:Interaction counters very sensitive to beam motionBeams in the 108 - 109 regime need special instrumentationBeam halo behavior is often non-linearLattice location important (RHIC difficult, Tevatron better but imperfect)Good:First parasitic TeV MHz beam extraction from colliderMeasured channeling and extraction efficiencies 33% and 23%, respectively Crystal extraction works well, robust (900 GeV)Extraction in diffusion modes means crystal collimation can workMultiple pass works900-GeV crystal extraction 6/6/95
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Two-Stage Collimation with Target and CrystalCourtesy R. Assmann
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FIRST PROPOSAL FOR CRYSTAL COLLIMATION (SSC, 1991)Fraction of outscattered protons (%) per one 20 TeV proton:Calculated beam loss in SSC lattice was drastically down with W target and especially with bent crystal (Maslov, Mokhov, Yazynin).
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1 to 70 GeV Crystal Collimation at IHEP: V. Biryukov et al (1998)Also crystal extraction, focusing, characterization, radiation damage and heating
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Crystal Collimation at RHIC (2003) Measured bent crystal channeling for gold ions was 26% Crystal channeling worked as expected once lattice functions and halo distribution were understood Collimation was unsuccessful because lattice was not optimal in area of collimator and IP (high angular spread at crystal, phase advances): crystal caused background
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TEVATRON COLLIMATION SYSTEM EVOLUTIONDesign report, commissioning, initial operation: a few single 0.9 to 1.8-m long SS collimators in front of SC magnets (Edwards, Pruss, Van Ginneken, 1979-1984).A set of two-unit collimators at optimal locations based on STRUCT/MARS modeling: 5-fold increase of 800-GeV proton beam intensity at fast resonant extraction (Drozhdin, Harrison, Mokhov, 1985).First two-stage system, two 2.5-mm thick L-shape tungsten targets with 0.3-mm offset relative to A0 scrapers: 5-fold reduction of beam loss rates upstream D0 and CDF detectors (Drozhdin, Mokhov et al., 1995).Genuine two-stage system proposed for Run-II with primary and secondary collimators at appropriate locations optimized in STRUCT/MARS runs (Church, Drozhdin, Mokhov, 1999).Current system with a tertiary collimator (Drozhdin, Mokhov,Still).Crystal collimation (Carrigan, Drozhdin, Mokhov, Still).
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BENT CRYSTAL FOR TEVATRON COLLIMATION
Biryukov, Drozhdin, Mokhov (PAC99) have shown and later calculations (2003) confirmed - that implementation of a silicon bent crystal instead of amorphous primary collimators (targets), can improve the Tevatron collimation system efficiency by a factor of:
2 with one (horizontal) target replaced, and with contribution from beam-gas scattering unsuppressed3 with one (horizontal) target replaced, and with contribution from beam-gas scattering suppressedup to a factor of 10 for the horizontal scraping itself.
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TEV BEAM LOSS REDUCTION WITH CRYSTAL (1999)10-fold hit rate reduction at D and B (horizontal component).4-fold reduction of radiation loads to downstream SC magnets.
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TEVATRON: CRYSTAL ALIGNEMENT (1999)The crystal critical angle is 5 rad, therefore the efficiency depends strongly on the crystal alignment. With the alignment of -(104 - 111) rad the large amplitudeprotons are captured by the crystal over the next 32 turns after the first scattering.For poorer alignment it takes longer time for the scattered protons to get into the critical region, which increases background in the detectors.
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PROPOSAL FOR CRYSTAL COLLIMATION (2003)Current collimation system in Tevatron is somewhat different comparedto the one planned before Run-II. Based on detailed modeling, Carrigan,Drozhdin, Mokhov and Still, proposed to implement a bent crystal in theE straight section. It was done in 2005, Dean Still will describe the implementation and show first results.
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Crystal Channeling Workshop at CERN, Dec. 05A theoretical interpretation of the Tevatron results was given at the Crystal Channeling workshop at CERN on December 8-9, 2005. Yuri Ivanov (PNPI) has shown that the pure channeling, calculated from the crystal properties, is consistent with 2 to 3 passages of the proton beam through the crystal with a channeling efficiency of about 92%. Confirmed by IHEP modeling.The observed plateau is explained byreflections from atomic planes and corresponds to 6 to 9 beam passages. The volume capture is estimated to be negligible in the considered case.
The consensus was reached that the TeV crystal needs to be replaced with the optimal one with a bending angle of about 0.15 mrad, that the beam diagnostics must be implemented to see the deflected beam (phosphorous screen, BPM, flying wires, secondary emission monitor etc), and that the characterization and knowledge of the additional crystal parameters (miscut angle, surface perfection) are vital for success of the studies.
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Two identical characterized crystals for SPS and TeV It was proposed that PNPI will expressly fabricate a pair of identical crystals optimized for the Tevatron (about 1-mm thick, 0.12-mrad bending angle, minimal miscut angle), and ship them to INFN (Ferrara) for chemical etching and characterization. Then by mid-spring 2006, one crystal goes to Fermilab for installation in the Tevatron in the spring shutdown, and another one goes to CERN for beam characterization in the extracted beamline in June-July to use these data for optimal crystal use in the Tevatron starting about mid-summer. The crystal preparation, etching, characterization and beam tests will be done for INFN and INTAS money.
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SPS H8 Beam Line105 protons/s 400 GeV/c 3rad 5mmx5mmBeam line parameters taken from C.Biino et al., PL B403(1997)163CrystalVacuum pipeScintillator S1 0.5 mm (1 rad)Silicon with X- and Y-strips X-position resolution 30 m 0.3 mm (1.5 rad)20 m2x30m/20m 2 rad20 mScintillators S2, S3critical 10 radbending 100 radAMS type detector
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CRYSTAL COLLABORATION: EXPERIMENTSBeam-crystal experiments at CERN:Characterize TeV crystal to guarantee success at Tevatron: extracted beam at H8 or P0, summer 2006, approved, supported by INFN (400 keuro) and INTAS/CERN (130 keuro)Crystal collimation efficiency in SPS (ala Tevatron): 2007, based on success at Tevatron and extracted beamlinesResponsibility split between CERN, INFN, Fermilab, PNPI, JINR and IHEP in 7 areas: Tank (crystal, goniometer, integration), pipe, scintillators, silicon, calculations, analysis, and DAQ.Fermilab contribution to these experiments: calculations (crystal, track reconstruction and beam loss, Drozhdin & Mokhov), detectors (scintillating fibers, Alan Bross), data taking (Dean Still).In the spring shutdown: replace Tevatron crystal with an optimal characterized one, and perform measurements to come to a reliable conclusion about crystal collimation efficiency.We have a proposal from KEK to collaborate (Tevatron, J-PARC, ILC).
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INTAS-2006 Project: Crystal Channeling Just ApprovedExperimental study of crystal channeling at CERN SPS for use at the LHC in diffractive physics and halo cleaning
First station: deflection at large angles (some mrad)Extraction of ~450-GeV proton beam from SPS with a bent crystal:ala RD22 at CERN and 900-GeV E853 at Tevatron
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Second station: deflection at small angles (0.2 mrad)
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OTHER CRYSTAL CHANNELING APPLICATIONSSince early 80s, many successful applications at FNAL, CERN & IHEPCrystal-based beam linesBeam splitting (recent success at KEK with 12 GeV protons)Beam focusingBeam diagnostics
Very recent proposals for LHC, ILC & J-PARCCalibration of CMS calorimeters with LHC beamTOTEM: larger acceptance for diffractive Higgs, reaching Coulomb regionBeam splitting at J-PARCCollimation at ILC with tests at ATF
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MOTIVATION FOR CRYSTAL COLLIMATIONProton Halo LossLimitOver 2004 shutdown improved TevatronVacuum and alignment. Also installedCrystal collimator.
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448.443030.656
473.443353.043
648.444017.192
598.443862.873
598.443862.873
698.444094.217
473.443702.116
648.443257.53
573.443263.817
573.444339.677
423.443485.861
548.443534.812
823.444637.632
101485.942543231.062
473.443623.432
673.443929.06
398.442973.386
548.443678.629
623.443649.095
773.443958.558
423.442965.768
673.443876.294
548.443359.886
498.443702.005
498.443622.644
573.444379.068
648.444253.608
923.444760.081
573.445230.419
573.444507.208
548.440.198
173.448796.54
273.443358.62
373.443527.9
548.444377.448
298.443382.195
423.443838.439
248.443196.326
373.443539.038
298.442930.979
448.444432.431
648.445111.092
673.444347.394
473.444615.029
473.444630.917
523.444189.176
273.443866.504
98.443218.947
523.443710.215
198.443174.339
248.443693.807
248.443341.352
398.443650.426
198.443281.03
223.442728.99
173.442925.579
273.443241.551
198.443427.372
273.443978.599
248.443869.933
198.443819.909
223.443216.264
148.443321.924
248.443506.423
373.443986.586
273.443683.82
423.443864.235
248.443101.353
473.443274.093
323.443525.678
448.444083.324
523.443016.564
2273.446261.319
523.445532.095
348.444402.328
CDF Proton Halo Loss
D0 Proton Halo Loss
Store #
Loss rates (Hz)
Proton Halo Rates at IP's
pbar eff
pbar eff
23.5250178699166.2024975294
33.6891260841193.2389863181
26.54213360581.0134040359
31.091866306210.8523092295
31.57828914460.0000310494
32.862221395195.5898158513
26.963820657198.4420046007
30.3297535766111.4990378365
29.939782500881.9643047227
27.985352984208.2914430369
31.8270624567282.1921877321
30.8585395661210.6426326876
25.1031465924128.0266241043
28.2643980523121.8390804598
27.8774496274164.7785787848
28.4667418264140.6518010292
25.9851764008194.8395633477
25.7345494146183.0785638109
10.73901250562.8036064865
2.57258677684.863147664
10.197919269926.8160790948
11.00169593979.0007035414
11.00169593974.1451315362
10.796296770456.1713069631
10.197919269939.5803832855
5.538007074752.9002884653
6.9920101925145.8661089386
2.801461798764.4947993458
11.4046457744263.3687484201
8.162191372585.9011785086
8.2118661672153.6536917425
8.5051855537135.4205034003
10.275580701189.4294077396
11.153260505479.2982386384
9.996447847888.4119383718
11.24622045695.3715852187
11.7352750179123.8885968918
10.3280154862.8653756304
11.50186169374.829577414
11.803714728323.709628772
1.11518850547.8638604129
1.6606345884141.9180319161
1.4550567288149.5034675996
2.0077736169219.6179433708
1.2082675421171.6656405571
1.4005594898137.0030272563
1.7446384074106.2349293464
1.7893294966175.2244025252
8.21493689182.7901477852
8.328097804124.3953934533
6.804801579350.549653687
6.6600376686117.9494318518
5.843525296297.0028457684
4.9917636109105.9701388622
9.247916912256.6625818813
8.112656796177.4290198564
1.5745632254175.1098237861
2.76931283818.8422271149
0.795029950398.5615505084
1.420365654527.5267982251
2.350803830590.3479744824
0.997044269955.5619657143
10.046065693572.2480812093
7.42419530272.0648750285
10.5432174395111.6271524847
9.459177225856.1471303884
8.878271061737.9826196553
8.801058230537.6506377321
0.997044269932.6913874709
9.097764720365.3612598918
6.568142817694.3067089242
9.922933311446.49926359
1.935943723395.8041415497
9.349933108147.018341201
4.658259744371.2612145836
11.7352750179164.1704247548
16.392552612586.5733458619
14.616785875260.0902606791
10.710597728367.5038836375
13.188145082354.9276376464
11.122614426275.0090066904
10.301731369160.0407211606
9.971822270268.6619054439
25.309480697528.2942922333
6.12957267246.9922777166
13.588306542213.5366269841
13.145317752710.8162253055
9.68525924115.5497044032
14.10737944424.3634846003
10.60210221477.0255557843
3.12955404759.1059541152
8.5051855537158.3805771307
11.0921362995234.3684929724
8.7064104947158.1459680196
10.407678763924.1622401075
11.3726046363321.9069651148
13.2746424186247.9782252013
13.0184885971285.6308718466
11.8729573975278.5424237336
13.1881450823258.786681207
14.0583848723116.081898262
75.0486414652223.7379521115
15.6328690773223.7379521115
5.29185390263.7009402044
15.940678339963.7009402044
48.807073083484.9494335097
13.274642418684.9494335097
44.5133933716200.357469067
81.0600446318331.6630100417
53.3061601169225.5175371261
156.0649437572261.0677941203
72.3653390426240.0703869899
101.6741076473208.6157973414
79.4686824172217.3162932376
64.3167636729190.909922384
73.682568852846.198841048
61.3905042228265.6983371861
59.5832406011240.8680903647
72.3653390426233.1315135624
109.5887758572343.5735790687
76.4663248297266.3894013669
96.5230562036334.0161643278
62.335882245305.795997618
61.3905042228324.7800338036
79.4686824172291.574085684
1.1503471957218.3416572697
2.2974707458269.9383964234
142.9511768224
1.27659402742.7275887272
1.558159080618.4250679823
1.591234023829.3278657244
1.6211859138188.6658457635
2.2120973352218.7393465272
2.3925232796193.52290041
1.309211431897.2393945399
2.1613107059202.4059349168
2.6880265258165.8793869051
3.2675809234124.1253495422
4.077662662946.8442308883
2.2676659882146.1079698427
1.5635331588133.3543475894
3.1000318552112.0127314709
2.6239368762104.524382081
4.5125737977146.4608795346
3.0187641536196.0309575562
6.1807422485168.2514862466
1.498138306374.9378200175
3.472684304476.3540823418
1.784716991272.4527719429
1.48409710329.0648343648
1.734933476962.541299973
1.200248842640.6412823018
5.3406495612112.8937213679
8.79076926662.0832626263
73.6764236954.5767408785
63.3055520452146.9065322093
50.6345455801204.6151572941
51.2759965096198.8142916613
79.4620546897286.3535214906
82.7095447419285.8832625295
75.0423823713246.2652331541
59.5841590921232.3419038264
00
00
130.8314305736328.1711717599
22.4944747488208.2844180876
135.2015798236285.3124562645
40.100053974157.6200227636
87.1622773998175.453790126
21.310165574448.9072973634
162.3096442629125.6638606137
97.3913303225106.663764001
94.2672049993146.3951641445
103.1553081461150.9109831701
135.2015798236150.9483186761
135.1961551925150.9493273091
112.2614630249130.2309473514
49.396632946795.6499331522
90.06811234896.3764357033
122.8822813618143.28692777
71.0855969842123.1262189773
67.5276120867137.4367583587
90.068112348207.2636037747
103.9469796741195.0157902012
82.7062262248169.7957332578
193.3102678827200.4739955048
150.2527923877207.5413593363
72.3564004983190.8574148755
47.0974447482292.2345794009
10.433220277378.9739340998
47.0974447482181.7492357751
67.5276120867211.9849182139
68.6733612137210.8308806601
10.5479188315
112.6242879308224.6346884547
92.1180257784147.7889158533
92.1180257784175.162063486
135.1961551925227.3368592908
139.88543593231
103.959820759153.0420372379
115.8478793124.5091156526
103.9469796741138.1804812731
112.6382009666110.3151424485
184.521203855367.8781117089
109.5887758572129.8285681593
106.7001111301169.3855935659
139.8854359323128.789061852
112.6382009666148.6396033732
96.5230562036104.7825914383
119.2761757488131.2944647882
-268.742388391821836.0761239312
583.4127469182180.2994666373
11.94302005876.6471634827
17.154700956464.3534160713
139.8681573265375.3760023024
290.3986935983361.3295570392
583.4127469182419.9114746353
14.975926506414.6537494413
583.4127469182322.9610336158
213.7258521707186.8961456733
681.6714048963213.7619437567
-64738.2853486884297.7542971733
-938.7842313868254.418793091
2088.978487964285.7890751758
-64738.2853486884283.2514305269
1660.3710328531327.5436020036
1027.9154391597276.0182541957
1027.9154391597245.6124531665
-64738.2853486884206.0510332094
1660.4735961141232.6607665562
-7195.1887932874234.9562817942
-996.287427508281.309104059
819.7308770395235.003590808
407.3048406443246.1737503607
1377.8970015523261.3297745351
1027.9566833946217.8066880275
583.4361558597210.7372161823
583.4361558597183.8243433183
2089.0623064536183.3775825283
819.76376804551
-64740.8829174664169.5088553723
-585.7631298247194.2453796912
1.17340867390
4317.3478965782277.5784708328
2089.0623064536230.07681229
2089.0623064536244.5685747726
819.7637680455306.2180319498
509.9325733982215.0903323721
2089.0623064536227.2515651131
-64740.8829174664238.4662380937
2106.25183.3648782316
1383.5616438356246.7474203679
253.9667401202228.079926959
44.7513377191176.9252521444
184.5058146956217.3906454257
270.9686748537224.7419055425
225.6499226203220.9475677057
509.9325733982284.6516094444
89.0805660168227.9182589428
176.4619714773301.1148951985
184.5058146956285.2205711262
272.0643431635234.3527738265
339.0654005187243.9648483871
126.7349499899201.5136362312
139.8737694177253.7749813746
339.0654005187252.7887943817
169.0901981492292.1940210191
387.7932688991262.643067501
509.9325733982244.0738040314
312.8574873701211.1476943062
270.9686748537221.2826126932
253.9667401202262.5257177831
203.0142164121298.1343459008
65.143959224692.8060957352
144.874620224120.0879254696
583.412746918243.8209619516
253.95655032911.2188958251
162.30313198759.7885866348
370.0507610548.3666228544
142.327375945614.5438832652
270.957802901757.1364801627
115.847879310.9395661872
169.0834138206300.9928050647
101.3442397024221.8456204888
62.3281825361219.8196021372
313.281733746173.6265123619
312.883582015773.5901577544
370.659340659370.858812074
370.0507610570.82820906
156.157407407497.7212554382
156.045666663697.7155963901
150.3566121842105.93875
150.2527923877105.9093252756
103.9979445015116.6125082727
103.9469796741116.5933754861
126.8045112782191.0034168565
126.7298650615190.9575785439
122.9526123937191.8987597346
122.8822813618191.8644616602
137.4839864228163.0121240132
162.3031319875178.0295061781
270.9578029017581.1541438841
339.051796353406.3246698324
81.0500321201312.1303200754
139.8681573265223.5489952997
135.1961551925141.2480508278
135.19615519259.1651788935
139.8681573265133.4288761803
407.288498538966.1429173629
96.511133705664.2385908452
122.882281361841.3565481012
76.456879732971.6229702674
203.0060709657150.9585673591
122.9526123937258.8280363224
150.3566121842253.7162726008
144.9713467049272.4342891278
126.8045112782279.5311063439
156.1574074074238.1488250653
213.932346723282.386996904
58.7289611143140.2383148831
126.7298650615240.6144498264
90.068112348253.5886859214
64.913334329452.4261824242
193.3102678827262.66950467
135.1961551925247.9062302607
88.1074468104163.3755838285
119.2614427925328.2059516691
88.1074468104196.6014478506
77.92897312215.8867065379
203.0060709657160.9705084255
270.9578029017167.6592368206
144.874620224201.7043994071
144.874620224176.4495093755
193.310267882798.9303576586
260.428100702962.5368130374
162.303131987537.3157735691
270.957802901739.5650956775
9.1377167597127.8848159452
6.71286404653.8536714928
15.2769513355215.5865278001
17.2277190974102.9489553
15.2769513355189.6226831656
19.1878505066156.0763566705
11.3076650919147.0589037015
16.0652434778204.2754335465
22.2463052151201.0507226789
18.4026699946196.691110688
23.0049713103189.3948843392
4.978780657112.5353794084
28.717956723203.1221894519
28.1194062535230.4690368587
27.1754061703249.3325880268
32.1384572286209.5939243469
34.6119671428324.6239690834
27.9253957153239.9818425973
21.6512854134180.9076463934
34.6119671428259.3154677654
29.5568197818190.9747162642
24.2452242012247.0628745504
3.822168469471.8959933659
29.7742492286261.9083902696
27.7340439936245.168802158
23.9581923542220.7247457406
28.3161314118256.2968733993
24.2452242012279.040511709
27.9253957153265.0525904075
26.8153180203196.1801397125
22.8749538255274.5359704477
21.6512854134250.7232043043
17.0105059513227.6841837177
16.3905331195108.2969531202
7.4001827485197.4747584657
8.61338100117.5684596577
8.612714303174.0082514225
8.7815673002128.0406242828
3.80986445784.2840141525
18.8330541597166.7249318388
18.2390050469109.7205159705
16.731150793760.2353410451
26.998399146278.9911949686
22.127706101136.6239669421
20.2460984394151.4440351374
25.7940351772158.4610849057
24.3948891032187.6248506571
16.3262342691137.5937866354
11.9426413313293.9669442998
17.2296952154235.3621566633
15.7249417249320.3049917718
106.686931565473.2358694305
41.3267315734132.000029769
34.910506969661.7656299241
36.48393798675.8485875703
46.026287755270.4382054063
31.0297037233105.8040617571
50.632513993413.585741322
37.497967342614.197673454
34.910506969634.3324594546
45.002770812484.1432151302
34.611967142847.1297737974
36.4839379868.6308748425
21.309310556417.4352719753
72.356400498361.4807936579
38.569975734156.4176953297
31.885273952114.4593528436
32.6570807613107.8798470231
2.745072303949.7495970765
33.7462171971113.5672125378
47.097444748285.8509302731
37.1537519855159.2257497513
50.0069386855168.7527493378
42.18826586319.7675865008
57.8721922081177.898597711
103.946979674134.5721461705
64.308819286251.5651994104
44.023784848730.0603692529
71.0855969842100.5471701723
36.158006716617.3656431321
79.458866470145.0278009478
51.273939186316.6324484904
45.002770812414.6090737307
61.382921286720.4955516905
78.579696653514.946812675
47.321454990321.4176237133
77.9289731242.6767650431
41.538799427632.4101902794
10.5860520212
57.056372988510.4748177506
51.27393918633.742024355
52.606811345118.9127209175
64.308819286225.8952364336
50.632513993414.0697068903
81.05003212019.7601169332
12.41783271842.4963520633
61.382921286727.3557128507
57.056372988511.0019901423
53.299575756511.2531337184
59.575880897610.0714273399
52.60681134516.6282429017
56.263235096215.5915443806
58.711679793533.2466718089
54.010829288221.2593137873
36.815798646411.9381812684
54.025627335890.7529411765
30.451399337961.62364887
109.63163596970
35.22102332060
26.296777546814.5443208628
29.56178790539.6488636364
29.55681978189.646115367
37.848620390713.4860219479
16.5921076848.0694445837
57.872192208133.6352997694
51.273939186355.2435519718
57.872192208142.1930779845
54.741322132511.7888658973
64.308819286259.9661878738
64.308819286239.0921696836
103.946979674164.5503481144
79.458866470127.1032169597
63.303012065537.1634207068
45.508775149113.4626272053
94.263422759422.6473012606
115.847879337.1849834237
51.273939186312.761632966
34.31848999370
46.026287755222.1599067189
48.801044448916.2411123957
42.632645133311.8544048546
64.308819286227.5520770644
101.344239702429.2616780685
58.711679793540.1490847793
50.6325139934120.3649295501
56.26323509628.4945043836
48.801044448911.9264585188
56.26323509627.6224522028
61.382921286735.7928028616
44.50789509123.1885919751
55.491845623521.3570233713
60.46590312886.3004411448
61.38292128672.7743754308
51.931824363925.7733208495
54.741322132526.6811377678
45.50877514918.4650713093
103.946979674180.7846530872
103.946979674169.36325329
101.344239702469.7508964143
82.706226224847.7722182737
109.575239485567.1450014834
73.673467604765.7402962744
79.458866470145.1527448662
103.946979674193.5749019407
193.310267882784.2908170754
139.868157326568.3682040622
106.686931565453.7349408928
68.673361213743.9493215052
96.511133705668.8386535286
92.118025778452.4707581371
193.310267882791.6805482695
92.118025778475.4722348554
339.051796353111.5149077973
156.045666663688.6492063467
69.858661537540.0372772643
96.511133705679.6970309386
98.868656430669.9169699439
96.511133705621.8945244146
270.957802901774.9499960201
115.847879325.283496684
339.05179635353.0924434024
96.511133705627.3345320299
79.45886647016.5577067159
79.458866470111.6529799897
90.06811234833.3593362833
84.431518359723.9746230191
370.0507610571.0390840958
290.398693598392.1968496809
370.0507610569.548483187
270.957802901761.3902549531
290.398693598353.1408758174
270.957802901759.8643198891
106.686931565435.9595368708
77.9289731247.9578066305
76.456879732979.184123819
122.882281361866.7849670235
98.868656430648.72399324
86.230324908564.1231843103
270.9578029017103.4033409549
370.0507610592.1227182736
1027.915439159794.1722755693
112.624287930862.6972129203
225.640868971989.9380047379
130.826181284136.7373496077
583.412746918294.1363653544
135.196155192571.6453965537
119.261442792564.4739519514
156.045666663649.6073991987
203.006070965776.2063586233
150.252792387721.7998282271
135.196155192545.6924078267
103.946979674180.4342444556
225.640868971980.2227195557
37.497967342640.8905566005
238.962823364975.4124672232
193.310267882788.7457082333
150.252792387791.3786739275
370.0964752522108.7974588695
82.706226224885.7761034094
139.868157326587.0818591939
-1654.4983247374127.8470406014
65.347104630659.1494159884
69.6259945387.0359820761
213.7258521707115.1275378554
150.2539698968131.0564488217
452.8591376579122.2843088364
106.8194775599108.8010533711
69.751985393491.8793867478
43.209919876387.8715241219
169.0834138206101.3970117244
169.0834138206101.3970117244
53.520566447195.0860328878
147.9735791019107.7016116274
88.170567484786.1336549378
97.313237127371.209829076
103.946979674154.425363537
-3809.2813311749122.8695328462
423.235166651581.9309643727
212.7484680217101.2907438267
108.111798003724.0672727754
178.609709464780.5505777103
447.8241838899102.1092636948
-345.7732586236142.6251200313
814.4650755845126.4783128747
237.786809986103.6195256396
253.956550329101.2630503232
-570.3202839617154.6979438027
225.640868971996.1289583922
64.999950275768.7717245849
-1255.9175544931123.6130240056
227.690263404187.1408370015
265.2231894306133.3918284985
312.8449347325127.7449008486
156.045666663675.541717853
175.638642972106.4439384525
253.95655032991.4201338886
139.86815732650
681.6714048963105.9876543342
194.031148118694.7896934883
56.999970761469.5511577177
53.926436557172.0142156721
172.515451816497.7178632569
189.351214927277.0937722249
829.419905226289.4126849111
210.965334006298.2833593609
162.059056101475.6228080587
190.7596566681130.5029733132
126.01555058113.1466532047
162.3031319875108.0716235733
203.006070965798.500552552
282.2591388746145.8389073528
55.602937672378.6881045222
159.274313695123.2740268184
-918.5062738786133.7955404461
213.7258521707119.9523684775
1028.0424226417104.559151035
339.051796353101.8941689219
407.288498538990.4359267404
354.507932328473.1697522096
3300.6629831897126.2443740757
-1262.0350863984161.1607080057
-18752.9993602047160.5660648673
444.872195798986.4916857007
921.3341730439147.8143726539
189.485105961483.592230529
270.957802901773.9200023114
819.730877039568.880381877
238.962823364986.2523187641
106.6869315654244.7170439532
312.8449347325193.1323866851
57.872192208154.2404043327
225.6408689719166.3017420996
162.303131987586.6429542199
4317.174673607170.1089500861
119.2761757488251.2263917546
193.310267882774.3649575248
312.844934732539.8200827388
34.0299478247242.1431497747
407.2884985389109.8794238288
184.4984118533117.3779988213
407.2884985389106.0189449977
00
3619
59.37
Store #
Halo Loss Reduction
Halo Removal Efficiency (Anitprotons)
proton eff
proton eff
9.55227268430.9086214899
10.44100316330.8199402318
9.92785106261.0078381284
9.3100960711.0444128985
8.7458002840.0000024329
8.11346772981.1023632318
7.78513760191.0275572878
8.1626464691.0463206731
8.50640928461.1495782302
8.34341718960.9981469338
11.01009440340.7757677825
10.66188113590.8542651374
9.73644128250.9702421013
7.33348349310.7777938517
8.29654566740.9221912527
9.01946776210.9709343576
10.20366927990.909777313
9.28906465560.8213038989
31.24530682131.2944977356
79.70426671731.4684778717
33.29522922891.2273146907
25.38506286850.4125537652
18.35975181190.136723837
35.28426505941.3225244176
26.54638103192.5534728023
23.47632647911.4738310859
33.85043879511.9862628928
25.07101306731.3181025118
23.47632647911.1776043754
19.90775253132.0044761761
40.22228483521.38886033
27.8196976351.18875647
31.24530682131.5705420239
35.94852870861.4588477169
32.23771343121.4912891866
37.96551182411.327475459
30.08753740251.2211689958
32.75793867751.5562829729
3.43789371681.4813071428
15.74000432351.394495637
38.32388826921.0505463633
36.26967686971.1076385447
26.81296251281.0682582151
17.78944150741.2027235839
14.40564340351.1085663925
11.26189096540.9924454865
10.98114048931.1426236951
10.64184092931.0304362004
36.59661474311.9534635981
35.63301781541.4314929637
36.92950031981.4643372597
39.82770701111.6324357231
41.45436478281.339248789
35.01832435261.4424036435
41.88200482121.3712385164
38.68909499671.4166226326
54.17763598261.724036799
36.59661474314.1600471435
6.76594821926.3548813179
13.54204118595.9102943984
33.57053857231.2178942873
25.86977084891.2748977397
40.22228483521.2652013608
35.94852870861.060311543
41.03536939271.0674710693
40.22228483521.2113965978
37.96551182411.5779974216
34.71886251742.3496367844
31.24530682132.469457934
36.92950031981.3306772774
37.26849739191.1799447212
40.22228483522.1328128092
39.44079554281.0693378985
40.22228483521.3331534095
38.32388826921.1885108525
43.73786991141.0250501787
73.90100026361.5419300659
44.64535298522.952333258
52.0922102732.1155136342
58.89300456412.5395330785
49.54918918712.3067584307
46.16843504342.5458475239
39.44079554282.8112966361
24.61500379056.8500902603
66.02310442531.0212557212
61.57249590221.2637077554
50.78888712081.4091252499
47.24290019071.2896443382
61.57249590221.5464825892
14.87766105781.8780817596
11.70414466251.7037186508
26.20370895310.8796695698
39.82770701110.9232496604
36.26967686971.4919657431
58.05092431070.1490631061
45.64932415480.6294390163
58.05092431070.7139375922
57.23258552030.6935604541
54.91038487630.6022204283
51.43229328710.6023474562
15.32413257282.488590921
15.67921259790.8649882556
75.27112258780.8649882556
15.98793435870.9955604486
5.30754156230.9955604486
13.31399499441.5430913027
48.95176127761.5430913027
13.35780002211.2582475387
17.81161896940.6784989726
13.22724123730.5971388726
16.3028353981.6273555855
13.35780002211.1079411787
15.67445433311.3753539062
14.6601172251.5154010445
11.34258507631.1196202805
12.04952394750.1338905991
13.0152238140.887007779
11.37436257771.0213516089
7.86904788490.911747677
13.8111979950.7105728918
14.50300952781.0509306658
14.92966651170.6885081629
12.12147480610.9628920147
12.80989595430.6528964514
14.82066602031.0012218879
13.23145980921.0771192483
14.40889775060.9823075906
12.73206131821.5850677675
10.32817679721.5900644855
17.30376555241.4749647389
11.15884257821.2976788704
11.51917203671.9977330111
11.35461578790.1339258894
9.60702103871.4505723928
1.44111426961.4361223413
6.65775601550.8911719026
4.74320721381.2177550957
5.54940590281.0443368431
59.58415909211.8711412374
6.08779002272.7793667442
5.53661097051.3970122511
9.35007896751.6838624119
7.72611207534.4870704919
8.65072755872.8136529668
8.06474877593.7832744405
6.37543045181.056884158
0.72264979422.1547794596
0.61326488773.3585651443
0.74931453642.307448476
0.83523950423.440133297
1.06256811212.4580976086
0.85258832421.7972582346
0.85044298533.141864011
11.9566981742
14.34803999191.2039207896
12.57084960071.1826838672
8.56568459651.9960481453
9.66715054811.0266346438
10.49161415171.1906990346
12.15676222140.6997765621
12.23000949581.155629836
10.85742647970.6344742493
00
00
17.20624436291.1005815969
7.82290587541.5077898152
15.15128895682.5313697985
0.13919684021.7400675478
1.10177191192.5375997431
0.91627501650.0482304285
1.01944803241.1858339863
1.07047156941.0168903167
1.23802923563.4496578605
50.0008501431.4003911673
0.78965026532.6381706025
15.86104456712.6353523182
16.20937782511.9430447368
13.53427406231.1184102652
14.71143359951.108999286
13.7637170710.7905033081
13.40024374661.2778830365
11.87186691371.1616480492
13.57954864161.3459971082
13.7637170710.9563489497
12.7279997091.81863705
17.35265164730.6718560909
12.57034696491.1787363685
12.22952048821.7462720773
19.80328490230.4392232063
7.54629845541.6525376214
13.67101263031.1262613316
15.10286961630.8000608272
14.81884078712.2304076272
16.5444673683
12.80831835671.0162612738
13.05547376712.7139131109
8.94205983092.6124556183
11.04110727152.3093564466
3.6967076841
5.65750201242.5592738538
12.64868211144.5312319357
6.39259114943.4661932445
2.33763972254.6715048378
6.04231849033.9506078786
2.25086557794.8649026325
2.12721713073.5674473953
3.92275238285.3276670919
2.0862475493.7188424753
2.75412296515.1795091205
4.89320454214.4469706224
95.49259556884243.0668466068
9.7597276131.2624729738
5.50857659841.2050480655
17.42714649760.6537528396
11.64266203160.6839478655
12.78607629360.4761623319
9.07661285380.5618747304
15.9091698239
13.53427406230.7864348346
8.84529330352.5807657227
8.18537993492.2225987919
14.68482464041.1235091143
20.87784296861.2045490227
17.9274011032.0688677152
14.76494186321.1340179249
13.60146201421.2920706506
15.09434783381.6817206347
16.88353934661.55919055
16.30704915611.3054742473
15.61696991892.568325485
18.49928034211.9791085542
17.80942538661.7327015379
16.64129547882.0135267363
14.15553999351.1284485748
16.66107400781.2481940934
15.39377111341.484144984
14.61557105011.5881534543
14.93923765150.807182621
15.8147972990.7225174793
15.57143424311
21.42295505941.3354507309
22.49447474881.1876798098
13.4240975795
17.08298457750.6096713766
18.48746619580.8550139726
17.08298457750.8009682297
14.25524883080.2380648331
14.30563185821.1289707028
18.0746844030.650606109
17.52681850920.956559071
22.60006733081.5757362993
14.91215118851.1645347275
9.6784908590.3363532916
3.55621717740.2414649081
7.5747624350.505139309
10.60120500050.6877880136
12.19327585710.8272321826
13.76426742470.4417482145
10.3995450258
5.81656583630.2931788186
6.80071082810.2271528132
10.30463038180.6665670973
5.18508754720.5403390558
2.71193661750.5457158224
4.30070801290.3641165767
7.44966029140.4504714033
7.51864659920.2023795629
10.900080980.3804100803
4.98760592950.7197234252
4.52102685090.7003442258
12.19327585710.4144557129
8.67551570980.4027179886
10.03764239530.2952997418
10.59438027411.1968969435
19.73335200933.1077633127
30.51497410070.91990749
18.96961233791.4048402904
9.83063223111.665324866
19.82140219281.2265751869
0.96616165651.8245962482
22.06964579290.9778930617
21.48559990181.1699167264
15.7993134520.4986579539
9.29065770490.8452210344
7.64579054110.9641672646
-101495.1270646128
0.37983726935.1270353638
17.20752797561.8194106057
17.20555638441.8194001281
13.31365604091.8591792557
13.31235531471.859171225
12.850088631.6280344725
12.84885901521.6280303861
11.21684350131.416718981
11.21584958291.4167366547
13.01487560910.9618249156
13.01362092930.9618387488
5.89270161991.0883910387
5.89231547241.0883912557
13.33339797711.1253572677
5.60744141482.0530434518
28.40006884120.1688538791
2.02169509610.7859201885
17.80942538660.9072518835
17.42714649761.4755472739
14.14745812331.7777918058
16.17708019842.306658703
6.97572674461.3687808143
29.86250809191.0103418183
6.69943188871.5711947955
7.99200074971.8762478376
2.4768713471.7687759712
14.29693594651.1389515254
13.95435171180.9985657786
14.00248344370.9972135891
13.40155816721.0008845085
12.37984874360.9951730557
15.38193391941.0000217761
15.44043815610.995007499
13.76508883771.0014802427
13.8576873710.3487900023
13.22561224170.4174087827
21.48559990181.5670694192
13.8576873710.6607968795
14.44960617590.6978307401
14.92782785460.529735762
13.22561224170.2161330015
12.22952048820.6267594659
17.65451879120.2072743316
12.49297612830.8980465134
14.00107361031.1393990518
10.94372120810.5887561262
13.40024374660.762447878
13.57954864160.9859601972
16.04916659291.0064179144
8.47592187370
11.56740594341.5288972381
7.19838095560.8307780532
8.90349398690.8081249536
7.94507524991.0490458058
7.46305767431.993139369
8.10367934051.38526999
4.47598344142.0528751449
7.68923766751.2269525219
8.07145395370.9480020383
8.78784857520.9059238261
8.21852331141.0668616145
8.11988872210.9924993409
8.33666917490.7804201791
3.91483313941.2954786165
8.47592187370.9142743671
8.90349398690.8107844929
10.02484748270.7255881198
9.53059246240.4396230896
10.12486152460.4644457784
10.33099830611.0220655924
9.33337950090.5664258483
8.9427218190.8940496914
8.92306478950.3414516429
17.50228371770.4962432015
6.15124472370.7206764615
8.2687447040.5790402115
7.35488518990.6895848006
9.24832522890.3398196711
7.68923766750.3621648194
7.49059980340.5407560969
7.99200074970.5672273424
8.03948384910.3900433946
6.42379513420.5920163662
10.33099830610.457105675
10.46415114181.3288458656
7.64579054110.4476908001
3.86427862220.8535592148
3.87373988680.8535540637
2.08325612991.1726385644
0.99709316653.359280817
8.31265916370.7316817042
8.76255628680.8636025109
5.7582655211.45754822
9.85009247541.0228249682
10.94182525950.7371774304
8.38151246580.8595696978
7.46899911431.2259706076
6.14277909310.9965022803
7.30719237441.2043937421
7.60941494960.2181545708
3.45381937330.5564038497
10.3418582218
10.76952174582.1922678195
4.3888773472.4289750462
11.8028319090.7571107354
12.04803999320.9710008618
7.70382997910.8439514443
1.46368449810.8551155101
12.80831835672.8137222885
11.0329514570.6232010501
10.82696875432.5329879673
12.41655190472.2369357382
11.06301910730.6156344267
10.60078111940.8182098579
7.63141706850.3732704342
20.20247917761.3384188683
12.01238832262.71857743
7.99200074970.9275864938
5.2519604172.744995385
14.1424708025
12.37868936040.3628532945
14.87313466520.3194293215
12.49297612830.2850010353
14.09832435920.6621138255
11.6671428441.5430768391
11.12364875530.308979061
18.29089654033.6086023549
14.55321075393.5403552158
12.4546467792.3382163626
13.95294963592.2490025148
11.4049138951.0805494182
15.03842991860.9467210467
13.35615494760.7293591126
12.80831835670.652028508
13.7637170711.0166864007
41.160822773945.0075233939
30.083814148269.7382736778
23.779849614875.5398126605
1.127171435638.850832673
10.606180384
22.686331324421.7326432256
73.891791414313.2580438926
17.352651647321.7497761438
18.712466995139.5401483352
17.887902577625.5081322479
14.001073610319.3194384086
10.855922699414.7307404579
4.22006342243.0118270859
15.322240708826.3613596679
5.791439466222.4642384013
18.886586990818.4609336641
14.196935555214.039369209
18.712466995129.4213160543
29.644434253325.9294907672
20.303523099242.1981387294
15.79931345224.6730372632
29.347447795864.4775233249
19.099660249257.0482103725
150.35661218420.0020222447
23.40735600280.0002585315
20.2460984394113.9352398051
26.1270333075102.6091103203
26.2004683176102.6024961775
24.9140632979143.6956546832
22.3122525525123.2331569547
36.9249254122109.6099023795
70.0656858413124.955920161
38.319139569110.5659466011
33.2911069268112.633008328
27.816256263111.4720043091
28.0081751043124.7456187036
43.2141941033118.3970522405
36.5920813142108.1253262618
29.6444342533120.7458750427
37.6091156372121.1939172595
38.319139569139.675381097
41.8768122999120.1265768416
32.7538832445135.3063295134
21.71546911910.0298678257
27.440202355694.9995789879
30.5364146788113.6104500863
29.8625080919142.146719283
30.308424818795.1618399881
32.4917213073147.9736017713
31.729825164888.5150631942
28.008175104331.3873265856
31.729825164828.3604555189
31.483738490691.359868503
31.979789124779.6498416269
37.9608077982126.7869503618
28.4000688412110.0085268076
31.2414395833116.2515564263
33.56638200287.7864083137
34.420216114346.4799594934
39.822770793116.2378759716
49.54303860519.7082304359
34.71456298064.437937569
65.540764898949.6685044434
73.891791414358.2229441819
63.490617101760.813268022
50.155152611435.602152332
94.5427243255106.3345130446
57.22547252867.4614942455
44.639815433959.8682013232
79.694325606271.9657323057
145.303736899480.3903790743
88.368519034536.1152716006
73.891791414317.1623901353
46.693693867841.4939433746
57.22547252844.5455936397
51.425907045617.1366287076
71.296255549931.7134857151
50.155152611476.7353301245
68.270164644139.6707112061
65.540764898949.9682436335
37.960807798280.2044640353
52.762728236947.4281369714
58.043708677480.6810189145
46.162707192415.7502126387
140.282458807986.3351161869
81.290203774338.6360327958
169.584155470957.1963256989
64.49940385423.884287204
62.512899768480.7588718105
54.903563004579.7858436463
57.22547252891.2860428888
54.170905927189.8147197134
79.694325606256.0226541353
99.161594231242.1567493139
64.98462668856.7110258771
53.768017370112.5652775345
45.262488274842.4746205996
38.560506715323.1204247931
57.2254725286.6280026062
51.425907045643.786833154
50.782581413593.6503797707
60.6451034994123.5604316414
60.6451034994147.7843182313
52.7627282369122.4209797757
78.159901112140.4863770547
109.899876548654.7115775309
65.040436844833.0366971735
62.512899768466.6905213134
88.368519034530.3784093974
70.065685841361.9565644614
121.363963373237.7289458323
86.485838219350.1382193154
73.891791414368.2838341732
99.161594231221.0086681593
69.521549574834.6820517931
84.68170454924.1855781555
99.1615942312174.5969677822
101.6445074316105.0240127549
119.614754137129.799307246
176.9774379185119.2444917011
116.191085821661.9601801889
112.957951560540.9940531659
81.290203774359.2980039783
65.716108818631.5822889784
162.783815603744.2753147001
340.054758075347.0746073952
213.038534087855.5083849101
137.551041248718.8059883819
122.860864211728.2789658636
80.86545571833.8283037162
63.173537701778.5463194803
119.066694347449.6197565427
128.8599165998102.463573563
104.4978054241100.7007384039
156.507837271168.4576876087
169.584155470987.0551286568
169.584155470987.0551286568
145.3037368994167.3370483294
117.619848344166.1406779258
77.7804284128128.4421785832
97.71892613106.0862174564
130.1983485631110.7421921032
54.5494993387162.5993010048
120.9994548173191.4438980065
91.7018143398136.1663937544
11.0107885731
93.5143650727138.0578120412
105.964809040260.4966661237
49.4389117558166.0523137595
133.489426373163.9448759307
137.7914346208206.4339410183
131.2137231072178.8609008634
95.0511075949188.7260736511
149.3242783321206.3690375395
67.8714918678129.3846353716
155.3064400931139.3386572952
159.0180202231116.5493782994
175.3643659319103.5976219141
151.6114706064152.3343975279
109.8998765486213.1342407829
176.9774379185158.435836976
176.9774379185234.0867672404
185.04474874191
585.135735701177.4657067438
284.4717012873205.4656376726
235.810148886190.5409909578
185.0447487419237.503378224
340.0547580753174.566276634
239.6701823163208.0138728269
408.4927628401266.4134149646
271.7596990146227.0836029452
86.109234687221.7422915688
226.3088529123193.8909765318
156.507837271168.7751243766
150.6978231171159.4312160342
214.358613551993.6749868744
214.358613551978.1382093439
193.8826646798210.5450599354
340.5169031597192.9537962459
868.6605241772183.0221187239
144.4500649549102.8846290579
236.2096401935131.606404987
374.3798985671206.9077209502
259.5634398648216.722433913
254.7082170465270.8937943133
511.4187764564203.5536096896
139.1802721088164.6058387902
441.4260954797199.0458555383
371.1451945582272.702789498
479.5451622657181.5311045898
371.1451945582260.0872975638
408.4927628401162.3225776777
511.418776456434.9852247789
418.9533745077231.6483311071
300.279176771852.4232577265
304.946635002472.3558059025
271.7596990146230.4362053145
292.8830529549103.118510405
239.6701823163230.5653965144
346.3047093866101.0882185936
49.052551537732.5917812964
313.7705354934160.9661319043
226.3088529123251.9509688675
193.8826646798138.0945754839
44.6398154339215.6063682429
193.8826646798212.5279844254
291.2580128573304.2627673358
00
CDF Protons
D0 Protons
Store #
Halo Loss Reduction Factor
Halo Removal Efficiency (Protons)
store vs ratio
9.552272684323.52501786990.9086214899166.2024975294
10.441003163333.68912608410.8199402318193.2389863181
9.927851062626.5421336051.007838128481.0134040359
9.31009607131.09186630621.044412898510.8523092295
8.74580028431.57828914460.00000243290.0000310494
8.113467729832.86222139511.102363231895.5898158513
7.785137601926.96382065711.027557287898.4420046007
8.16264646930.32975357661.0463206731111.4990378365
8.506409284629.93978250081.149578230281.9643047227
8.343417189627.9853529840.9981469338208.2914430369
11.010094403431.82706245670.7757677825282.1921877321
10.661881135930.85853956610.8542651374210.6426326876
9.736441282525.10314659240.9702421013128.0266241043
7.333483493128.26439805230.7777938517121.8390804598
8.296545667427.87744962740.9221912527164.7785787848
9.019467762128.46674182640.9709343576140.6518010292
10.203669279925.98517640080.909777313194.8395633477
9.289064655625.73454941460.8213038989183.0785638109
31.245306821310.7390125051.294497735662.8036064865
79.70426671732.5725867761.468477871784.863147664
33.295229228910.19791926991.227314690726.8160790948
25.385062868511.00169593970.41255376529.0007035414
18.359751811911.00169593970.1367238374.1451315362
35.284265059410.79629677041.322524417656.1713069631
26.546381031910.19791926992.553472802339.5803832855
23.47632647915.53800707471.473831085952.9002884653
33.85043879516.99201019251.9862628928145.8661089386
25.07101306732.80146179871.318102511864.4947993458
23.476326479111.40464577441.1776043754263.3687484201
19.90775253138.16219137252.004476176185.9011785086
40.22228483528.21186616721.38886033153.6536917425
27.8196976358.50518555371.18875647135.4205034003
31.245306821310.27558070111.570542023989.4294077396
35.948528708611.15326050541.458847716979.2982386384
32.23771343129.99644784781.491289186688.4119383718
37.965511824111.2462204561.32747545995.3715852187
30.087537402511.73527501791.2211689958123.8885968918
32.757938677510.328015481.556282972962.8653756304
3.437893716811.50186169371.48130714284.829577414
15.740004323511.80371472831.39449563723.709628772
38.32388826921.1151885051.050546363347.8638604129
36.26967686971.66063458841.1076385447141.9180319161
26.81296251281.45505672881.0682582151149.5034675996
17.78944150742.00777361691.2027235839219.6179433708
14.40564340351.20826754211.1085663925171.6656405571
11.26189096541.40055948980.9924454865137.0030272563
10.98114048931.74463840741.1426236951106.2349293464
10.64184092931.78932949661.0304362004175.2244025252
36.59661474318.214936891.9534635981182.7901477852
35.63301781548.3280978041.4314929637124.3953934533
36.92950031986.80480157931.464337259750.549653687
39.82770701116.66003766861.6324357231117.9494318518
41.45436478285.84352529621.33924878997.0028457684
35.01832435264.99176361091.4424036435105.9701388622
41.88200482129.24791691221.371238516456.6625818813
38.68909499678.11265679611.416622632677.4290198564
54.17763598261.57456322541.724036799175.1098237861
36.59661474312.76931283814.16004714358.8422271149
6.76594821920.79502995036.354881317998.5615505084
13.54204118591.42036565455.910294398427.5267982251
33.57053857232.35080383051.217894287390.3479744824
25.86977084890.99704426991.274897739755.5619657143
40.222284835210.04606569351.265201360872.2480812093
35.94852870867.4241953021.06031154372.0648750285
41.035369392710.54321743951.0674710693111.6271524847
40.22228483529.45917722581.211396597856.1471303884
37.96551182418.87827106171.577997421637.9826196553
34.71886251748.80105823052.349636784437.6506377321
31.24530682130.99704426992.46945793432.6913874709
36.92950031989.09776472031.330677277465.3612598918
37.26849739196.56814281761.179944721294.3067089242
40.22228483529.92293331142.132812809246.49926359
39.44079554281.93594372331.069337898595.8041415497
40.22228483529.34993310811.333153409547.018341201
38.32388826924.65825974431.188510852571.2612145836
43.737869911411.73527501791.0250501787164.1704247548
73.901000263616.39255261251.541930065986.5733458619
44.645352985214.61678587522.95233325860.0902606791
52.09221027310.71059772832.115513634267.5038836375
58.893004564113.18814508232.539533078554.9276376464
49.549189187111.12261442622.306758430775.0090066904
46.168435043410.30173136912.545847523960.0407211606
39.44079554289.97182227022.811296636168.6619054439
24.615003790525.30948069756.850090260328.2942922333
66.02310442536.12957267241.02125572126.9922777166
61.572495902213.58830654221.263707755413.5366269841
50.788887120813.14531775271.409125249910.8162253055
47.24290019079.68525924111.28964433825.5497044032
61.572495902214.10737944421.54648258924.3634846003
14.877661057810.60210221471.87808175967.0255557843
11.70414466253.12955404751.70371865089.1059541152
26.20370895318.50518555370.8796695698158.3805771307
39.827707011111.09213629950.9232496604234.3684929724
36.26967686978.70641049471.4919657431158.1459680196
58.050924310710.40767876390.149063106124.1622401075
45.649324154811.37260463630.6294390163321.9069651148
58.050924310713.27464241860.7139375922247.9782252013
57.232585520313.01848859710.6935604541285.6308718466
54.910384876311.87295739750.6022204283278.5424237336
51.432293287113.18814508230.6023474562258.786681207
15.324132572814.05838487232.488590921116.081898262
15.679212597975.04864146520.8649882556223.7379521115
75.271122587815.63286907730.8649882556223.7379521115
15.98793435875.2918539020.995560448663.7009402044
5.307541562315.94067833990.995560448663.7009402044
13.313994994448.80707308341.543091302784.9494335097
48.951761277613.27464241861.543091302784.9494335097
13.357800022144.51339337161.2582475387200.357469067
17.811618969481.06004463180.6784989726331.6630100417
13.227241237353.30616011690.5971388726225.5175371261
16.302835398156.06494375721.6273555855261.0677941203
13.357800022172.36533904261.1079411787240.0703869899
15.6744543331101.67410764731.3753539062208.6157973414
14.66011722579.46868241721.5154010445217.3162932376
11.342585076364.31676367291.1196202805190.909922384
12.049523947573.68256885280.133890599146.198841048
13.01522381461.39050422280.887007779265.6983371861
11.374362577759.58324060111.0213516089240.8680903647
7.869047884972.36533904260.911747677233.1315135624
13.811197995109.58877585720.7105728918343.5735790687
14.503009527876.46632482971.0509306658266.3894013669
14.929666511796.52305620360.6885081629334.0161643278
12.121474806162.3358822450.9628920147305.795997618
12.809895954361.39050422280.6528964514324.7800338036
14.820666020379.46868241721.0012218879291.574085684
13.23145980921.15034719571.0771192483218.3416572697
14.40889775062.29747074580.9823075906269.9383964234
12.732061318211.585067767542.9511768224
10.32817679721.2765940271.590064485542.7275887272
17.30376555241.55815908061.474964738918.4250679823
11.15884257821.59123402381.297678870429.3278657244
11.51917203671.62118591381.9977330111188.6658457635
11.35461578792.21209733520.1339258894218.7393465272
9.60702103872.39252327961.4505723928193.52290041
1.44111426961.30921143181.436122341397.2393945399
6.65775601552.16131070590.8911719026202.4059349168
4.74320721382.68802652581.2177550957165.8793869051
5.54940590283.26758092341.0443368431124.1253495422
59.58415909214.07766266291.871141237446.8442308883
6.08779002272.26766598822.7793667442146.1079698427
5.53661097051.56353315881.3970122511133.3543475894
9.35007896753.10003185521.6838624119112.0127314709
7.72611207532.62393687624.4870704919104.524382081
8.65072755874.51257379772.8136529668146.4608795346
8.06474877593.01876415363.7832744405196.0309575562
6.37543045186.18074224851.056884158168.2514862466
0.72264979421.49813830632.154779459674.9378200175
0.61326488773.47268430443.358565144376.3540823418
0.74931453641.78471699122.30744847672.4527719429
0.83523950421.48409710323.4401332979.0648343648
1.06256811211.73493347692.458097608662.541299973
0.85258832421.20024884261.797258234640.6412823018
0.85044298535.34064956123.141864011112.8937213679
18.79076926661.95669817422.0832626263
14.348039991973.676423691.203920789654.5767408785
12.570849600763.30555204521.1826838672146.9065322093
8.565684596550.63454558011.9960481453204.6151572941
9.667150548151.27599650961.0266346438198.8142916613
10.491614151779.46205468971.1906990346286.3535214906
12.156762221482.70954474190.6997765621285.8832625295
12.230009495875.04238237131.155629836246.2652331541
10.857426479759.58415909210.6344742493232.3419038264
0000
0000
17.2062443629130.83143057361.1005815969328.1711717599
7.822905875422.49447474881.5077898152208.2844180876
15.1512889568135.20157982362.5313697985285.3124562645
0.139196840240.1000539741.7400675478157.6200227636
1.101771911987.16227739982.5375997431175.453790126
0.916275016521.31016557440.048230428548.9072973634
1.0194480324162.30964426291.1858339863125.6638606137
1.070471569497.39133032251.0168903167106.663764001
1.238029235694.26720499933.4496578605146.3951641445
50.000850143103.15530814611.4003911673150.9109831701
0.7896502653135.20157982362.6381706025150.9483186761
15.8610445671135.19615519252.6353523182150.9493273091
16.2093778251112.26146302491.9430447368130.2309473514
13.534274062349.39663294671.118410265295.6499331522
14.711433599590.0681123481.10899928696.3764357033
13.763717071122.88228136180.7905033081143.28692777
13.400243746671.08559698421.2778830365123.1262189773
11.871866913767.52761208671.1616480492137.4367583587
13.579548641690.0681123481.3459971082207.2636037747
13.763717071103.94697967410.9563489497195.0157902012
12.72799970982.70622622481.81863705169.7957332578
17.3526516473193.31026788270.6718560909200.4739955048
12.5703469649150.25279238771.1787363685207.5413593363
12.229520488272.35640049831.7462720773190.8574148755
19.803284902347.09744474820.4392232063292.2345794009
7.546298455410.43322027731.652537621478.9739340998
13.671012630347.09744474821.1262613316181.7492357751
15.102869616367.52761208670.8000608272211.9849182139
14.818840787168.67336121372.2304076272210.8308806601
116.54446736830.5479188315
12.8083183567112.62428793081.0162612738224.6346884547
13.055473767192.11802577842.7139131109147.7889158533
8.942059830992.11802577842.6124556183175.162063486
11.0411072715135.19615519252.3093564466227.3368592908
3.696707684139.885435932311
5.6575020124103.9598207592.5592738538153.0420372379
12.6486821114115.84787934.5312319357124.5091156526
6.3925911494103.94697967413.4661932445138.1804812731
2.3376397225112.63820096664.6715048378110.3151424485
6.0423184903184.52120385533.950607878667.8781117089
2.2508655779109.58877585724.8649026325129.8285681593
2.1272171307106.70011113013.5674473953169.3855935659
3.9227523828139.88543593235.3276670919128.789061852
2.086247549112.63820096663.7188424753148.6396033732
2.754122965196.52305620365.1795091205104.7825914383
4.8932045421119.27617574884.4469706224131.2944647882
95.4925955688-268.74238839184243.066846606821836.0761239312
9.759727613583.41274691821.2624729738180.2994666373
5.508576598411.94302005871.20504806556.6471634827
17.427146497617.15470095640.653752839664.3534160713
11.6426620316139.86815732650.6839478655375.3760023024
12.7860762936290.39869359830.4761623319361.3295570392
9.0766128538583.41274691820.5618747304419.9114746353
114.97592650645.909169823914.6537494413
13.5342740623583.41274691820.7864348346322.9610336158
8.8452933035213.72585217072.5807657227186.8961456733
8.1853799349681.67140489632.2225987919213.7619437567
14.6848246404-64738.28534868841.1235091143297.7542971733
20.8778429686-938.78423138681.2045490227254.418793091
17.9274011032088.9784879642.0688677152285.7890751758
14.7649418632-64738.28534868841.1340179249283.2514305269
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