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Paths in Nuclear Structure Donald Geesaman Physics Division Argonne National Laboratory

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Page 1: Paths in Nuclear Structure - Laboratory for Nuclear Science · reproduce nuclear structure Theory vs Experiment: Now Theory sometimes wins An experimental report of a bound tetra-neutron

Paths in Nuclear Structure

Donald Geesaman

Physics Division

Argonne National Laboratory

Page 2: Paths in Nuclear Structure - Laboratory for Nuclear Science · reproduce nuclear structure Theory vs Experiment: Now Theory sometimes wins An experimental report of a bound tetra-neutron

2

Why Paths?

“The mission of Nuclear Physics is to understand the origin, evolution and structure of baryonic matter in the universe – the matter that makes up stars, planets and human life itself.”

As we stand on the shoulders of our progress, we now see over the walls of the “maze” to the clear paths forward.

Page 3: Paths in Nuclear Structure - Laboratory for Nuclear Science · reproduce nuclear structure Theory vs Experiment: Now Theory sometimes wins An experimental report of a bound tetra-neutron

3

What does this mean to me?

Given a lump of nuclear material – real or hypotheticalWhat are its properties?What bounds its existence?Why does it display such amazing regularities?Where does it come from?What fundamental forces are at work?What forces were needed to create it, but now seem to have disappeared from view?

What is it good for?– advancing our understanding of what the universe looks like

and how we come to be here– advancing technology

Page 4: Paths in Nuclear Structure - Laboratory for Nuclear Science · reproduce nuclear structure Theory vs Experiment: Now Theory sometimes wins An experimental report of a bound tetra-neutron

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Scope of the problem: Nuclear reactions control the time-scales of the evolution of the universe.The origin of nuclei provides extreme examples

Binding of the deuteronDeuteron Binding Energy, 2.2 MeV ~ 2(Mn-Mp)~ (md-mu) ~mu ~ md

N-N Interaction Range

Role of lack of mass 5 and 8 stable nuclei– 8Be unbound by 92 keV– Big Bang nucleosynthesis and

stellar evolution

Binding Energy of 12C ~ 100 MeV

triple alpha reaction to CarbonThe resonance energy could be predicted to 100 keV with

the hazy information of 50 years ago. (0.1%)

QCDqmdmumfqqM Λ≈+><

−= )(22

ππ

Page 5: Paths in Nuclear Structure - Laboratory for Nuclear Science · reproduce nuclear structure Theory vs Experiment: Now Theory sometimes wins An experimental report of a bound tetra-neutron

5

Craig Hogan’s “Why the Universe is just so”RMP 74, 1149 (2000)

Einstein: “What really interests me is whether God had any choice in creating the world.”

Phenomena at high energy scales may one day be understood in terms of a simple symmetry principle and at the soft scales of chemistry and biology the multitude of possible pathways may lead to the Jurassic Park principle, “Life will find a way”.

The formation of nuclei provide critical bottlenecks that govern the evolution of the universe and thus there appears to be great sensitivity to the underlying physics. [Anthropic principle?]– This has been used to search for time dependence of fundamental

dimensionless constants • Big Bang Nucleosynthesis: Δ(mq/ΛQCD)/ (mq/ΛQCD) ~ 10-3

• Oklo reactor: Δ(mq/ΛQCD)/ (mq/ΛQCD) ~ 10-9

Page 6: Paths in Nuclear Structure - Laboratory for Nuclear Science · reproduce nuclear structure Theory vs Experiment: Now Theory sometimes wins An experimental report of a bound tetra-neutron

6

Nuclear structure as Herman Feshbach taught us

J=0 nn, np, pp

J= max np only

2+

0+eeffective ~ 1.5

0+2+4+

6+

8+

8+

Rotational Band: E∝J(J+1)10+

10+

Break a J=0 pair

Strong E2 transitionswith quadrupole deformation

Shell Structure determined by mean field

Pairing- superfluidity

Volume and Surface Vibrations –plasma oscillations, giant resonances

Macroscopic Deformation and Spontaneous Symmetry breaking

Clusters – particularly α... )](1[ 200 θβYRR +=

Classical liquid drop behavior - fission

Page 7: Paths in Nuclear Structure - Laboratory for Nuclear Science · reproduce nuclear structure Theory vs Experiment: Now Theory sometimes wins An experimental report of a bound tetra-neutron

7

Why is the Time Right for Major Progress in Nuclear Structure?

• Experimental progress at JLab, MIT Bates and elsewhere to investigate QCD substructure validate hadron-based models of the nucleus.

• Effective field theories are making real progress on the interactions among nucleons.

• Progress in nuclear theory and simulation has made it clear that the solution to many long-standing issues in nuclear structure lies in the many-body physics and focused the physics questions. We know what we need to do to answer these questions.

• Astronomy and Astrophysics communities are investing heavily in new generations of observatories. Interpreting the results of these instruments requires new nuclear physics understanding.

• The progress in accelerator and target technology and experimental technique makes a bold leap forward possible.

Page 8: Paths in Nuclear Structure - Laboratory for Nuclear Science · reproduce nuclear structure Theory vs Experiment: Now Theory sometimes wins An experimental report of a bound tetra-neutron

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The N-N interaction is strong and complicated

Very strong at short range

Complicated operator structure – 18 operators in modern forces. – spin dependent– tensor forces couple differ orbital angular momentum states– spin-orbit dependence couples orbital and spin angular momentum

Tools– Lattice – considerable ways to go– Effective field theories

• tells us what components are important• made difficult by low energy bound states

– Models• Unit χ2 fits to large body of N-N scattering data

Modern lattice QCD resultS.R. Beane et al, PRL 97 (2006)

Page 9: Paths in Nuclear Structure - Laboratory for Nuclear Science · reproduce nuclear structure Theory vs Experiment: Now Theory sometimes wins An experimental report of a bound tetra-neutron

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Does the QCD structure lead to modifications in the nucleus: Tensor Polarization in electron-deuteron elastic scattering

PreliminaryBLASTdata

Two decades of searching for changes in baryon structure at normal nuclear matter densities have produced only limited possible signals: EMC effect

This polarization observable allows the separation of L=0 and L=2 components of the deuteron wave function.

PQCD predicts –(2)1/2 at asymptotic Q2.

Page 10: Paths in Nuclear Structure - Laboratory for Nuclear Science · reproduce nuclear structure Theory vs Experiment: Now Theory sometimes wins An experimental report of a bound tetra-neutron

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Ab initio Calculations: a major step forward in the many-body physics

The nuclei for which we can do the many-body physics accurately are well described by interactions of nucleons with potentials : Green’s function Monte Carlo, no-core shell model, coupled cluster.

This requires accurate N-N potentials

3 – body NNN interaction

Macroscopic featureslike the mean field spin-orbit potential are sensitive to 3-body forces

The major uncertainty is in the isospin dependence of the 3-body interaction. No 3 identical nucleon scattering data

Page 11: Paths in Nuclear Structure - Laboratory for Nuclear Science · reproduce nuclear structure Theory vs Experiment: Now Theory sometimes wins An experimental report of a bound tetra-neutron

11

You need the full complexity of the N-N interaction to reproduce nuclear structure

Theory vs Experiment: Now Theory sometimes wins

An experimental report of a bound tetra-neutron state

S. Pieper PRL 90, 252601 (2003) A bound tetraneutron is incompatible with our understanding of nuclear forces.

Must include spin-orbit, tensor and spin-spin forces to account for critical features of nuclear structure.

Page 12: Paths in Nuclear Structure - Laboratory for Nuclear Science · reproduce nuclear structure Theory vs Experiment: Now Theory sometimes wins An experimental report of a bound tetra-neutron

12

2.12.01.91.81.7

Point-Proton Radius of 6He (fm)

Tanihata et al 92

Alkhazov et al 97

Csoto 93

Funada et al 94

Varga et al 94

Wurzer et al 97

Esbensen et al 97

Pieper&Wiringa 01 (AV18 + IL2)

This work 04

Navratil et al 01

(AV18 + UIX)

(AV18)

It’s far more than spectra

Reaction collision

Elastic collision

Atomic isotope shift

Cluster models

No-core shell model

Quantum Monte CarloEx

perim

ents

Theo

ries

Wang et al. atom trap measurementWith bare currents and understood meson exchange effects

•β-decay and transition rates

• Spectroscopic factors

• Nolen-Schiffer anomaly

• Cluster phenomena

• Charge radii

t1/2=807ms

Page 13: Paths in Nuclear Structure - Laboratory for Nuclear Science · reproduce nuclear structure Theory vs Experiment: Now Theory sometimes wins An experimental report of a bound tetra-neutron

13

How about big nuclei?Ab initio techniques realizable now for A<16 Even for heavy nuclei, ½ the particles are in regions of density less than 90% of central density.

Major themes– interplay of single particle and collective degrees of freedom

• Example – super-heavy nuclei– The nuclear surface as a dynamical entity.

• Example – nuclear phase transitions

)(rρ

∫∞

r

drrr )(2ρ

Page 14: Paths in Nuclear Structure - Laboratory for Nuclear Science · reproduce nuclear structure Theory vs Experiment: Now Theory sometimes wins An experimental report of a bound tetra-neutron

14

Path to a universal nuclear energy density functional

Plan for a major SciDACinitiative led by George Bertsch involving 14 institutions

A key is the ab initio calculations can provide a benchmark for evaluating the success of approximation schemes needed for heavier nuclei –already used for neutron matter research

Page 15: Paths in Nuclear Structure - Laboratory for Nuclear Science · reproduce nuclear structure Theory vs Experiment: Now Theory sometimes wins An experimental report of a bound tetra-neutron

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Fission barrier from shell energy

shell-correction energy lowers the ground state, thereby creating a barrier against fission.

Stable superheavy nuclei: delicate balance between nuclear attraction and Coulomb repulsion

Only three “stable”:232Th (Z=90), 235,238U (Z=92)No stable nuclei with Z=84-89 and Z>92High Z Large Coulomb repulsion spontaneous fission

Page 16: Paths in Nuclear Structure - Laboratory for Nuclear Science · reproduce nuclear structure Theory vs Experiment: Now Theory sometimes wins An experimental report of a bound tetra-neutron

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neutron number

111

112

113

114

117

115

118

116

160 162

164 166 168 170 172 174

176 178 180 182 184

152 158156154

Mt 266

Db 262 Db 263

Sg 266

Db 258Db 256 Db 260Db 257

Rf 260 Rf 261 Rf 262 Rf 263Rf 259Rf 256Rf 255 Rf 258

Bh 261 Bh 262

Rf 257

Db 261

Sg 260 Sg 261 Sg 263Sg 259

Bh 264

Bh

Hs

Ds

Sg 258

Lr 259

No 258

Lr 260

No 259

Lr 261 Lr 262

No 262No 260

Lr 258

No 257

Lr 255

No 254

Lr 254

No 253

Lr 257

No 256

Lr 256

No 255

Md 257

Fm 256

Md 258

Fm 257

Md 259 Md 260

Fm 258 Fm 259

Md 256

Fm 255

Md 253

Fm 252

Md 252

Fm 251

Md 255

Fm 254

Md 254

Fm 253

Es 255 Es 256Es 254Es 251Es 250 Es 253Es 252

Cf 255 Cf 256Cf 253Cf 250Cf 249 Cf 251 Cf 252 Cf 254

110/273110/271

111/272

CHART OF THE NUCLIDES

No

Md

Fm

Es

Cf

prot

on n

umbe

r

150

Db

Rf

Lr

No

Md

Fm

Es

Cf

Z = 114

108Hs 267Hs 265Hs 264

a

a

a

a

a

a

110/270

Hs 266

Sg 262

112/285

9.1539 s

Z/A

T1/2

E (MeV)α

110/269

Mt 268

α

EC

β-

SF

112/277

110/267

MtHs 269 Hs 270

Sg 265

Sg

a

aa

a

a

a

a

a

a

a

a

a

a

a

a a

a

aa

aa

108/275

110/279

106/271

112/284112/282

114/286 114/287

10.01

114/288

9.95

116/290

115/288115/287

113/284113/283

111/280

109/276

107/272

111/279

109/2 57

116/291

10.85 10.74

112/285

110/281

114/289

9.82

9.169.54

9.30

8.53

10.00

10.4610.59

10.12

9.75

9.71

9.02

10.37

10.33

105/268

15 ms

32 ms 87 m s

6.3 m s

0.1 s

0.15 s

0.17 s

0.72 s

9.8 s

16 h

9.7 m s

0.48 s

0.1 s0.5 m s

3.6 s

0.18 s

2.4 m in

9.6 s

34 s

0.56 s 0.63 s 2.7 s0.16 s10.20

112/2834.0 s

a

116/292

10.6616 ms

107/2 17

116/29353 ms

1.8 ms118/294

11.65

105/267

1.2 h

10.53

9.70

104/268104/2672.3 h

48 238 249Ca + U.... Cf

208 50 70Pb + Ti.... Zn

from Oganessian

Limit in Z? Cold fusion with 208Pb, 209Bi targets

Hot fusion with 48Ca beams

Page 17: Paths in Nuclear Structure - Laboratory for Nuclear Science · reproduce nuclear structure Theory vs Experiment: Now Theory sometimes wins An experimental report of a bound tetra-neutron

17

α

ATLAS at Argonne National Laboratory

PPAC at the Focal plane 40x40 DSSD

gammasphereFMA

σ ~1 µbσ/σfission ~ 10-6

Page 18: Paths in Nuclear Structure - Laboratory for Nuclear Science · reproduce nuclear structure Theory vs Experiment: Now Theory sometimes wins An experimental report of a bound tetra-neutron

18

Calorimetry:

Initial states for γ decay to g.s.

Picket fence structure ofγ-ray spectrum is characteristic of a rotational band:

IJE 32 +

=Δ γ

Page 19: Paths in Nuclear Structure - Laboratory for Nuclear Science · reproduce nuclear structure Theory vs Experiment: Now Theory sometimes wins An experimental report of a bound tetra-neutron

19

Predicted magic gaps from different models: Macroscopic/Microscopic (MM), Skyrme (SHF) & Relativistic (RMF) mean field.

Where are the magic gaps for superheavy nuclei?

one-proton drip line

one-neutron drip line

Page 20: Paths in Nuclear Structure - Laboratory for Nuclear Science · reproduce nuclear structure Theory vs Experiment: Now Theory sometimes wins An experimental report of a bound tetra-neutron

20

Key observables for deducing decay scheme:Maximum conversion electron sum energyObserved Eγ , Iγ and coincidence relationsK X-ray intensity

Long-lived isomeric states give us important information on the shell corrections

For K, the projection of J on the symmetry axis, to remain a good quantum number, the nucleus must remain axially symmetric

Page 21: Paths in Nuclear Structure - Laboratory for Nuclear Science · reproduce nuclear structure Theory vs Experiment: Now Theory sometimes wins An experimental report of a bound tetra-neutron

21

protons neutrons

Proton f5/2 orbital from above the possible Z=114 spherical shell gap !

Deformation causes the single particle levels important for superheavy nuclei to be observable at low excitation

Page 22: Paths in Nuclear Structure - Laboratory for Nuclear Science · reproduce nuclear structure Theory vs Experiment: Now Theory sometimes wins An experimental report of a bound tetra-neutron

22

neutron number

111

112

113

114

117

115

118

116

160 162

164 166 168 170 172 174

176 178 180 182 184

152 158156154

Mt 266

Db 262 Db 263

Sg 266

Db 258Db 256 Db 260Db 257

Rf 260 Rf 261 Rf 262 Rf 263Rf 259Rf 256Rf 255 Rf 258

Bh 261 Bh 262

Rf 257

Db 261

Sg 260 Sg 261 Sg 263Sg 259

Bh 264

Bh

Hs

Ds

Sg 258

Lr 259

No 258

Lr 260

No 259

Lr 261 Lr 262

No 262No 260

Lr 258

No 257

Lr 255

No 254

Lr 254

No 253

Lr 257

No 256

Lr 256

No 255

Md 257

Fm 256

Md 258

Fm 257

Md 259 Md 260

Fm 258 Fm 259

Md 256

Fm 255

Md 253

Fm 252

Md 252

Fm 251

Md 255

Fm 254

Md 254

Fm 253

Es 255 Es 256Es 254Es 251Es 250 Es 253Es 252

Cf 255 Cf 256Cf 253Cf 250Cf 249 Cf 251 Cf 252 Cf 254

110/273110/271

111/272

CHART OF THE NUCLIDES

No

Md

Fm

Es

Cf

prot

on n

umbe

r

150

Db

Rf

Lr

No

Md

Fm

Es

Cf

Z = 114

108Hs 267Hs 265Hs 264

a

a

a

a

a

a

110/270

Hs 266

Sg 262

112/285

9.1539 s

Z/A

T1/2

E (MeV)α

110/269

Mt 268

α

EC

β-

SF

112/277

110/267

MtHs 269 Hs 270

Sg 265

Sg

a

aa

a

a

a

a

a

a

a

a

a

a

a

a a

a

aa

aa

108/275

110/279

106/271

112/284112/282

114/286 114/287

10.01

114/288

9.95

116/290

115/288115/287

113/284113/283

111/280

109/276

107/272

111/279

109/2 57

116/291

10.85 10.74

112/285

110/281

114/289

9.82

9.169.54

9.30

8.53

10.00

10.4610.59

10.12

9.75

9.71

9.02

10.37

10.33

105/268

15 ms

32 ms 87 m s

6.3 m s

0.1 s

0.15 s

0.17 s

0.72 s

9.8 s

16 h

9.7 m s

0.48 s

0.1 s0.5 m s

3.6 s

0.18 s

2.4 m in

9.6 s

34 s

0.56 s 0.63 s 2.7 s0.16 s10.20

112/2834.0 s

a

116/292

10.6616 ms

107/2 17

116/29353 ms

1.8 ms118/294

11.65

105/267

1.2 h

10.53

9.70

104/268104/2672.3 h

48 238 249Ca + U.... Cf

208 50 70Pb + Ti.... Zn

from Oganessian

Limit in Z? Cold fusion with 208Pb, 209Bi targets

Hot fusion with 48Ca beams

Page 23: Paths in Nuclear Structure - Laboratory for Nuclear Science · reproduce nuclear structure Theory vs Experiment: Now Theory sometimes wins An experimental report of a bound tetra-neutron

23

Nuclear Phases/Shape TransitionsAs one adds nucleons one sees dramatic transitions in the nuclear shapes.

Generalized collective models-dynamical nuclear surface

Interacting boson models provide comparable, more microscopic descriptions

)](1[ 20 θα μμ

μYRR ∑+=

Most nuclei do not exhibit the idealized symmetries but rather lie in transitional regions.

Page 24: Paths in Nuclear Structure - Laboratory for Nuclear Science · reproduce nuclear structure Theory vs Experiment: Now Theory sometimes wins An experimental report of a bound tetra-neutron

24

Iachello discusses these as Quantum phase transitions

A QPT is a phase transition in which the control parameter is not the temperature T as in thermodynamic phase transitions, but rather the coupling constant, g, appearing in the quantum HamiltonianH= (1−g)H1+gH2

Nuclei are ideal systems to study quantum phase transitions:•They are finite systems in which the number of particles can be tuned, which changes g, thus allowing a study of scaling behavior.•They display both first and second order transitions(Erhenfest classification). In addition, recently (2000), signatures of critical behavior have been suggested, called “critical symmetries”.

Page 25: Paths in Nuclear Structure - Laboratory for Nuclear Science · reproduce nuclear structure Theory vs Experiment: Now Theory sometimes wins An experimental report of a bound tetra-neutron

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Structural Evolution, Phase Transitions, and Critical Point Nuclei

Page 26: Paths in Nuclear Structure - Laboratory for Nuclear Science · reproduce nuclear structure Theory vs Experiment: Now Theory sometimes wins An experimental report of a bound tetra-neutron

26

2

21 0;ξξ ξ⎡ ⎤′

′′ + + − =⎢ ⎥⎢ ⎥⎣ ⎦

%% %v

z z

X(5)Bessel equation

( ) 0.ξ β =%w

Critical Point SymmetriesFirst Order Phase Transition – Phase Coexistence

E E

β

1 2

3

4

ββ

Energy surface changes with valence nucleon number

Iachello

2/1

49

4)1(

⎭⎬⎫

⎩⎨⎧ +

+=

LLνZeros of Bessel functions of order

Page 27: Paths in Nuclear Structure - Laboratory for Nuclear Science · reproduce nuclear structure Theory vs Experiment: Now Theory sometimes wins An experimental report of a bound tetra-neutron

27Zamfir

Theory Experiment

Page 28: Paths in Nuclear Structure - Laboratory for Nuclear Science · reproduce nuclear structure Theory vs Experiment: Now Theory sometimes wins An experimental report of a bound tetra-neutron

28

Related many-body problems

Finite Bose systems Quantum Dots

Also Efimov states, molecules, metal clusters ...

Page 29: Paths in Nuclear Structure - Laboratory for Nuclear Science · reproduce nuclear structure Theory vs Experiment: Now Theory sometimes wins An experimental report of a bound tetra-neutron

29

Why can’t we extrapolate tonew regions and phenomena?

Why does adding 1 proton to O bind 6 more

neutrons?Why is the size of 11Li

the same as 208Pb?

Calculations of nuclear matrix elements for

neutrino-less double beta-decay vary by

factors of 3-5.

one-proton drip line

one-neutron drip line

Page 30: Paths in Nuclear Structure - Laboratory for Nuclear Science · reproduce nuclear structure Theory vs Experiment: Now Theory sometimes wins An experimental report of a bound tetra-neutron

30

Basic “facts” of nuclear physics that may be wrong in neutron-rich nuclei

The radius and diffuseness of the neutron and proton distributions are similar

R=1.2 A1/3, a~ 0.55 fmThe magic numbers of the shell model are fixed. The deformations of the neutrons and protons are similar The valence quasi-particles are renormalized by about 0.6 by short-range correlations. The charge-independence of the strong interaction makes isospin a good quantum number

]/)exp[(11)(

aRrr

−+=ρ

This is only illustrative. There are a number of other mechanisms that also lead to changes in the shell structure as N/Z varies.

Page 31: Paths in Nuclear Structure - Laboratory for Nuclear Science · reproduce nuclear structure Theory vs Experiment: Now Theory sometimes wins An experimental report of a bound tetra-neutron

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Following the Single Particle Levels with Changing Neutron Number

Energy difference between particle states and hole states with changing neutron number studied with single particle transfer reactions.

Single-particle transfer reaction measurements on Sn isotopes: Schiffer et al. PRL 92, 162501 (2004)

Neutron excessE

nerg

y di

ffere

nce

(MeV

)

Page 32: Paths in Nuclear Structure - Laboratory for Nuclear Science · reproduce nuclear structure Theory vs Experiment: Now Theory sometimes wins An experimental report of a bound tetra-neutron

32

Does the impact of short-range correlations change dramatically?

ΔS = Sn-Sp for neutron knockout and

Sp-Sn for proton knockout

History1960’s: Shell Model and transfer reactions assumed pure single particle states.1970’s: electron scattering showed only 60% occupancy in valence single particle states.1980’s: Understood based on short-ranged correlations.1990’s: Short-range correlations viewed as universal, approximately nucleus independent.2000’s: In nuclei far from stability, observed large changes in correlation effects.

22O 34Ar

From Gade and Tostevin, NSCL

Page 33: Paths in Nuclear Structure - Laboratory for Nuclear Science · reproduce nuclear structure Theory vs Experiment: Now Theory sometimes wins An experimental report of a bound tetra-neutron

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Neutron SkinsClear effects in halo nuclei like 11LiPredicted large effectsaway from stabilityCritical for expectations ofnuclei and neutron stars– Equation of State– Cooling

Difficult to measure –need to calibrate hadronicprobesEagerly await JLabmeasurement in parity violating electron scattering on 208Pb –PReX

Neutron weak charge= -1/2Proton weak charge=1/2− 2 sin2ΘW = 0.038

My personal bet is these are overestimated because clustering is left out

Page 34: Paths in Nuclear Structure - Laboratory for Nuclear Science · reproduce nuclear structure Theory vs Experiment: Now Theory sometimes wins An experimental report of a bound tetra-neutron

34

Impact of Isospin Dependence of Strong Interactions

From Steiner, Prakash, Lattimer and Ellis Phys.Rept. 411 (2005) 325-375

Page 35: Paths in Nuclear Structure - Laboratory for Nuclear Science · reproduce nuclear structure Theory vs Experiment: Now Theory sometimes wins An experimental report of a bound tetra-neutron

35

Most of the energy production in the cosmos and the production ofthe chemical elements is due to nuclear reactions in stars. The Big Bang starts out forming protons and neutrons. Everythingelse results from nuclear reactions.

Carl Sagan: “We are all star dust”• Reactions during the Big Bang• Slow burning reactions in stars

4p ⇒ 4He + 2e+ + 2ν3 4He ⇒ 12C + γ79Br+n⇒γ + 80Br ⇒ 80Kr

• Fast burning reactions in nova and supernova

Neutron stars are giant drops of nuclear material weighing as much as the sun, but with a radius of 10 km.

X-rays from Crab pulsar

Low Energy Nuclear Physics is the energy source and the alchemist’s tool of element creation

Major successes

Page 36: Paths in Nuclear Structure - Laboratory for Nuclear Science · reproduce nuclear structure Theory vs Experiment: Now Theory sometimes wins An experimental report of a bound tetra-neutron

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Core Collapse Supernova

What do we knowMost of the energy of the collapse goes into neutrinos

What do we need to know?– Effects of the neutrino properties – How is the energy transferred from the neutrinos?– What are the dynamics of the explosion?– Is this the site of the r-process?– How are the elements heavier than Fe formed?

Neutrino propertiesHow do neutrinos interact with matter?– energy transfer, neutrino processing including fission

What are the properties of the very neutron-rich nuclei?What is the fission recycling by neutrons and neutrinos?

Page 37: Paths in Nuclear Structure - Laboratory for Nuclear Science · reproduce nuclear structure Theory vs Experiment: Now Theory sometimes wins An experimental report of a bound tetra-neutron

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One example: r-process element production

Page 38: Paths in Nuclear Structure - Laboratory for Nuclear Science · reproduce nuclear structure Theory vs Experiment: Now Theory sometimes wins An experimental report of a bound tetra-neutron

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Neutron Stars

What are the limits on mass and radii?Is neutron matter superfluid?Do we see transition to kaon-condensed or quark matter ?Cooling– URCA cooling in neutron matter

requires large proton fraction: Yp~.11-.15

– Color superconductorsNuclear Observables:– neutron skins– N/Z dependence of giant

resonances– nuclear equation of state studies

Astronomical observations

Recent observation of high massneutron stars2.1 ± 0.2 MNice et al. astro-ph/05080502.1 ± 0.28 M , R=13.8 ± 1.8 kmOzel, Nature 441, 04858 (2006)

Correlation between neutron skin thickness in finite nucleiand pressure of β-equilibrated matter in neutron stars

Page 39: Paths in Nuclear Structure - Laboratory for Nuclear Science · reproduce nuclear structure Theory vs Experiment: Now Theory sometimes wins An experimental report of a bound tetra-neutron

39

Constraints on neutron star equations of state

Mass-Radius constraints from observations and model predictions for the mass-radius of nucleonic stars, hybrid stars and strange quark stars. (From Jaikumar, Page and Reddy)

Page 40: Paths in Nuclear Structure - Laboratory for Nuclear Science · reproduce nuclear structure Theory vs Experiment: Now Theory sometimes wins An experimental report of a bound tetra-neutron

40

Example: Neutron StarsPasta nuclei: At near nuclear matter densities, competition between Coulomb and surface interactions lead to a complex set of nuclear shapes: rods, slabs ... “nuclear pasta”. Similar effects are observed in microemulsionsand liquid crystals. Strong effects on dynamic response, including interactions with neutrinos

Is neutron matter superfluid at high densities: The high Fermi energy and short-range repulsion reduces s-wave pairing. Is p-wave interaction sufficient? Dilute systems: |kF a| > 5 at 0.3% nuclear matter densities – related to dilute Fermi gases

Page 41: Paths in Nuclear Structure - Laboratory for Nuclear Science · reproduce nuclear structure Theory vs Experiment: Now Theory sometimes wins An experimental report of a bound tetra-neutron

41

Example: Impact of Nuclear Structure on Fundamental Interactions

Neutrino-less double beta decay– Is the neutrino its own

antiparticle?– If we observe neutrino-less

double beta decay, the limit we can set on neutrino masses will be set by how well we understand the nuclear structure

For a light Majorano neutrino

2

22

02

20

2/1

),(1

ejj

j

FA

VGTo

Umm

mMggMZEG

T

∑=

⎥⎦

⎤⎢⎣

⎡−=

ν

ννν

Current uncertainty in nuclear matrix elements is a factor of 3.

Current work focuses on identifying the other nuclear observables that place the best constraints on thestructure uncertainties.

76Ge76Se

76As

νν+e-e-νν

Page 42: Paths in Nuclear Structure - Laboratory for Nuclear Science · reproduce nuclear structure Theory vs Experiment: Now Theory sometimes wins An experimental report of a bound tetra-neutron

42

Example: Impact of Nuclear Structure on Fundamental Interactions

Enhanced Electric Dipole Moments– What causes the baryon

asymmetry in the universe?

– EDM’s in nuclei can be enhanced by factors of 100-1000 due to nuclear structure.

Need multiple measurements to separate contributions of:– lepton EDM – quark EDM– T-violation in QCD

• atoms• neutron• nuclei

225Ra experiment underway at ANL bytrapping 225Ra in MOT.

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By measurement in these unexplored regions

• We can experimentally determine the properties of the important cases to the required precision.

• We provide critical tests to guide the development of a unified model of nuclei.

• We can determine our “periodic table”.

• We can extrapolate much better to “neutron matter”.

What do we need to knowHalf of the nuclear landscape is unexplored!

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What do we need to do this? - ExperimentAccess to this broad range of new nuclei– higher beam power– new target concepts

Ability to use all the principal experimental probes of low energy physics– Reaccelerated beams

• single particle and two-particle transfer reactions for spectroscopic factors and pair correlations

• collective excitations for emergent phenomena and interplay of single particle and collective degrees of freedom

• direct measurements of reactions at the energies they take place in stellar explosions

• new pathways to super-heavy element production– Fast beams

• farthest reach to the limits of nuclear existence• nuclear equation of state in neutron-rich matter• charge-exchange measurements of beta-strength functions

Much progress can be made at the international suite of existing and planned accelerators such as RIKEN, FAIR, GANIL, ISAC

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There is the only one facility on the horizon that combines all these features: Rare Isotope Accelerator/Advanced Exotic Beam Laboratory

• Fast Gas Catcher to combine advantages of fragmentation and stopped beams

• Superconducting driver linacand post-accelerator for all ions from hydrogen to uranium.

• Acceleration of ions in multiple charge states to increase performance.

• Realizable designs for high power (>100 kW) targets.

• Efficient reacceleration of 1+ charge states.

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Simplified Schematic Layout of the Rare Isotope Accelerator (RIA) Facility

• Superconducting RF DriverLinac with 400 MeV/nucleonbeams for all stable isotopesup to uranium. 900 MeV protonbeams.

• 100-400 kW of beam power.• Collects and reaccelerates

beams of unstable nuclei.

• Concept validated. No significant technical risk.

What is the Concept?

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What are the capabilities that are optimized at RIA

Experiments with reaccelerated rare isotope beams of all elements- wide variety of nuclear structure and reaction techniquesOptimized production technique for each isotopeISOL production mechanisms for stopped and reaccelerated beams yield much higher rates for a number of elementsFactors of 10-100 higher beam intensities for most in-flight isotopes reaching further into the r-process pathHigh beam intensities at lower beam energy better suited to stop beams in gas cellFacility optimized for and dedicated to experiments with rare isotopes

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History and current situation

NSAC Long Range Plans since 1996 have made this a priority recommendation.– 2002, RIA is the highest priority for major new construction.

2003 DOE 20-year Facilities Plan:– RIA is tied for third.

Draft Request for Proposals in 2004 – ran into disastrous 2006 budget request.The Science of RIA is under evaluation by a US National Academy committee: (RIA Scientific Assessment Committee —RISAC), report due in October.

2006 actions by DOE:5-year plan: Implement a plan to remain among the leaders in nuclear structure/astrophysic– Support R&D to start construction of a U.S. exotic beam facility for about

half the cost of RIA with unique capabilities at the end of this 5-year period.

– In DOE-speak this means a decision to go ahead in ~end of 2007 and new request for proposals in 2008.

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By focusing on reaccelerated beams, an optimized half scale exotic beam facility is world class and complements international efforts

Relative yields for a 200 MeV/u Advanced Exotic Beam Facility (AEBL) vs RIA and ISAC

Better everywhere and the yellow regionsare uniquely available with AEBL

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What do we need to do this? - Theory

Advances in large scale simulations.– QCD, ab initio, DFT, molecular dynamics

Exploit systematic approach of effective field theory

Deeper understanding of the microscopic descriptions of emergentphenomena

Close contact with the astrophysics, elementary particle and condensed matter communities

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Major questions in nuclear physics

What is our periodic table?Why do nuclei show such amazing regularities?What are the properties of neutrinos?What forces seem to have disappeared from view?How do hadrons and nuclei emerge from QCD?What are the properties of hot and dense hadronicmatter?How did the properties of quark and hadronic matter affect the evolution of the universe?– How do massive stars explode?– What is the origin of the elements more massive

than Fe.

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This is not your father’s nuclear structure

There is a unfortunate tendency in science to believe that a problem that has been unsolved for some time is no longer interesting. The fruit of nuclear structure remains quite sweet.

Aesop’s the Fox and the Grapes

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Extra Material

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RIA Isotope Yields

See www.phy.anl.gov for predicted yield of every isotope

These are available as isotopically pure beams.

These are typically available as fast, mixed beams.

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RIA yields relative to GSI for in-flight beamsSimulations done using LISE++ and beam/separator parameters appropriate for each facilityIncludes beam energies and intensities, secondaries and target attenuation, charge-state losses, and attenuation in 2 wedges

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Production Mechanisms

Reaction mechanism for highest yieldof reaccelerated beams for each

selected isotope.

Fragmentation + gas cell

ISOL

In-flight fission + gas cell

In-flight fission + gas cell

Two-step fission

The science requires that ALL production mechanisms be available