nuclear isomerism: probes of nuclear structure

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Nuclear Isomerism : Probes of Nuclear Structure and Tools for the Future Jennifer Jo Ressler Wright Nuclear Structure Laboratory Yale University

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Page 1: Nuclear Isomerism: Probes of Nuclear Structure

Nuclear Isomerism:Probes of Nuclear StructureandTools for the Future

Jennifer Jo ResslerWright Nuclear Structure Laboratory

Yale University

Page 2: Nuclear Isomerism: Probes of Nuclear Structure

What is nuclear structure?

Nuclear structure is the study of nuclear excited states.

The pattern of excited states gives information on thenucleon-nucleon interaction, which we don’t understand.

atomic structure: study of atomic states created by electronic excitationsnuclear structure: study of nuclear states created by proton

and/or neutron excitations

Page 3: Nuclear Isomerism: Probes of Nuclear Structure

atomic – nuclear comparisonAtomic

Can be described by a shell model, where electrons fill quantized energy levels.

Can be described by a shell model, where protons and neutrons separately fill quantized energy levels.

Nuclear

n, , m, s parity (-1) n, , m, s parity (-1)

Lowest energy levels have maximum S possible (due to Coulomb) with J = L + S = Σi + Σsi or J = Σji = Σ (i + si)

Lowest energy levels have minimum S possible due to strong force pairing with J = Σji = Σ (i + si)

Energy levels can be calculated by solving theSchrödinger equation using a central potentialdominated by the nuclear Coulomb field.

Energy levels are not easily calculated;nucleons move and interact within aself-created potential.

Spin-orbit coupling is weak Spin-orbit coupling is strongFor 3 electrons in a d orbital:

d3/2

d5/2

For 3 nucleons in a d orbital:

Page 4: Nuclear Isomerism: Probes of Nuclear Structure

Why is the nucleon-nucleon interaction so hard to understand?

Nucleon forces do not vary with distance in a way that can be conveniently described by mathematical formulas!

Even if we could, each nucleon interacts with a few ofit’s neighbors with approximately equal forces –

many body problem

For electrons, consider each electron’s interaction withthe nucleus, then add other electrons as perturbations –

2-body problem

Page 5: Nuclear Isomerism: Probes of Nuclear Structure

From the Periodic Chart to the Chart of Nuclides

AtPoBiPbTl

e−

Z

N

2, 8, 20,28, 50,82, 126, …

Magic numbers:

Page 6: Nuclear Isomerism: Probes of Nuclear Structure
Page 7: Nuclear Isomerism: Probes of Nuclear Structure

• Fundamental knowledge of the strong force• Formalisms of quantum mechanics (many body system)• Computational modeling and mathematics• Astrophysics• Nuclear medicine• Material science• Defense weapons (simulations)• Etc. (art, forensics, geology, … )

What use is nuclear structure?

Page 8: Nuclear Isomerism: Probes of Nuclear Structure

Nuclear structure in a nut shell

• The nucleus is a bound system of protons and neutrons.• The nucleus exhibits different shapes and excitations.• Properties are understood on the basis of

single particle and collective motion.• Gamma-rays from the decay of an excited nucleus give information about the arrangement of quantum levels in a nuclear potential well, and the shape of the potential.• The arrangement of excited levels and shape delicately depend

on the nucleon number and angular momentum.

Page 9: Nuclear Isomerism: Probes of Nuclear Structure

Gamma rays and energy levels

AZ N

X

Ji

Jf

Gamma ray: pure electromagnetic radiationchange in charge distribution: electric momentschange in current: magnetic moments

Emission of a gamma-ray removes Energy Angular momentum, L

one unit L = 1, dipole M1, E1two units L = 2, quadrupole M2, E2

parity: electric (-1)L magnetic (-1)L+1

Selection rule:

|Ji - Jf| ≤ L ≤ |Ji + Jf|

and 0 → 0 transitions are forbidden

only the lowest multipolarities are probable

coincidence

Page 10: Nuclear Isomerism: Probes of Nuclear Structure

What is an isomer?

nuclear isomer: an excited state that does not decay within ~ps

isomers occur for:• large changes in nuclear spin (>2)

M2, M3, E4 …• small changes in energy• large changes in structure

Isomers decay by electron conversion, gamma emission, particle emission (p, α, β+, β-)

Page 11: Nuclear Isomerism: Probes of Nuclear Structure

Near closed shells

“spherical structure” : potential is spherically symmetric

ΣH = T + V ( r )i i

A

i = 1

H = EΨ Ψi i i

each nucleon moves in an approximately spherical containing potential which represents the average interaction of each nucleon with all other nucleons

(near magic numbers)2, 8, 20,28, 50,82, 126, …

Page 12: Nuclear Isomerism: Probes of Nuclear Structure

SphericalShell Model

(3p1/2)

(2f5/2)(3p3/2)

1i13/2

1h9/2

2f7/2

126

82

3p1/2

2f5/23p3/2

1i13/2

1h9/22f7/2

126

82π ν

114

210Ra

Page 13: Nuclear Isomerism: Probes of Nuclear Structure

Spherical Shell Model

Spin-orbit splitting brings down high-j states close to low-j states –large change in spin => isomers

These isomers are evidence for the shell structure of nuclei.

2p3/21f5/22p1/2

1g9/22d5/21g7/23s1/22d3/21h11/22f7/21h9/21i13/23p3/22f5/23p1/2126

82

50

28

In 82 < N < 126 shell,

odd isotopes;

M213/2+ i13/2

9/2- h9/2

Page 14: Nuclear Isomerism: Probes of Nuclear Structure

Spherical Shell Model

Coupling between nucleons may also create isomers:

h9/22

0+

2+

4+

6+8+

small change in energy => isomers

h9/2 ⊗ f7/2

h9/2 ⊗ i13/211-

8+

E2

E2

E2 E3

different structure => isomers

Page 15: Nuclear Isomerism: Probes of Nuclear Structure

Non-spherical nuclei“deformed structure”: spherical symmetry is lostto a first approximation, potential is axially symmetric

β2 : measure of extent of deformationspherical β2 = 0large deformation β2 ~ 0.3 – 0.4

oblate (β2 < 0) spherical (β2 = 0) prolate (β2 > 0)

If β2 ~ ± 0.1, Spherical Shell Model states are still observed.

Deformed structures dominate when there are many valence nucleons – i.e. proton AND neutron numbers far from magic

Page 16: Nuclear Isomerism: Probes of Nuclear Structure

Excited energy levels

even-even Pb isotopes

010002000300040005000

110 115 120 125 130 135

N

En

erg

y, k

eV

0+

2+

even-even Rn isotopes

0

500

1000

1500

110 115 120 125 130

N

En

erg

y, k

eV

0+

2+

“Spherical” nuclei:

First 2+ state in N=Z Nuclei

020040060080010001200

28 30 32 34 36 38 40 42 44 46

Z

En

erg

y, k

eV

2+

“Deformed” nuclei:

Page 17: Nuclear Isomerism: Probes of Nuclear Structure

208Pb region

Ra

Rn

Po

Pb

Hg

210Ra

Pt

88

86

84

82

80

78126124122120118

211Ra209Ra

203Rn202Rn201Rn

116

Th90 212Th

208Ra

Page 18: Nuclear Isomerism: Probes of Nuclear Structure

Z ~ 82, N ~126Near N = 126, Pt (Z=78) and Hg (Z=80) are nearly spherical – but at lower neutron numbers a deformed structureco-exists with the spherical.

-500

0

500

1000

1500

2000

2500

95 100 105 110 115 120

Pt experimental data0+2+4+6+8+0+2+4+6+8+

Ener

gy, k

eV

N

0

500

1000

1500

2000

2500

3000

90 95 100 105 110 115 120 125 130

Hg experimental data 0+2+4+6+8+0+2+4+6+8+

Ener

gy, k

eV

N

Page 19: Nuclear Isomerism: Probes of Nuclear Structure

-0.3

-0.2

-0.1

0

0.1

0.2

0.3

0.4

90 95 100 105 110 115 120 125

PtHgPbPoRnRa

β 2

N

Moller Nix Swiatecki FRDM

Page 20: Nuclear Isomerism: Probes of Nuclear Structure

Z>820

500

1000

1500

2000

105 110 115 120 125 130

Po experimental data 0+0+2+2+4+4+6+8+

En

erg

y,

ke

V

N

0

500

1000

1500

2000

2500

110 115 120 125 130

Rn experimental data0+2+4+4+6+6+8+8+

Ene

rgy,

ke

VN

0

500

1000

1500

2000

110 115 120 125 130

Ra experimental data0+2+4+6+8+

Em

erg

y,

ke

V

N

0

100

200

300

400

500

600

700

800

100 105 110 115 120 125 130

Calculated and Experimental E(2+)

Po (calc)Po (exp)Rn (calc)Rn (exp)Ra (calc)Ra (exp)

Exc

itatio

n E

nerg

y, k

eV

N

Page 21: Nuclear Isomerism: Probes of Nuclear Structure

particle emission

entry region

continuum statistical gamma rays

yrast line

Angular Momentum, I

Exc

itatio

n E

nerg

y

+

projectile target

compound nucleus

compound nucleus

Heavy-ion fusion evaporation reaction:π , ν , α

(3- 6 MeV/A)

How are nuclei produced?

• fusion evaporation reactions• deep inelastic reactions• fission fragments• projectile fragmentation

Page 22: Nuclear Isomerism: Probes of Nuclear Structure

How do we measure γ-rays?Ge semiconductor

- when a γ-ray enters the detector, it disturbs the e- in the Ge crystal and the resulting pulse of charge is proportional to the initial energy of the gamma ray.

Germanium arrays: Gammasphere (LBNL) CLARION (ORNL) YRAST-Ball (WNSL)

Page 23: Nuclear Isomerism: Probes of Nuclear Structure

YRAST-Ball Up to 13 clover detectors

9 at 90o

4 at 138.5o

2-4 LEPS Currently: 9 clovers and 2 LEPS … ε ≈

2.7%

ε ≈ 3.9%

YRAST-Ball: Yale-Rochester Arrayfor SpecTroscopy

Page 24: Nuclear Isomerism: Probes of Nuclear Structure

SASSYER

M1QM2

beam dump

target area

carbon window

beam direction0

2 106

4 106

6 106

8 106

1 107

1.2 107

0

1000

2000

3000

4000

5000

6000

0 200 400 600 800 1000

background and contamination Rn x-rays 203Rn 202Rn

1x107

6x106

2x106

5x103

3x103

1x103

200 400 600 800 10000

0

2 1054 1056 10

58 10

51 106

1.2 106

400 450 500 550 600

4x105

8x105

1.2x106

400 500 600

a)

b)Cou

nts/

keV

Energy, keV

X

X

X

Small Angle Separator at Yale for Evaporation Residues

Page 25: Nuclear Isomerism: Probes of Nuclear Structure

Target area detectors:• YRAST Ball•NYPD• Rutherford detectors• BGO calorimeter• ICEY Ball

Wright Nuclear Structure Laboratory, Yale University

Focal plane detector systems:• Solar cell array • Ge detectors … isomer array• Position sensitive PPAC’s• Silicon-strip detector• MTC, β-decay tagging system• CdZnTe array

Page 26: Nuclear Isomerism: Probes of Nuclear Structure

SASSYER

delayed γ-rays

τ

prompt γ-rays

Dual study: prompt and delayed

Isomer Decay Tagging

Recoil TOF ~ 800 ns

30Si (148 MeV) + 184W → 210Ra + 4n

Page 27: Nuclear Isomerism: Probes of Nuclear Structure

Prompt γ-ray spectra

0

2000

4000

6000

8000

1 104

1.2 104

1.4 104

0 200 400 600 800 1000

Cou

nts/

keV

Energy , keV

0

1000

2000

3000

4000

5000

200 300 400 500 600 700 800 900

Cou

nts/

keV

Energy , keV

209,210,211Ra

Ra x-rays

Page 28: Nuclear Isomerism: Probes of Nuclear Structure

Delayed γ-ray spectra

210Ra

210Ra0+

4+4+

6+8+t1/2 = 1.7(2) µs

0

50

100

150

200

250

300

350

400

0 200 400 600 800 1000

Cou

nts/

keV

Energy, keV

2+

750

600

603

773

577

0

50

100

150

200

560 580 600 620 640Energy, keV

Cou

nts

/0.5

keV

10coun

ts

54321time (µs)

1.7(2) µs

Page 29: Nuclear Isomerism: Probes of Nuclear Structure

Correlated spectra

0

50

100

150

200

250

320 400 480 560 640 720 800 880

Cou

nts/

keV

Energy, keV

210Ra0+

4+4+

6+8+ t1/2

2+

750

600

603

773

5770

20

40

60

80

100

120

100 200 300 400 500 600 700 800

Cou

nts/

keV

Energy, keV

Ra x-rays

10+

11-1112-

12,13

518232 307

218635

688

tentative!

Page 30: Nuclear Isomerism: Probes of Nuclear Structure

4+ feeding

50

60

70

80

90

100

200 400 600 800

Cou

nts

Energy, keV

210Ra0+

4+4+

6+8+t1/2 = 1.7(2) µs

2+

750

600

603

773

577

prompt γ-ray spectrum

Page 31: Nuclear Isomerism: Probes of Nuclear Structure

Comparisons to isotones

Ener

gy, M

eV

1.0

2.0

3.0

0.0 0+ 0+ 0+

2+2+2+

2+4+ 4+

4+

4+4+4+

6+8+ 6+

8+ 6+8+

10+

11-

10+

11-

10+

11-

206Po 208Rn 210Ra

473 ns1.7 µs

212 ns

πh9/22

Page 32: Nuclear Isomerism: Probes of Nuclear Structure

Comparisons to isotopes

0+

2+4+6+8+8+

11-10+

12+14+

17+

12+

0+

2+

4+

6+8+8+10+11-

1213-

16+

0+

2+

4+4+

6+8+10+1111-12-12,13

0

1.0

2.0

3.0

4.0

Ener

gy, M

eV

210Ra 212Ra 214Ra

67 µs11 µs1.7 µs

333 ns

285 ns

230 ns

850 ns

6 protons above Z=82;h9/2

6 h9/22 0+, … 8+

2+(h9/22) 10+, ..

h9/2f7/2 8+

h9/2i13/2 11-

Page 33: Nuclear Isomerism: Probes of Nuclear Structure

8+ isomer half-life

1.7 µs

473 ns

212 ns

10.9 µs 67 µs

126124122

88

86

84

210Ra 212Ra 214Ra

208Rn

206Po

↑ t1/2 increases

← t1/2 decreasesMore neutron degreesof freedom – lowspin states are not‘pure’ πh9/2

2

More proton degreesof freedom – 8+ ofπh9/2

2 mixes withπh9/2 x πff/2

(3p1/2)(2f5/2)(3p3/2)1i13/2

1h9/2

2f7/2

126

82

3p1/2

2f5/23p3/2

1i13/2

1h9/22f7/2

126

82π ν

114

644 ns 910 ns

210Rn 212Rn

350 ns 99 ns

208Po 210Po

Page 34: Nuclear Isomerism: Probes of Nuclear Structure

Are there other isomers?

Probably.206Po : 9- (νi13/2 x νf5/2) 1.0 µs

10+

9-

8+

(3p1/2)

(2f5/2)(3p3/2)

1i13/2

1h9/2

2f7/2

126

82

3p1/2

2f5/23p3/2

1i13/2

1h9/22f7/2

126

82π ν

114

πh9/22

isomers in Po and Rn11- (πh9/2 x πi13/2)

Page 35: Nuclear Isomerism: Probes of Nuclear Structure

Neutron-rich nuclei

N

Z

N=Z

large neutron excess – magic numbers no longer magic!

New shell structure –what are the new magic numbers?

Radioactive Ion Beams – (RIA?)

Isomers are excellent probes!

Page 36: Nuclear Isomerism: Probes of Nuclear Structure

Far from closed shells

I

J

R

j

s

Λsymmetry axis

Rotational bands: E α I(I+1)

I = K

I + 2

I + 4

I + 6

I + 8I + 9

I + 7

I + 5

I + 3

I + 1

M1’s

E2’s

Band comprised of two signature partners for even-A (even Z-even N or odd Z-odd N nuclei) favored I = 0, 2, 4, 6 ... unfavored I = 1, 3, 5, 7 ... for odd-A (even Z-odd N or odd Z-even N nuclei) favored I = 1/2, 5/2, 9/2, 13/2 ... unfavored I = 3/2, 7/2, 11/2, 15/2 ...

collective motion =>

I = J + R

rotational bands

E =(1/2I)[ I(I+1) – K2]

Page 37: Nuclear Isomerism: Probes of Nuclear Structure

Nilsson model

Oblate β2 < 0

Spherical β2 = 0

Prolate β2 > 0

g9/2

9/2

7/2

5/2

3/2

1/2

1/2

3/2

5/2

7/2

9/2

[404]

[413]

[422]

[431]

[440]

[N nz Λ ]ž ž

50

28

40

g9/2

d5/2

p1/2

f5/2

p3/2

f7/2

38

3434

36

[303]7/2

[312]5/2

[321]3/2

[321]1/2[310]1/2

[312]3/2[440]1/2

[431]3/2

[422]5/2

[404]9/2

[413]7/2

[301]3/2[303]5

/2[301]1/2

-0.3 -0.2 -0.1 0.0 +0.1 +0.2 +0.3 +0.4

β2

Rel

ativ

e E

nerg

y

[431]1/2

Nilsson diagram:

ΩΩ

K = Ω1 + Ω2 …

Page 38: Nuclear Isomerism: Probes of Nuclear Structure

Deformed odd-massA~80 nuclei dominatedby [422]5/2+ and [301]3/2-

configurations:

Z = 39 N = 3979Y 5/2+ 77Sr 5/2+

81Y 5/2+, 3/2- 113 keV

Z = 41 N = 4183Nb 5/2+ 81Zr 3/2-, 5/2+ X keV

79Sr 3/2-, 5/2+ 177 keV

β2 prolate deformation

[404]9/2

[301]3/2

[422]5/2

[440]1/2

[431]3/2

[431]1/2

[413]7/2

0.0 0.1 0.2 0.3 0.4 0.5 0.6

Rel

ativ

e E

nerg

y (M

eV)

0.0

2.0

4.0

6.0

40

38

50

28

[312]3/2

[303]7/2[310]1/2

[303]5/2[301]1/2

[550]1/2g

9/2

p1/2

f5/2

p1/2

Nilsson diagram for A- 80 :

80Y:Z = 39, N = 41

Page 39: Nuclear Isomerism: Probes of Nuclear Structure

What happens if we combine a deformed odd-proton and odd-neutron?

Gallagher-Moszkowski rules:K = Ωp + Ωn if Ωp = Λp ± ½ and Ωn = Λn ± ½K = |Ωp - Ωn| if Ωp = Λp ± ½ and Ωn = Λn ± ½

±

For π[422]5/2+ ⊗ ν[301]3/2- expect 4- ground state, 1- excited state

4-

1- K = 1

K = 4

Page 40: Nuclear Isomerism: Probes of Nuclear Structure

80Y rotational bands

D. Bucurescu et al., Z. Phys. A 352, 361 (1995).

Page 41: Nuclear Isomerism: Probes of Nuclear Structure

80Y isomers

4.7 s isomer19% beta decay81% gamma decay (229 keV)suggested to be M31- 4- decay to ground state

M3 nature confirmed

4.7 µs isomergamma decay (83 keV)suggested to be E1

π [422]5/2+ ⊗ ν [301]3/2 -

4-

1-

J. Döring, H. Schatz, A. Aprahamian et al., PRC 57, 1159 (1998).

A. Piechaczek, E. F. Zganjar et al., PRC 61, 047306 (2000).

C. Chandler, P. H. Regan et al., PRC 61, 044309 (2000).

Page 42: Nuclear Isomerism: Probes of Nuclear Structure

80Zr beta decay

Beta decay: Gamow-Teller

3+

4-83 keVE14.7 µs 2+

1-83 keVE14.7 µs

80Zr 0+

β+/EC

E2

1+

80Zr 0+

β+/EC

M1

1+

Either scenario feeds the µs isomer…

Page 43: Nuclear Isomerism: Probes of Nuclear Structure

rp-process nucleosynthesis

Ge

As

Se

Br

Kr

Rb

Sr

Y

ZrNb

Mo

Tc

Ag

32 34 36 38 40 42 44

46

48 50

52 54

Ru

Rh

Pd

Cd

In

Sn

30

H. Schatz et al., Phys. Rep. 294, 167 (1998).X-ray burst > 10% reaction flow

P

P P

P

P

P

P

Page 44: Nuclear Isomerism: Probes of Nuclear Structure

Neutron Star

Donor Star(“normal” star)

Accretion Disk

The ModelNeutron stars:1.4 Mo, 10 km radius(average density: ~ 1014 g/cm3)

Typical systems:• accretion rate 10-8/10-10 Mo/yr (0.5-50 kg/s/cm2)• orbital periods 0.01-100 days• orbital separations 0.001-1 AU’s

X-ray burst From H. Schatz, MSU

Page 45: Nuclear Isomerism: Probes of Nuclear Structure

Astrophysical implications of 80Zr t1/2

S

Nb

Zr

Y

Sr

Rb

Kr

X

40 41 42 43 44

6.85 s

X-ray burst coolswhile 80Zr decays;proton capture on80Y becomes moredifficult.

Page 46: Nuclear Isomerism: Probes of Nuclear Structure

80Zr set-up

RMS

MTC195 MeV 58Ni on 500 µg/cm2 24Mg

Oak Ridge National Laboratory

0+80Zr

83 keV

β+/EC

4.7 µs1+

80Y

Page 47: Nuclear Isomerism: Probes of Nuclear Structure

RMS: Recoil Mass Spectrometer

Oak Ridge National Laboratory, Holifield Heavy Ion Research Facility

Recoil Mass Spectrometer

Momentum Separator (P/Q)

Mass Separator (A/Q)

Fo

ca

l Pla

ne

Q1

Q2

D1

S1

Q3

S2

D2

Q4Q5

ED1

D3

ED2Q6 Q7

“M/Q separator” or“mass separator”

Page 48: Nuclear Isomerism: Probes of Nuclear Structure

10

0 5 10 15 20

Zr

deca

ys/ 0

.5 s

Time (s)

5

80Zr half-life

TAC:Start: scintillator (β)Stop: LOAX (low energy γ)

80Zr t1/2: 4.1(8) s

J. J. Ressler, W. B. Walters, M. Wiescher, A. Aprahamian, et al. Phys. Rev. Lett. 84, 2104 (00).

80Zr

83 keV

β+/EC

4.7 µs1+

80Y

Page 49: Nuclear Isomerism: Probes of Nuclear Structure

Astrophysical implications of 80Zr t1/2

S

Nb

Zr

Y

Sr

Rb

Kr

X

40 41 42 43 44

4.1 s

X-ray burst remains warmwhile 80Zr decays; protoncapture on 80Y becomespossible.

Does 1- beta decaying isomer play a role?

Page 50: Nuclear Isomerism: Probes of Nuclear Structure

IDT experiment set-up

85 MeV 28Si on 300 µg/cm2 54FeOak Ridge National Laboratory

RMS

delayed γ-rayprompt γ-rays

Isomer Decay Tagging83 keV

Recoil TOF ~ 3.5 µs

t1/2 = 4.7 µs

Page 51: Nuclear Isomerism: Probes of Nuclear Structure

CLARION: Clover Array for Radioactive ION beams

11 clovers :~ 2.5% efficiency for 1.3 MeV γ-rays

5 at 90o

4 at 132o

2 at 155o

Page 52: Nuclear Isomerism: Probes of Nuclear Structure

IDT results0

5000

1 104

1.5 104

0 50 100 150 200 250 300 350

0

50

100

150

200

250

0 50 100 150 200 250 300 350

-10

0

10

20

30

40

50

60

70

0 50 100 150 200 250 300 350

80Y (pn)

80Sr (2p)

79Sr (2pn)

79Rb (3p)

Energy, keV

Co

un

ts

3 x 104

0 1000

0 1000

0 1000

500

50

25

1000

6 x 1041.5 x 104

1.0 x 104

a)

b)

c)143

193

289

238

299334

2500

2000

1500

1000

500

0500

400

300

200

100

0

2500

2000

1000

100 200 300 400 500

1500

500

Cou

nts

Energy, keV

83; 80Y

511; γ−γ

175; 80Rb

78; 80Rb

J. J. Ressler et al., PRC 63, 067303 (01).

Page 53: Nuclear Isomerism: Probes of Nuclear Structure

338

538

731

951

1004

814

624

431

853

590

289

527

43

6

143193

238300

324

407

407

544

2

1030

778

314

83 keV

40

20

0

500 1000

Cou

nts

Energy, keV

143

193

238

289 300314

324

338 431 527538 589 624 814

9511004 1030

778

E* = 312 keV

Page 54: Nuclear Isomerism: Probes of Nuclear Structure

But why is this state isomeric?

2+

1-83 keVE14.7 µs

4-M3 229 keV

4.7 s

143

193

238

299

324 731

537

336

431

623

(4+)

(6+)

(5+)

(3+)

(7+)

Page 55: Nuclear Isomerism: Probes of Nuclear Structure

β2 prolate deformation

[404]9/2

[301]3/2

[422]5/2

[440]1/2

[431]3/2

[431]1/2

[413]7/2

0.0 0.1 0.2 0.3 0.4 0.5 0.6

Rel

ativ

e E

nerg

y (M

eV)

0.0

2.0

4.0

6.0

40

38

50

28

[312]3/2

[303]7/2[310]1/2

[303]5/2[301]1/2

[550]1/2g

9/2

p1/2

f5/2

p1/2

Nilsson diagram for A­ 80 :

2+:π [422]5/2+ ⊗ ν [431]1/2+

Compare with N=4179Sr ½+ band : similar moment of inertia – very deformed

=> 2+ state may be a shape isomer

1- is not ‘pure’ : [413]7/2+ ⊗ [303]5/2-, [422]5/2+ ⊗ [312]3/2-, [431]3/2+ ⊗ [301]3/2-, [431]3/2+ ⊗ [303]5/2-, [431]1/2+ ⊗ [301]3/2-

Page 56: Nuclear Isomerism: Probes of Nuclear Structure

K-isomers

low-K

high-K

Expect K-isomers in regions wherehigh-Ω orbitals of deformed nuclei are near the Fermi surface

178HfK = 00+

K = 88+

K = 1616+

0

1.1 MeV

2.4 MeV

64% ν[514]7/2- x ν[624]9/2+

36% π[404]7/2+ x π[514]9/2-

ν[514]7/2- x ν[624]9/2+

x π[404]7/2+ x π[514]9/2-

4-qp

2-qp

Page 57: Nuclear Isomerism: Probes of Nuclear Structure

K-isomers

Z = 74, N = 104 Ta/Hf region A ~ 180near stabilitylong-lived isomers (sec – years)

Z = 66, N = 104 Dy, A ~ 170neutron driplineunstable beams

Z = 66, N = 74 A ~ 130, 140proton driplineµs isomers – IDT

Heavy elements – No (Z = 102) and Z=110 have been reported

Page 58: Nuclear Isomerism: Probes of Nuclear Structure

A~170-190

YbLuHfTaWReOs

Z=74

100 105 110

proton rich

neutron rich

Need:unstable beams (N>Z) oralternative production mode(not fusion evaporation)

Page 59: Nuclear Isomerism: Probes of Nuclear Structure

Non-structure interestsAstrophysics: most elements are produced in neutron-capture processes

s-process : proceeds via successive neutron captures and beta decays

slow neutron capture rate;Rcapture << Rbeta

r-process : proceeds via successive neutron captures and beta decays

fast neutron capture rate;Rcapture > Rbeta

Hf

Lu

Yb 104 105 106176Lu

1-

7-

3.7 hours

4 x 1010 years

Page 60: Nuclear Isomerism: Probes of Nuclear Structure

Non-structure interests

Potential energy source: controlled triggering of isomer decay

178Hf

2.4 MeV, t½ = 31 years 40 ± 20 keV

observed: Phys. Rev. Lett. 82, 695 (1999).refuted: Phys. Rev. Lett. 87, 072503 (2001).

γ-ray lasers: 43,44,45,46Sc, 58Co, 57Fe, 63Ni, 65,67Zn, 74Ga, 69,73,75,77Ge, 76As, 77,79Se, 77,79,83Kr, 83Rb,90,92Nb, 99Mo, 105Ru, 100,105Rh, 107Pd, 103,107,109,110,111,116,118,120Ag, 116,119In, 109Cd, 115Sn,118,120,122,126Sb, 120,122I, 125Xe, 134,140Cs, 137,138La, 140Nd, 141,152,154Eu, 153,157Gd, 157,169,171Er,165,167Tm, 172,173,177Lu, 173,175Hf, 177,181,183Ta, 179,180Re, 181Os, 187Pt, 189Au, 207,209,210Po,206Bi, 243Cm

Bio-engines??

Page 61: Nuclear Isomerism: Probes of Nuclear Structure

Chart of Nuclides

N

Z Neutron rich nuclei: very l i t t le known!

Exotic proton rich nuclei

Page 62: Nuclear Isomerism: Probes of Nuclear Structure

Summary of isomer studies presented

Spherical – 210Raprobe: spherical structuretool: correlate states across the µs-isomer

Deformed – 80Yprobe: deformed structuretool: 80Zr beta decay

and to correlate states across the µs-isomer

Understanding why certain states are isomeric is important!

Page 63: Nuclear Isomerism: Probes of Nuclear Structure

THANKS!

Page 64: Nuclear Isomerism: Probes of Nuclear Structure

Is a recoil/mass separator necessary?

Not always –beam

YRAST­Ball and target chamber

90Zr foil and BGO detectors

0

100

200

300

400

200 280 360 440 520

delayedprompt*.00075

counts

/keV

Energy (keV)

84Nb

Page 65: Nuclear Isomerism: Probes of Nuclear Structure

Other techniques

a) thick target experiments -- recoil is stopped

-- short-lived (ns) isomers

b) beam pulsing-- beam on/off regularly-- short-lived isomers

c) Moving tape collector

d) fission => isomers

beamtarget

Page 66: Nuclear Isomerism: Probes of Nuclear Structure

Comparisons to isotopes

0+

2+4+6+8+8+

11-10+

12+14+

17+

12+

0+

2+

4+

6+8+8+10+11-

1213-

16+

0+

2+

2+4+4+

6+8+10+1111-12-12,13

0

1.0

2.0

3.0

4.0

Ener

gy, M

eV

210Ra 212Ra 214Ra

67 µs11 µs2.2 µs

333 ns

285 ns

230 ns

850 ns

6 protons above Z=82;h9/2

6 h9/22 0+, … 8+

2+(h9/22) 10+, ..

h9/2f7/2 8+

h9/2i13/2 11-

Page 67: Nuclear Isomerism: Probes of Nuclear Structure

Temp

3

2

1

0

ln(c

ount

s)

7000600050004000300020001000time (ns)

t1/2 = 456