Consistent analysis of nuclear level structures and nucleon interaction data of Sn isotopes J.Y. Lee 1* , E. Sh. Soukhovitskii 2 , Y. D. Kim 1 , R. Capote 3 , S. Chiba 4 , and J. M. Quesada 5 1 Dep. of Physics, Sejong University, Korea 2 Joint Institute for Energy and Nuclear Research, Belarus 3 Nuclear Data Section, IAEA, Austria 4 Advanced Science Research Center, JAEA, Japan 5 Universidad de Sevilla, Spain * [email protected]
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Consistent analysis of nuclear level structures and nucleon interaction data of Sn isotopes
Consistent analysis of nuclear level structures and nucleon interaction data of Sn isotopes . J.Y. Lee 1* , E. Sh. Soukhovitskii 2 , Y. D. Kim 1 , R. Capote 3 , S. Chiba 4 , and J. M. Quesada 5 1 Dep. of Physics, Sejong University, Korea - PowerPoint PPT Presentation
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Consistent analysis of nuclear level structures
and nucleon interaction data of Sn iso-topes
J.Y. Lee1*, E. Sh. Soukhovitskii2,Y. D. Kim1, R. Capote3, S. Chiba4, and J. M. Quesada5
1Dep. of Physics, Sejong University, Korea
2Joint Institute for Energy and Nuclear Research, Belarus3Nuclear Data Section, IAEA, Austria
4Advanced Science Research Center, JAEA, Japan5Universidad de Sevilla, Spain
Why Study Tin Isotopes ? A main component of nuclear reactor material. A candidate material for superconducting
magnets in fusion reactors. Energy splittings of yrast 0+, 2+, 4+ and 6+
levels are irregular. ⇒ may suggest non-harmonic vibrational
states? Sn isotopes are single-closed-shell nuclei of
Z=50.determine whether the calculations using a
self-consistent CC optical model may produce different nuclear deformations for different ex-ternal probes (protons, neutrons) for Sn iso-topes.
Present soft-rotator model - Lee et al., PRC 79, 064612 (‘09) - Soukhovitskii et al., PRC 72, 024604 (‘05) - Capote et al., PRC 72, 064610 (‘05) - Soukhovitskii et al., J. Physics G 30, 905(‘04)
ties for 116,118,120Sn using the soft-rotator model.
50
Description of soft-rotator model
ASSUME : An excited state of even-even non-spherical nucleus can be described as a combination of rotation, β-quadrupole and octupole vibrations, & γ-quadrupole vibra-
tion.
Multipole-deformed instant nuclear shape
Deformations
4,3,2 ,)','(1)','(
θYRθR
:
Hamiltonian of the soft-rotator model
where,
)()()(ˆ2
ˆ2
ˆ1ˆ2
ˆ322
2
420
3
22
222
2
32
VVVTB
TTTB
H r
.ˆˆˆ,1ˆ
,3sin3sin
1ˆ,1ˆ
3
1)4()3()2(
23
1
2
3
33
333
2
42
242
3
2
i iii
i
i i
ir JJJ
IJITT
TT
inertia of moments Principal:ˆaxisth in operator momentumangular theof Projection:
energy rotationalnuclear deformed ofOperator :ˆ
i
i
J
i-I
T
Description of soft-rotator model
ASSUME : An excited state of even-even non-spherical nucleus can be described as a combination of rotation, β-quadrupole and octupole vibrations, & γ-quadrupole vibra-
tion.
Multipole-deformed instant nuclear shape
Deformations
4,3,2 ,)','(1)','(
θYRθR
:
(Review)
Deformed nuclear potential :
max
1
00 )','(
!),(),())','(,(
0t
tt
RRt
t
YtRrR
RVRrVRrV
)','( YASSUME : is small.
))','(,()ˆˆ)(,(
))','(,()()()(
))','(,()()()(
))','(,()()(
CoulCoulSO
SWSSCoulSS
VWSVCoulVV
RWSCoulRHF
RrVlErV
RrgEiWEVEV
RrfEiWEVEV
RrfEVEV
(Non-spherical) Dispersive Optical Potential
(“Lane consistent dispersive CC OMP”)deal with (p,n) charge exchange reactions [to the elastic Isobaric Analogue States(IAS)]
)(4
)()(
)(4
)()()(
)(4
)()()(
1
10
10
EVAZN
EV
EVAZNEVEV
EVAZNEVEV
pn
FFnnn
FCFCppp
Isospin-dependent dispersive CC OMP
Lane equations Soukhovitskii et al, PRC 72, 024604 (‘05) Capote et al, PRC 72, 064610 (‘05)
Applications to Sn isotopesFor 120Sn(32.59%), 118Sn (24.22%), 116Sn