Single-particle energies in neutron-rich nuclei by shell model sum rule

2006 ◽  
Vol 74 (3) ◽  
Author(s):  
A. Umeya ◽  
K. Muto
Keyword(s):  
Shell Model ◽  
Single Particle ◽  
Sum Rule

PARTICLE-NUMBER CONSERVING TREATMENT FOR THE GROUND STATE BANDS IN EVEN-EVEN TRANSFERMIUM NUCLEI

2008 ◽  
Vol 17 (supp01) ◽  
pp. 208-218 ◽  
Author(s):  
XIAO-TAO HE ◽  
ZHONG-ZHOU REN
Keyword(s):  
Angular Momentum ◽  
Shell Model ◽  
Single Particle ◽  
Ground State ◽  
Particle Number ◽  
Rotational Frequency ◽  
Moment Of Inertia ◽  
Particle Level ◽  
Pairing Correlations ◽  
Band Crossing

The ground state bands observed in even-even transfermium nuclei 250 Fm and 252,254 No are investigated by the cranked shell model with the particle-number conserving treatment for the monopole and quadrupole pairing correlations. The experimental variations of the kinematic moment of inertia with rotational frequency are reproduced very well in our calculation. Our results show bankbendings of [Formula: see text] at ħω ≈ 0.275 and 0.300 MeV in 252 No and 254 No , respectively. The detailed information about the contribution to alignment from each cranked single particle level exhibits that the backbending is mainly due to the rapidly aligned angular momentum of proton 1j15/2 [770]1/2 pairs and neutron 2h11/2 [761]3/2, 1j15/2 [734]9/2 pairs the band crossing.

scholarly journals SHELL MODEL DESCRIPTION OF 102–108Sn ISOTOPES

2012 ◽  
Vol 21 (04) ◽  
pp. 1250049
Author(s):  
T. TRIVEDI ◽  
P. C. SRIVASTAVA ◽  
D. NEGI ◽  
I. MEHROTRA
Keyword(s):  
Shell Model ◽  
Single Particle ◽  
State Of The Art ◽  
Model Space ◽  
Model Description ◽  
Nuclear Shell Model ◽  
Model Calculations ◽  
Particle Orbits ◽  
Recent Experimental Work ◽  
Nuclear Shell

We have performed shell model calculations for neutron deficient even 102-108 Sn and odd 103-107 Sn isotopes in sdg7/2h11/2 model space using two different interactions. The first set of interaction is due to Brown et al. and second is due to Hoska et al. The calculations have been performed using doubly magic 100 Sn as core and valence neutrons are distributed over the single particle orbits 1g7/2, 2d5/2, 2d3/2, 3s1/2 and 1h11/2. In more recent experimental work for 101 Sn [I. G. Darby et al., Phys. Rev. Lett.105 (2010) 162502], the g.s. is predicted as 5/2+ with excited 7/2+ at 172 keV. We have also performed another two set of calculations by taking difference in single particle energies of 2d5/2 and 1g7/2 orbitals by 172 keV. The present state-of-the-art shell model calculations predict fair agreement with the experimental data. These calculations serve as a test of nuclear shell model in the region far from stability for unstable Sn isotopes near the doubly magic 100 Sn core.

Th and U fission barriers within the Woods-Saxon two center shell model

Open Physics ◽  
2011 ◽  
Vol 9 (1) ◽  
Author(s):  
Mihail Mirea ◽  
Laurent Tassan-Got
Keyword(s):  
Experimental Data ◽  
Shell Model ◽  
Configuration Space ◽  
Single Particle ◽  
Degrees Of Freedom ◽  
Nuclear Shape ◽  
Microscopic Method ◽  
Minimal Action ◽  
Fission Barriers ◽  
Theoretical Results

AbstractFission barriers of actinides are calculated in the framework of the macroscopic-microscopic method. The single particle energies are obtained within a new version of the Woods-Saxon two-center shell model. A nuclear shape parametrization characterized by five degrees of freedom is used. The barriers are calculated along the minimal action trajectory in the configuration space and the inertia is evaluated within the cranking formalism. The reliability of the model is tested by comparing the theoretical results with values deduced from experimental data.

Hartree–Fock and Shell-Model Studies of 56Ni

1973 ◽  
Vol 51 (7) ◽  
pp. 737-742 ◽  
Author(s):  
G. Do Dang ◽  
J. A. Rabbat
Keyword(s):  
Shell Model ◽  
Excited States ◽  
Single Particle ◽  
Critical Discussion ◽  
Hartree Fock ◽  
Model Studies

The structure of the low-lying states of 56Ni is studied in the frameworks of the Hartree–Fock theory and the shell model. Attention is focused on the choice of the single particle energies and the effect of highly excited states. It is found that the low-lying states can reasonably be described by the shell model with 1p–1h and 2p–2h excitations from the 1f7/2 level. A critical discussion of the contradictory results of previous works is made and their connection with the present work is pointed out.

General proof of the saturation of the Adler-Weisberger sum rule in a quark shell model

1982 ◽  
Vol 25 (7) ◽  
pp. 1931-1936 ◽  
Author(s):  
M. B. Gavela ◽  
A. Le Yaouanc ◽  
L. Oliver ◽  
O. Pène ◽  
J. C. Raynal
Keyword(s):  
Shell Model ◽  
Sum Rule ◽  
General Proof

scholarly journals Shell model and Hartree-Fock calculations of electron scattering form factors for 25Mg nucleus

2019 ◽  
Vol 14 (31) ◽  
pp. 28-36
Author(s):  
Ali A. Alzubadi
Keyword(s):  
Shell Model ◽  
Electron Scattering ◽  
Single Particle ◽  
Effective Interaction ◽  
Form Factors ◽  
Model Space ◽  
Inelastic Electron ◽  
Hartree Fock ◽  
Particle Potential ◽  
Single Particle Potential

Shell model and Hartree-Fock calculations have been adopted to study the elastic and inelastic electron scattering form factors for 25Mg nucleus. The wave functions for this nucleus have been utilized from the shell model using USDA two-body effective interaction for this nucleus with the sd shell model space. On the other hand, the SkXcsb Skyrme parameterization has been used within the Hartree-Fock method to get the single-particle potential which is used to calculate the single-particle matrix elements. The calculated form factors have been compared with available experimental data.

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