scholarly journals Shell model description of heavy nuclei and abnormal collective motions

2018 ◽  
Vol 178 ◽  
pp. 02015
Author(s):  
Chong Qi
Keyword(s):  
Shell Model ◽  
Degrees Of Freedom ◽  
Large Scale ◽  
Model Description ◽  
Heavy Nuclei ◽  
Collective Models ◽  
Collective Behaviors ◽  
Electromagnetic Transition ◽  
Nuclear Shell ◽  
Model Approach

In this contribution I present systematic calculations on the spectroscopy and electromagnetic transition properties of intermediate-mass and heavy nuclei around 100Sn and 208Pb. We employed the large-scale configuration interaction shell model approach with realistic interactions. Those nuclei are the longest isotopic chains that can be studied by the nuclear shell model. I will show that the yrast spectra of Te isotopes show a vibrational-like equally spaced pattern but the few known E2 transitions show rotational-like behaviour. These kinds of abnormal collective behaviors cannot be reproduced by standard collective models and provide excellent background to study the competition of single-particle and various collective degrees of freedom. Moreover, the calculated B(E2) values for neutron-deficient and heavier Te isotopes show contrasting different behaviours along the yrast line, which may be related to the enhanced neutron-proton correlation when approaching N=50. The deviations between theory and experiment concerning the energies and E2 transition properties of low-lying 0+ and 2+ excited states and isomeric states in those nuclei may provide a constraint on our understanding of nuclear deformation and intruder configuration in that region.

scholarly journals Nuclear spectra in a large scale shell model approach

2011 ◽  
Vol 336 ◽  
pp. 012009
Author(s):  
D Bianco ◽  
F Andreozzi ◽  
N Lo Iudice ◽  
A Porrino ◽  
F Knapp
Keyword(s):  
Shell Model ◽  
Large Scale ◽  
Model Approach

Mixed-symmetry states in Te isotopes within a large-scale shell model approach

2012 ◽  
Vol 86 (4) ◽  
Author(s):  
D. Bianco ◽  
N. Lo Iudice ◽  
F. Andreozzi ◽  
A. Porrino ◽  
F. Knapp
Keyword(s):  
Shell Model ◽  
Large Scale ◽  
Mixed Symmetry ◽  
Mixed Symmetry States ◽  
Model Approach

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.

MICROSCOPIC SELF-CONSISTENT AND COLLECTIVE MODEL DESCRIPTION OF LOW-ENERGY NUCLEAR STRUCTURE

1989 ◽  
Vol 04 (09) ◽  
pp. 2063-2146 ◽  
Author(s):  
K. HEYDE
Keyword(s):  
Nuclear Structure ◽  
Degrees Of Freedom ◽  
Collective Motion ◽  
Collective Model ◽  
Model Description ◽  
Mixed Symmetry ◽  
Self Consistent ◽  
Closed Shells ◽  
Model Approach

In the present review, an attempt is made to approach the different facets of the nucleus at low excitation energy from both a microscopic, self-consistent and a collective model approach. Some attention is given on how to relate the two “opposite” approaches to nuclear structure. In a final chapter, we discuss some newly appreciated modes in the nucleus that are specific to the proton and neutron degrees of freedom e.g. the study of intruder states near closed shells and the presence of proton-neutron mixed-symmetry collective motion.

scholarly journals Complex nuclear spectra in a large scale shell model approach

2012 ◽  
Vol 366 ◽  
pp. 012004
Author(s):  
D Bianco ◽  
F Andreozzi ◽  
N Lo Iudice ◽  
A Porrino ◽  
F Knapp
Keyword(s):  
Shell Model ◽  
Large Scale ◽  
Model Approach

On alpha-decay rates in heavy nuclei

1968 ◽  
Vol 46 (9) ◽  
pp. 1119-1128 ◽  
Author(s):  
L. Scherk ◽  
E. W. Vogt
Keyword(s):  
Shell Model ◽  
Alpha Particle ◽  
Residual Nucleus ◽  
Alpha Decay ◽  
Decay Rates ◽  
Nuclear Shell Model ◽  
Heavy Nuclei ◽  
Spectroscopic Factors ◽  
The One ◽  
Nuclear Shell

The alpha-decay rates in heavy nuclei are analyzed by a method in which the decay rates are factored into one-body widths and spectroscopic factors. It is shown that the discrepancy between the absolute values of the experimental alpha-decay rates and those calculated with the nuclear shell model has mainly resided in the incorrect assessment of the one-body widths and that it can be largely removed by a more direct treatment of the average interaction between the alpha particle and the residual nucleus.

scholarly journals Study of the double Gamow-Teller transitions using the shell model approach

2018 ◽  
Vol 194 ◽  
pp. 02003
Author(s):  
Naftali Auerbach ◽  
Minh-Loc Bui
Keyword(s):  
Shell Model ◽  
Beta Decay ◽  
Ground State ◽  
Parent Nucleus ◽  
Nuclear Matrix Element ◽  
Double Beta Decay ◽  
Teller Transition ◽  
Nuclear Shell ◽  
Gamow Teller ◽  
Model Approach

The double Gamow-Teller strength distributions in the lightest double beta-decay candidate 48Ca and its isotope 46Ca were calculated using the nuclear shell model by applying the single Gamow-Teller operator two times sequentially on the ground state of parent nucleus. The nuclear matrix element of the double Gamow- Teller transition from the ground state to the ground state that goes into the double beta decay calculation was shown as a small fraction of the total transition.

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