Independent Particle Shell Model

2017 ◽  
pp. 169-183
Keyword(s):  
Shell Model ◽  
Independent Particle

scholarly journals Towards a unification of independent particle and collective models

2020 ◽  
Vol 19 ◽  
pp. 140
Author(s):  
G. S. Anagnostatos
Keyword(s):  
Shell Model ◽  
Collective Models ◽  
Fundamental Properties ◽  
Model Based ◽  
Independent Particle ◽  
Average Shape

A unification of Independent Particle and Collective Models is proposed via the Isomorphic Shell Model. Through this model, based on fundamental properties of fermions, an average shape for each nucleus is derived which simultaneously reproduces independent particle and collective properties. 20Ne is taken as an example.

scholarly journals Description of the generalized momentum distribution in finite nuclei within t h e independent-particle shell model

2020 ◽  
Vol 9 ◽  
pp. 290
Author(s):  
P. Papakonstantinou ◽  
E. Mavrommatis ◽  
T. S. Kosmas
Keyword(s):  
Shell Model ◽  
Momentum Distribution ◽  
Closed Shell ◽  
Model Application ◽  
Independent Particle ◽  
Closed Shell Nuclei ◽  
Nuclear Systems ◽  
Generalized Momentum ◽  
Finite Nuclei

A method for calculating the generalized momentum distribution in finite nuclear systems is presented and discussed within the context of the independent particle shell model. Application to the light closed-shell nuclei 16O and 40Ca is included.

scholarly journals ON THE TWO-BODY MOMENTUM DISTRIBUTION IN FINITE NUCLEI

2003 ◽  
Vol 17 (28) ◽  
pp. 5197-5201
Author(s):  
P. PAPAKONSTANTINOU ◽  
E. MAVROMMATIS ◽  
T. S. KOSMAS
Keyword(s):  
Shell Model ◽  
Momentum Distribution ◽  
Correlation Functions ◽  
Short Range ◽  
Closed Shell ◽  
Independent Particle ◽  
Closed Shell Nuclei ◽  
Analytic Expressions ◽  
Finite Nuclei ◽  
Short Range Correlations

We present compact analytic expressions for the two-body momentum distribution η2(p1, p2) in Z=N closed-shell nuclei derived within the context of the independent particle shell model. Results are derived for the nucleus 16 O . The effect of dynamical short-range correlations is estimated using Jastrow-type correlation functions in the case of the nucleus 4 He .

Multiharmonic nuclear Hamiltonian

1992 ◽  
Vol 70 (5) ◽  
pp. 361-364 ◽  
Author(s):  
G. S. Anagnostatos
Keyword(s):  
Shell Model ◽  
Ground State ◽  
Binding Energies ◽  
Oscillator Potential ◽  
Central Potential ◽  
Direct Treatment ◽  
Independent Particle

The present study successfully extends the independent-particle shell model by employing a multiharmonic oscillator potential for nuclei from 16O to 208Pb. Specifically, this study assumes a separate and different central potential for the nucleons of each shell, instead of a common central potential for all nucleons in a nucleus as is usually assumed by the conventional shell model. The present extension of the shell model leads to a simultaneous direct treatment of ground-state radii and binding energies for a sample of nuclei, i.e., 16O,28Si, 36Ar, 40Ar, 40Ca, 56Fe, 58Ni, 90Ni, 90Zr, 104Pd, 110Pd, 120Sn, 126Te,136Ba, 138Ba, 142Nd, 202Hg, and 208Pb.

NUCLEAR CHARGE RADII FROM H TO Pb

1996 ◽  
Vol 05 (03) ◽  
pp. 557-563 ◽  
Author(s):  
G.S. ANAGNOSTATOS
Keyword(s):  
Shell Model ◽  
Ground State ◽  
Nuclear Charge ◽  
New Model ◽  
Charge Radii ◽  
Ground State Properties ◽  
Independent Particle ◽  
Experimental Errors

The application of a new model on the charge radii for the most abundant isotopes of all elements from H to Pb is presented. The model (presented in detail elsewhere) constitutes a successful extension of the independent particle shell-model to incorporate ground state properties. The majority of radii so derived are almost within the experimental errors.

scholarly journals Nonmesonic Weak Decay of A-Hypernuclei within Independent-Particle Shell-Model

2010 ◽  
Author(s):  
Franjo Krmpotić ◽  
Alfredo P. Galeão ◽  
Mahir S. Hussein ◽  
A. Deppman ◽  
C. Krug ◽  
...  
Keyword(s):  
Shell Model ◽  
Weak Decay ◽  
Independent Particle
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