scholarly journals Effective shell-model hamiltonians from realistic nucleon–nucleon potentials within a perturbative approach

2012 ◽  
Vol 327 (9) ◽  
pp. 2125-2151 ◽  
Author(s):  
L. Coraggio ◽  
A. Covello ◽  
A. Gargano ◽  
N. Itaco ◽  
T.T.S. Kuo
Keyword(s):  
Shell Model ◽  
Nucleon Nucleon ◽  
Perturbative Approach ◽  
Model Hamiltonians

Core polarization and modern realistic shell-model Hamiltonians

2017 ◽  
Vol 26 (01n02) ◽  
pp. 1740006
Author(s):  
L. Coraggio ◽  
A. Covello ◽  
A. Gargano ◽  
N. Itaco
Keyword(s):  
Perturbation Theory ◽  
Shell Model ◽  
Nucleon Nucleon ◽  
Effective Hamiltonian ◽  
Core Polarization ◽  
Perturbative Approach ◽  
Nucleon Potential ◽  
Model Hamiltonian ◽  
Valid Instrument ◽  
Standard Calculation

The understanding of the convergence properties of the shell-model effective Hamiltonian, within the framework of the many-body perturbation theory, is a long-standing problem. The infinite summation of a certain class of diagrams, the so-called “bubble diagrams,” may be provided calculating the Kirson–Babu–Brown induced interaction, and provides a valid instrument to study whether or not the finite summation of the perturbative series is well-grounded. Here, we perform an application of the calculation of the Kirson–Babu–Brown induced interaction to derive the shell-model effective Hamiltonian for [Formula: see text]-shell nuclei starting from a modern nucleon–nucleon potential, obtained by way of the chiral perturbation theory. The outcome of our calculation is compared with a standard calculation of the shell-model Hamiltonian, where the core-polarization effects are calculated only up to third-order in perturbation theory. The results of the two calculations are very close to each other, evidencing that the perturbative approach to the derivation of the shell-model Hamiltonian is still a valid tool for nuclear structure studies.

scholarly journals Shell-Model Hamiltonians from Chiral Forces

2018 ◽  
Author(s):  
Sota Yoshida ◽  
Michio Kohno ◽  
Takashi Abe ◽  
Takaharu Otsuka ◽  
Naofumi Tsunoda ◽  
...  
Keyword(s):  
Shell Model ◽  
Model Hamiltonians

The structure of the spherical tensor forces in the USD and GXPF1A shell model Hamiltonians

2011 ◽  
Vol 35 (8) ◽  
pp. 753-757
Author(s):  
Han-Kui Wang ◽  
Zao-Chun Gao ◽  
Yong-Shou Chen ◽  
Jian-You Guo ◽  
Yong-Jing Chen ◽  
...  
Keyword(s):  
Shell Model ◽  
Model Hamiltonians

scholarly journals Neutrino-nucleus reactions based on new shell model Hamiltonians

2006 ◽  
Vol 74 (3) ◽  
Author(s):  
Toshio Suzuki ◽  
Satoshi Chiba ◽  
Takashi Yoshida ◽  
Toshitaka Kajino ◽  
Takaharu Otsuka
Keyword(s):  
Shell Model ◽  
Model Hamiltonians

scholarly journals An analytical formula for proton momentum distribution in nuclei with A>4

2019 ◽  
Vol 10 ◽  
pp. 248
Author(s):  
G. S. Anagnostatos ◽  
A. N. Antonov ◽  
J. Giapitzakis ◽  
P. Ginis ◽  
S. E. Massen ◽  
...  
Keyword(s):  
Experimental Data ◽  
Shell Model ◽  
Momentum Distribution ◽  
Analytical Formula ◽  
Nucleon Nucleon ◽  
Exotic Nuclei ◽  
Wave Functions ◽  
Proton Momentum ◽  
Correlation Effects ◽  
Hartree Fock

A successful analytical formula for the proton momentum distribution in all nuclei with A>4 accounting for nucleon-nucleon correlation effects, is presented. In this formula the Isomorphic Shell Model wave functions are employed, which are readily available for all nuclei all the way up to 2 0 8Pb. However, other wave functions (e.g., shell model or Hartree-Fock) could be used with almost equivalent results. Available experimental data for 4He, 1 2C and 5 6Fe and predictions of other theories, e.g., for 4 0Ca, are used for comparison of the predictions of the present formula. A reservation is kept concerning the validity of this formula for the momentum distribution of exotic nuclei.

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