scholarly journals Perturbative Approach to Effective Shell-Model Hamiltonians and Operators

2020 ◽  
Vol 8 ◽  
Author(s):  
Luigi Coraggio ◽  
Nunzio Itaco
Keyword(s):  
Shell Model ◽  
Perturbative Approach ◽  
Model Hamiltonians

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

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 Forbidden transitions in nuclear weak processes relevant to neutrino detection, nucleosynthesis and evolution of stars

2019 ◽  
Vol 223 ◽  
pp. 01063
Author(s):  
Toshio Suzuki ◽  
Satoshi Chiba ◽  
Takashi Yoshida ◽  
Koh Takahashi ◽  
Hideyuki Umeda ◽  
...  
Keyword(s):  
Shell Model ◽  
Cross Sections ◽  
Neutral Current ◽  
Expansion Method ◽  
Multipole Expansion ◽  
Reaction Cross ◽  
Model Calculations ◽  
Multipole Expansion Method ◽  
Supernova Explosions ◽  
Model Hamiltonians

The distribution of the spin-dipole strengths in 16O and neutrino-induced reactions on 16O areinvestigated by shell-model calculations with new shell-model Hamiltonians. Chargedcurrent and neutral-current reactioncross sections are valuated in various particle and γ emission channels as well as the total ones at neutrinoenergies up to Eν≈ 100 MeV. Effects of multiparticle emission channels, especially the αp emission channels, on nucleosynthesis of 11B and 11C in core-collapse supernova explosions are investigated. The MSW neutrino oscillation effects oncharged-current reaction cross sections are investigated for future supernova burst. Electron capture rates for a forbidden transition 20Ne(Og.s.+) → 20F(2g.s.+) in stellar environments are evaluated by the multipole expansion method with the use of shell model Hamiltonians, and compared with those obtained by a prescription that treats the transition as an allowed GamowTeller (GT) transition. Different electron energy dependence of the transition strengths between the two methods is found to lead to sizable differences in the weak rates of the two methods.

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.

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