Shell-model study of mirror nuclei with modern charge-dependent \textit{NN} potential

Abstract

The properties of $T=1/2$ mirror nuclei in the $fp$ shell have been studied with a microscopic residual interaction. The isospin-nonconserving interaction is derived from a high-precision charge-dependent Bonn \textit{NN} potential using the folded-diagram renormalization method. The level structures of the nuclei are calculated, obtaining excellent agreements with experimental observations till the $0f_{7/2}$ band termination. The role played by isospin symmetry breaking on ground-state displacement energies and mirror energy differences is discussed, which may help to explain the long-standing Nolen-Schiffer anomaly. Electromagnetic and weak transition properties are presented, with discussions on the asymmetry in analogous transitions.

10 pages, 13 figures, 7 tables

References in corpus (14)

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• The high-precision, charge-dependent Bonn nucleon-nucleon potential (CD-Bonn)
• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Construction of high-quality Nucleon-Nucleon potential models
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• Shell model study of the isobaric chains A=50, A=51 and A=52
• Isobaric multiplet yrast energies and isospin non-conserving forces
• Full pf shell study of A = 47 and A = 49 nuclei
• Transition rates and nuclear structure changes in mirror nuclei 47Cr and 47V
• Isospin symmetry breaking nucleon-nucleon potentials and nuclear structure
• On the asymmetry of Gamow-Teller beta-decay rates in mirror nuclei in relation with second-class currents
• Shell-model description of N ~ Z 1f7/2 nuclei
• Shell-model study of spectroscopies and isospin structures in odd-odd $N=Z$ nuclei employing realistic \emph{NN} potentials
• The Cranked Nilsson-Strutinsky versus the Spherical Shell Model: A Comparative Study of pf-Shell Nuclei

Cited by in corpus (7)

• A monopole-optimized effective interaction for tin isotopes
• Mirror energy difference and the structure of loosely bound proton-rich nuclei around A = 20
• Recent progress in configuration-interaction shell model
• Complex valence-space effective operators for observables: the Gamow-Teller transition
• Isospin effects in N~Z nuclei in extended Density Functional Theory
• Gogny-force derived effective shell-model Hamiltonian
• $p$-shell hypernuclear structures using the Gogny-interaction shell model