2012/10/31 by Y. H. Lam, Yi Hua Lam, Nadezda A. Smirnova +3 · 53 citations
Mathematics · Physics and Astronomy · #Atomic and Molecular Physics #Atomic physics #Charge (physics) #Coulomb #Electron #Fermi Gamma-ray Space Telescope #Hamiltonian (control theory) #Isospin #Mathematics #Multiplet #Nuclear physics #Nuclear physics research studies #Physics #Quadratic equation #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #nucl-th
paper · pdf · doi:10.1103/physrevc.87.054304
published in Physical Review C 87(5) (American Institute of Physics) · updated version: 30 pages, 16 figures
openalex publication_date 2013/05/06 · arxiv created 2013/06/29 · arxiv updated 2013/07/02 · openalex created_date 2017/03/23 · openalex updated_date 2026/08/05
The question of isospin-symmetry breaking in nuclei of the sd shell is addressed. We propose a new global parametrization of the isospin-nonconserving shell-model Hamiltonian which accurately describes experimentally known isobaric mass splittings. The isospin-symmetry violating part of the Hamiltonian consists of the Coulomb interaction and effective charge-dependent forces of nuclear origin. Particular attention has been paid to the effect of the short-range correlations. The behavior of b and c coefficients of the isobaric-mass-multiplet equation (IMME) is explored in detail. In particular, a high-precision numerical description of the staggering effect is proposed and contribution of the charge-dependent forces to the nuclear pairing is discussed. The Hamiltonian is applied to the study of the IMME beyond a quadratic form in the A=32 quintet, as well as to calculation of nuclear structure corrections to superallowed 0+\ensuremath→0+ Fermi \ensuremathβ decay and to amplitudes of Fermi transitions to nonanalog states in sd-shell nuclei.