Shell model study of isobaric analog states for $T_z= \pm 2$ nuclei using isospin non-conserving interactions

Sakshi Shukla; Praveen C. Srivastava; Kazunari Kaneko

doi:10.1088/1361-6471/ae2eec

paper

Shell model study of isobaric analog states for $T_{z} = \pm 2$ nuclei using isospin non-conserving interactions

arXiv:2512.13322 · doi:10.1088/1361-6471/ae2eec

Abstract

In order to comprehend the process underlying mirror energy differences in mirror pairs, we have performed shell-model calculations for $T_{z} = \pm 2$ $s d$ -shell nuclei in the mass range $A$ = 20 to 36 and neutron number varying from $N$ = 8 to 20. Isospin-symmetry breaking (ISB) is responsible for the mirror energy difference of excited states. We have investigated the {\color{black}isospin non-conserving} interactions: USDC and USDCm to explore the low-lying energy spectra, mirror energy differences, isoscalar ( $M_{0}$ ), isovector ( $M_{1}$ ) matrix elements, \textit{E2} transition probability, magnetic ( $μ$ ), and quadrupole moments ( $Q$ ) of mirror-pair and compared them with their available experimental data. The impact of single-particle states on weakly bound and unbound nuclear states are investigated, especially those of the $s$ -wave. We have also analyzed single proton/neutron separation energies and proton/neutron occupancy for ( $T_{z}$ =-2)/( $T_{z}$ =+2) $s d$ -shell nuclei.

arXiv commentJournal of Physics G: Nuclear and Particle Physics (accepted)

Shell model study of isobaric analog states for Tz​=±2 nuclei using isospin non-conserving interactions

Abstract

References in corpus (13)

Shell model study of isobaric analog states for $T_{z} = \pm 2$ nuclei using isospin non-conserving interactions