Mirror energy difference and the structure of loosely bound proton-rich nuclei around A = 20

TL;DR

This paper investigates the structure of loosely bound proton-rich nuclei around A=20 using the shell model, focusing on the reduction of effective interactions involving the proton s1/2 orbit and its impact on nuclear properties.

Contribution

It introduces a modified shell-model Hamiltonian incorporating reduced effective interactions to better describe weakly bound proton-rich nuclei around A=20.

Findings

Reduced effective interactions improve agreement with experimental energies.

Modification of the shell-model Hamiltonian reproduces binding energies and energy levels.

Discussion of how interaction reduction affects nuclear structure and decay properties.

Abstract

The properties of loosely bound proton-rich nuclei around A = 20 are investigated within the framework of nuclear shell model. In these nuclei, the strength of the effective interactions involving the loosely bound proton s1=2 orbit are significantly reduced in comparison with those in their mirror nuclei. We evaluate the reduction of the effective interaction by calculating the monopole-baseduniversal interaction (VMU) in the Woods-Saxon basis. The shell-model Hamiltonian in the sd shell, such as USD, can thus be modified to reproduce the binding energies and energy levels of the weakly bound proton-rich nuclei around A = 20. The effect of the reduction of the effective interaction on the structure and decay properties of these nuclei is also discussed.