Isobaric analog state energy in deformed nuclei: a toy model

TL;DR

This paper introduces a simple model to evaluate how nuclear deformation affects the Coulomb energy of Isobaric Analog States, aiding predictions of unknown energies and supporting experimental studies.

Contribution

It presents a new formula and toy model to assess deformation effects on IAS energies, validated against microscopic HFB calculations.

Findings

The toy model aligns well with HFB results in test cases.

Predictions for IAS energies in several nuclei are provided.

Guides future experimental investigations.

Abstract

A formula to evaluate the effects of a general deformation on the Coulomb direct contribution to the energy of the Isobaric Analog State (IAS) is presented and studied via a simple yet physical model. The toy model gives a reasonable account of microscopic deformed Hartree-Fock-Bogolyubov (HFB) calculations in a test case, and provides a guidance when predicting unknown IAS energies. Thus, deformed HFB calculations, to predict the IAS energies, are performed for several neutron-deficient medium-mass and heavy nuclei which are now planned to be studied experimentally.