Effects of level inversion on the Coulomb displacement energies of the Ar-K isobaric analog state pairs

TL;DR

This study investigates how level inversion affects Coulomb displacement energies in neutron-rich Ar-K isobaric analog pairs using the relativistic mean field model, highlighting potential reductions in energy due to level inversion.

Contribution

It provides the first detailed analysis of level inversion effects on Coulomb energies in Ar-K pairs within the relativistic mean field framework.

Findings

Level inversion can reduce Coulomb displacement energy by 0.06-0.17 MeV.

Results offer a reference for experimental studies on nuclear level inversion.

The study tests the relativistic mean field model's predictions against inversion effects.

Abstract

The Coulomb displacement energies of the neutron-rich Ar-K isobaric analog state pairs with mass number $A=35-47$ are calculated within the relativistic mean field model and the effects of level inversion on the Coulomb displacement energies of the Ar-K isobaric analog state pairs are studied. The calculations are carried out in two cases, with and without consideration of the possible $2s_{1/2}$ and $1d_{3/2}$ proton level inversion of the neutron-rich Ar isotopes. Results show that the $2s_{1/2}$ and $1d_{3/2}$ level inversion of the neutron-rich Ar isotopes may reduce the Coulomb displacement energy by 0.06$\sim$0.17 MeV for the Ar-K isobaric analog state pairs. The results may provide a reference for experimental investigations of nuclear level inversion and a new test of the relativistic mean field model.