Modification of single-hole-like states by configuration mixing in the $^{99-131}$In

TL;DR

This study uses large-scale shell-model calculations to analyze the energy levels and properties of odd-A indium isotopes, highlighting the importance of configuration mixing in matching experimental data.

Contribution

It demonstrates the critical role of configuration mixing with proton orbitals in accurately reproducing energy levels in indium isotopes.

Findings

Calculated energy levels agree well with experimental data.

Configuration mixing significantly influences neutron and proton orbital contributions.

Effective single-particle energies follow experimental trends.

Abstract

Large-scale shell-model calculations are performed for the $9/2^+_{\rm g.s.}$, $1/2^-_1$, $3/2^-_1$, and $5/2^-_1$ states in the odd-$A$ indium isotopes with $N=50-82$. The calculated energy levels, electromagnetic moments, and spectroscopic factors exhibit remarkable agreement with the experimental data due to significant configuration mixing for the neutron numbers away from the closed shells. The $1/2^-_1$ energy levels closely follow the trend of effective single-particle energies, which are determined using the fractional occupancies of neutron orbitals. However, configuration mixing with the proton $p_{3/2}$ and $f_{5/2}$ orbitals in the actual shell-model calculations plays a crucial role in accurately reproducing the positions of the $1/2^-_1$ levels, ensuring better agreement with the experimental data across the entire isotopic chain.