Isobaric analog states in the f_{7/2} and g_{9/2} shells

TL;DR

This paper investigates the energies of isobaric analog states in specific nuclear shells using two different theoretical approaches, providing insights into their excitation energies and potential experimental observations.

Contribution

It compares shell model calculations and binding energy formulas to analyze isobaric analog states in the f_{7/2} and g_{9/2} shells, including regions not yet experimentally explored.

Findings

Some calculations predict very low excitation energies for specific states.

The methods show varying results, highlighting the complexity of modeling these states.

Results suggest potential candidates for experimental detection in unobserved regions.

Abstract

Calculations are performed for energies of isobaric analog states with isospins T=2 and T=3 in regions where they have been found experimentally e.g. f-p shell, and regions where they have not yet been found e.g. g_{9/2} near Z=50,N=50. We consider two approaches--one using binding energy formulas and Coulomb energies contained therein and the other using shell model calculations. It is noted that some (but not all) calculations yield very low excitation energies for the J=0^{+} T=2 isobaric analog state in ^{96} Ag.