Study of isospin nonconservation in the framework of spectral distribution theory

TL;DR

This paper extends spectral distribution theory to include isospin nonconserving nuclear interactions, analyzing their impact on isospin symmetry breaking in light nuclei within the sd shell.

Contribution

It introduces a method to incorporate non-scalar isospin interactions into spectral distribution theory for nuclear structure analysis.

Findings

Calculated the linear term in the isobaric mass-multiplet equation from non-scalar interactions.

Demonstrated the significance of isovector and isotensor interactions in isospin symmetry breaking.

Extended spectral distribution theory to non-isospin-conserving Hamiltonians.

Abstract

The observed isospin-symmetry breaking in light nuclei are caused not only by the Coulomb interaction but by the isovector one and two body plus isotensor two body nuclear interactions as well. Spectral distribution theory which treats nuclear spectroscopy and other structural properties in a statistical framework was earlier applied to isospin conserving Hamiltonians only. In this paper we extend that to include the nuclear interactions non-scalar in isospin and work out examples in sd shell to calculate the linear term in the isobaric mass-multiplet equation originating from these non-scalar parts.