Ratio of Isoscalar to Isovector Core Polarization for Magnetic Moments

TL;DR

This paper investigates the ratio of isoscalar to isovector core polarization effects on magnetic moments in N=Z nuclei, revealing that isoscalar corrections are significantly smaller than isovector ones, with implications for shell model calculations.

Contribution

It provides a first-order perturbation theory analysis comparing isoscalar and isovector configuration mixing using a spin-dependent delta interaction.

Findings

Isoscalar corrections are much smaller than isovector corrections.

Large scale shell model results closely match simpler single j shell calculations.

The ratio of isoscalar to isovector effects explains the observed magnetic moments.

Abstract

In calculations of isoscalar magnetic moments of odd-odd N=Z nuclei it was found that for medium to heavy mass nuclei large scale shell model calculations yielded results which were very close to much simpler single j shell ones. To understand this we compare isoscalar and isovector configuration mixing in first order perturbation theory using a spin dependant delata interaction.The isoscalar corrections are much smaller