Symmetries in the \bm{g_{9/2}} shell

TL;DR

This paper explores symmetries in nuclear shell models when certain two-body interaction matrix elements are equal, using ^96Cd as a case study to understand the resulting effects.

Contribution

It introduces a symmetry analysis in the g_{9/2} shell under specific interaction constraints, providing new insights into nuclear structure modeling.

Findings

Symmetry arises when T=0 matrix elements are equalized.

Application to ^96Cd reveals specific symmetry patterns.

Implications for simplifying nuclear shell calculations.

Abstract

We consider symmetries which arise when two-body interaction matrix elements with isopin T=0 are set equal to a constant in a single-j -shell calculation. The nucleus ^{96} Cd is used as an example.