The Nuclear g9/2 Shell -Comparison of our work with an old B.H. Flowers Paper

TL;DR

This paper compares old theoretical predictions with experimental data on nuclear energy levels in the g9/2 shell, highlighting discrepancies and the influence of nuclear deformation on level ordering.

Contribution

It revises previous models by considering different interactions and deformation effects, explaining observed variations in energy level ordering between nuclei.

Findings

In some nuclei, J=7/2+ states are lower than J=9/2+ states.

In others, J=9/2+ states are lower, aligning with experimental data.

Different nuclear interactions are justified based on deformation effects.

Abstract

In an old paper [ 1] B.H. Flowers discussed calculations for odd A nuclei in the g9/2 shell. He finds when he varies the parameters of a certain interaction that the lowest energy state is always a seniority v=1 state with angular momentum J=9/2+. However experiments show about half the states have J=9/2+ lower and the other ones have J=7/2+ lower. More recently we considered selected nuclei between Z=40 and Z=50. For lower odd N Zr isotopes we find J=7/2+ comes below J=9/2+ while for odd Z isotones near Z=50 the opposite is true i.e. J=9/2+ comes below J= 7/2+.We justify using different interactions in the 2 regions by considering nuclear deformation near the Z=40 region. A plea to find missing energy levels is made.