J=0, J=J_{max} and quadrupole pairing

TL;DR

This paper investigates the effects of different pairing interactions on the wave functions and energy levels of two neutrons and two protons in the g_{9/2} shell, highlighting the limited impact of J=0 pairing at high angular momentum states.

Contribution

It demonstrates that for states with angular momentum I ≥ 10, wave functions are unaffected by J=0 pairing, emphasizing the importance of other interaction components.

Findings

Wave functions for I ≥ 10 are unaffected by J=0 pairing.

Other interaction components become more significant at high angular momentum.

Energy levels are computed for various interactions.

Abstract

We consider 2 neutrons and 2 protons in the g_{9/2} shell.Wave functions and energy levels are obtained for various interactions. The wave functions for states with total angular momentum I greater or equal to 10 are not affected by what the pairing interacton (J=0 T=1) is.Other parts of the interaction are therefore of increased importance.