The (2j-1) rule with other interactions

TL;DR

This paper extends a previously formulated rule for nuclear isomeric states in a four-nucleon system, testing its robustness with a new interaction model applied to an odd-odd nucleus.

Contribution

It demonstrates that the (2j-1) rule remains valid under a different interaction model for odd-odd nuclei, confirming its robustness.

Findings

The (2j-1) rule applies to odd-odd nuclei with the new interaction.

The rule holds for states with angular momenta J=2 and J=(2j-1).

The result supports the rule's general applicability across different nuclear interactions.

Abstract

We recently formulated a rule for isomeric states for a system of 4 nucleons with isospin T=1, namely that if the nucleons are in a single j shell then states with angular momenta J=2 and J=(2j-1) are either isomeric or ground states [ze12]. To show that this is a robust result, we here consider a new interaction from the literature that was used to discuss even-even and odd-even nuclei. We here apply it to an odd-odd nucleus.