Random-interaction study on linear systematics of $I^{\pi}=11/2^-$ electromagnetic moments in Cd isotope chain

TL;DR

This study investigates the linear behavior of electromagnetic moments in Cd isotope chain isomers using random-interaction ensembles, highlighting the roles of specific interactions in shaping these systematics.

Contribution

It demonstrates that random-interaction ensembles can reproduce the linear systematics of electromagnetic moments in Cd isotopes, emphasizing the influence of quadrupole-like and proton-neutron interactions.

Findings

Electromagnetic moments show linear trends with neutron number.

Quadrupole-like interactions influence quadrupole moments.

Proton-neutron interactions affect magnetic moments.

Abstract

In the random-interaction ensembles, electromagnetic moments of Cd $I^{\pi}=11/2^-$ isomers predominately present linear systematics as changing the neutron number, which has been reported in realistic nuclear system. Quadrupole-like and $\delta$-like $pn$ interaction are responsible for such linear systematics of quadrupole and magnetic moments, respectively.