Generalized Seniority Schmidt Model and the g-factors in Semi-magic Nuclei

TL;DR

This paper extends the generalized seniority approach to the Schmidt model to calculate g-factors in semi-magic nuclei, revealing particle number independence and providing insights into nuclear configurations.

Contribution

It introduces the Generalized Seniority Schmidt Model for g-factor calculations and demonstrates its effectiveness in explaining experimental data and predicting nuclear properties.

Findings

G-factors show particle number independent behavior in multi-j configurations.

Calculated g-factors align well with experimental trends.

G-factors serve as a sensitive probe for nuclear configuration assignments.

Abstract

We have recently applied the generalized seniority approach successfully to explain the B(E1)/B(E2)/B(E3) properties of the semi-magic nuclei. In the present paper, we extend this approach to the Schmidt model as Generalized Seniority Schmidt Model and calculate the g-factors of the various seniority states in the semi-magic nuclei. We find that the magnetic moments and the g-factors do show a particle number independent behavior in multi-j configurations, as expected in the seniority scheme. The calculated results explain the experimental trends quite well. We find that the g-factors of all the seniority states arising from a given multi-j configuration for identical nucleons is equal to the g-factor of the seniority $v = 1$ state from that configuration. Also, the g-factors are found to be a sensitive probe for fixing the multi-j configuration, which are fully consistent with the configurations assigned to explain the B(EL) properties in our previous works. We are also able to make definite predictions for many cases.