G-factor calculations from the generalized seniority approach

Bhoomika Maheshwari,Ashok Kumar Jain

doi:10.1051/epjconf/201817802006

Bhoomika Maheshwari, Ashok Kumar Jain

Open Access

https://doi.org/10.1051/epjconf/201817802006

Copy DOI

Abstract

The generalized seniority approach proposed by us to understand the B(E1)/B(E2)/B(E3) properties of semi-magic nuclei has been widely successful in the explanation of the same and has led to an expansion in the scope of seniority isomers. In the present paper, we apply the generalized seniority scheme to understand the behavior of g-factors in semi-magic nuclei. We find that the magnetic moment and the gfactors do show a particle number independent behavior as expected and the understanding is consistent with the explanation of transition probabilities.

Highlights

Recent experimental advances towards the neutron drip line provide us opportunities to test the known theoretical ideas and understand the systematics and trends in newer contexts
It is well known that the magnetic moments and gfactors show a particle number independent behavior for identical nucleons in single-j shell of a pure-seniority scheme [12]
[13].Two parabolas in B(E2) curve highlight the difference in the configuration mixing, before and after the middle for the generation of the 2+ states in Sn isotopes, in contrast to a single peak at 116Sn expected from the pure seniority scheme[2], and references therein, which is line with the interpretations of Irving et al [14]

Summary

Introduction

Recent experimental advances towards the neutron drip line provide us opportunities to test the known theoretical ideas and understand the systematics and trends in newer contexts. A new kind of seniority isomers and their related seniority selection rules have been established for the first time[1] This generalized seniority scheme is quite successful in explaining the reduced transition probabilities and the corresponding half-lives of the semi-magic isomers in different mass regions[1,2,3,4,5]. We extend the generalized seniority calculations to obtain the g-factors, in the neutron-rich Sn isotopes. Several theoretical attempts have predicted the gfactors (magnetic moments) of the first excited 2+ states in Sn isotopes [7,8,9,10]. We present the g-factor calculations for the first excited 2+ states in Sn isotopes by using our generalized seniority approach.

Theoretical Framework

Calculations and results

Conclusion