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

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.

Accepted in Nuclear Physics A. Key words: Sn-isotopes, Pb-isotopes, N = 82 isotones, Generalized Seniority, g-factor, Schmidt model, First excited $2^{+}$ states, Seniority isomers, Generalized Seniority Schmidt Model

References in corpus (6)

• Partial conservation of seniority and nuclear isomerism
• Odd tensor electric transitions in high-spin Sn-isomers and generalized seniority
• Asymmetric behavior of the B$(E2\uparrow ;0^{+}\to 2^{+})$ values in ${}^{104-130}$Sn and Generalized Seniority
• 6${}^{+}$ isomers in neutron-rich Sn-isotopes beyond N$=82$ and effective interaction
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Cited by in corpus (6)

• Atlas of Nuclear Isomers -- Second Edition
• Evolution of nuclear structure in and around Z=50 closed shell: Generalized Seniority in Cd, Sn and Te isotopes
• Overview of Seniority Isomers
• Generalized seniority isomers in and around $Z=82$ closed shell: a survey of Hg, Pb and Po isotopes
• A unified view of the first-excited $2^{+}$ and $3^{-}$ states of Cd, Sn and Te isotopes
• A puzzle on isomeric configurations in and around $N=126$ closed shell