Structure of low and high spin states in $^{112}$Sb in interacting boson fermion fermion model

A.K. Singh

doi:doi:10.1007/s100500050143

2022 Impact factor 2.7

Hadrons and Nuclei

Eur. Phys. J. A 3, 9-15

Structure of low and high spin states in ¹¹²Sb in interacting boson fermion fermion model

A.K. Singh

Department of Physics, University College of Science, University of Calcutta, 92, Acharya Prafulla Chandra Road, Calcutta 700 009, India

Received: 23 December 1997 / Revised version: 30 April 1998 Communicated by P. Schuck

Abstract
In this paper, properties of the low and the high spin states in ¹¹²Sb have been studied in the framework of Interacting Boson Fermion Fermion Model. A surface delta plus spin-spin type of interaction has been taken as the residual interaction between the odd neutron and the odd proton. Energy values, magnetic moments of the ground state and the isomeric 8^- state, E2/M1 mixing ratios of some of the low-lying transitions and logft values for the Gamow-Teller transitions in ¹¹²Sb $\rightarrow$ ¹¹²Sn and ¹¹¹Sb $\rightarrow$ ¹¹¹Sn decay have been calculated and are compared with the experimental results. The band based on the configuration $\pi g^{-1}_{9/2}\pi g^{2}_{7/2}\bigotimes \nu h_{11/2}$ is obtained in this calculation by coupling the proton in the g_9/2 and the neutron in the h_11/2 orbital to the deformed band of ¹¹⁰Sn. The B(M1)/B(E2) ratios and branching ratios for the transitions in this band have also been calculated and compared with the experimental results.

PACS
21.60.Fw Models based on group theory - 21.10.Ky Electromagnetic moments - 21.10.Tg Lifetimes - 23.40.Hc Relation with nuclear matrix elements and nuclear structure - 27.60.+j $90 \le A \le 149$