The Ground State Nilsson Quantum Numbers of the Odd-Odd^138,140Pr Nuclei

Abstract

In this work, we have determined the Nilsson quantum numbers of the ground state of the odd-odd 138,140 Pr nucleus for the first time. To achieve it, several low energy neutron-proton two quasiparticle levels have been calculated in 138,140 Pr nuclei using deformed Woods-Saxon potential basis. The Gamov-Teller β (+) decay transition matrix elements from these levels to the ground state of the neighbor 138,140 Ce nuclei and log f t values have been calculated. From the comparison of theoretical and experimental log f t values and neutron-proton K quantum numbers the ground state Nilsson quantum numbers of the odd-odd isotopes have been determined as {n [402]3/2− p[413]5/2} 1 + for two isotopes.

Shell Model Calculation for Few Particle Even-Even Nuclei in 132Sn Doubly Magic Mass Region

“…The structures of few valence particle nuclides provide best opportunities to examine and develop the properties of N-N interaction [1,2]. In this work, we have focused our calculation on the study of 134 Te nucleus in 132 Sn mass region.…”