Systematic shell model study for N = 82 and N = 126 isotones and nuclear isomers

Abstract

In the present work, we have done a systematic shell model study of N = 82 and N = 126 isotones. For the N = 82 isotones, we have performed calculations using SN100PN interaction, while for N = 126 isotones, we have used KHPE interaction. Similarities between these two isotonic chains have been reported, using the strong resemblance between the high-j orbitals. Apart from the nuclear spectroscopic properties, we have also explained different isomeric states in these two regions. In the N = 82 region, we have mainly discussed the properties of the 6+ and 17/2+ isomers, while in the N = 126 region for 8+, 11−, 21/2− and 29/2+ isomers. We have reported B(E2), B(E3), g-factor, and quadrupole moments of the isomeric states for comparison in these two isotonic chains.