Low-lying level structures in ¹⁶²Lu

2025/08/15 by Susshma, N, Deepa, S, Sai, K Vijay +1
#FOS: Physical sciences #Nuclear Theory (nucl-th)

paper · doi:10.48550/arxiv.2508.11251

Abstract

The well-tested empirical two quasiparticle rotor model calculations are used to characterize low-lying isomers in the odd-odd nucleus ¹⁶²Lu. Physically admissible 2qp bandheads are obtained to construct the low-energy level structure of the nucleus, assign spin-parity (J^π), orbital configuration, and level energies (E_x), for the gs and the two reported isomers. The spin-parity and orbital configuration of the 1.5 min isomer are confirmed to be J^π= 4^-\π5/2⁺[402\uparrow] ⊗ ν3/2^-[521\uparrow]\. Its level energy has been estimated to be E_x \thickapprox 62 keV. The 1.9 min isomer is characterized for the first time with J^π= 6⁺\π9/2^-[514\uparrow] ⊗ ν3/2^-[521\uparrow]\ and energy E_x \thickapprox 157 keV. Based on these assignments, individual β-decay branches of gs and the two isomers to the daughter levels in ¹⁶²Yb are proposed. The study is extended to neighboruing isotopes ^164,166,168Lu. A short-lived isomer, tentatively proposed in a previous study of ¹⁶⁴Lu, is identified as J^π= 6⁺\π7/2⁺[404\downarrow] ⊗ ν5/2⁺[402\uparrow]\ with energy E_x \thickapprox 52 keV. The energy of the J^π=3⁺ isomer in ¹⁶⁸Lu, currently listed with large uncertainty, is deduced as E_x \thickapprox 100 keV significantly improving its value.

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