Systematic shell-model analysis of 2ββ decay of 76Ge and 96Zr to the ground and excited states of 76Se and 96Mo
Abstract
In this work, we have studied the 2ββ decay of 76Ge and 96Zr isotopes utilizing large-scale shell-model calculations. The GWBXG effective interaction has been employed in the calculation of 2ββ-decay nuclear matrix elements (NMEs). We have tested the effective interaction by comparing the predicted spectroscopic properties, such as energy spectra and transition probabilities, with the available experimental data. The variation of cumulative NMEs with respect to the 1+ state energies of the intermediate nucleus is also studied, corresponding to 0+ g.s.→0+ g.s., 0+ g.s.→0+2, and 0+ g.s.→2+1 transitions between the parent and grand-daughter nuclei. The effective values of axial-vector coupling strength (gA eff) are calculated using the predicted NMEs and experimental half-lives for 0+ g.s.→0+ g.s. transitions. The extracted half-lives for 0+ g.s.→0+2, and 0+ g.s.→2+1 transitions using the shell-model predicted NMEs are consistent with the recent experimental data. The comparison of the shell-model predicted NMEs with previous NMEs available in the literature is discussed. Also, the computed branching ratios for the 2ββ decay of 76Ge and both the 2ββ and single-β decay of 96Zr are reported corresponding to the calculated gA eff values.
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.