A1 Journal article (refereed)
The first large-scale shell-model calculation of the two-neutrino double beta decay of 76Ge to the excited states in 76Se (2022)


Kostensalo, J., Suhonen, J., & Zuber, K. (2022). The first large-scale shell-model calculation of the two-neutrino double beta decay of 76Ge to the excited states in 76Se. Physics Letters B, 831, Article 137170. https://doi.org/10.1016/j.physletb.2022.137170


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Publication details

All authors or editors: Kostensalo, J.; Suhonen, J.; Zuber, K.

Journal or series: Physics Letters B

ISSN: 0370-2693

eISSN: 1873-2445

Publication year: 2022

Publication date: 16/05/2022

Volume: 831

Article number: 137170

Publisher: Elsevier

Publication country: Netherlands

Publication language: English

DOI: https://doi.org/10.1016/j.physletb.2022.137170

Publication open access: Openly available

Publication channel open access: Open Access channel

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/81809

Web address of parallel published publication (pre-print): https://arxiv.org/abs/2203.00109


Abstract

Large-scale shell-model calculations were carried out for the half-lives and branching ratios of the 2νββ decay of 76Ge to the ground state and the lowest three excited states 2+ 1 , 0+ 2 and 2+ 2 in 76Se. In total, the wave functions of more than 10,000 intermediate 1+ states in 76As were calculated in a three-step procedure allowing an efficient use of the available computer resources. In the first step, 250 lowest states, below some 5 MeV of excitation energy, were calculated without truncations within a full major shell 0 f5/2 − 1p − 0g9/2 for both protons and neutrons. The wave functions of the rest of the states, up to some 30 MeV, were computed in two more steps by introducing two consecutive stages of truncation. The computed magnitudes of the 2νββ nuclear matrix elements (including the value of the axial-vector coupling gA), |M2ν |g2 A, converged to the values 0.168g2 A, 1.2 × 10−3 g2 A, 0.121g2 A, and 3.1 × 10−3 g2 A for the 0+ g.s., 2+1 , 0+2 , and 2+2 states, respectively. Using up-to-date phase-space integrals, the corresponding branching ratios were derived to be 99.926%, 4.4×10−5%, 0.074% and 2.5×10−7%. The experimental half-life (1.926 ± 0.094) × 1021 yr of the ground-state transition was used to derive the value gA = 0.80 ± 0.01 for the axial-vector coupling, which is consistent with other shell-model calculations suggesting a quenched value of gA. Using this value of gA, predictions for the transition half-lives were derived.


Keywords: nuclear physics; particle physics; neutrinos

Free keywords: double-beta decay; 76Ge; excited states; shell model; matrix elements


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Last updated on 2022-16-06 at 13:35