Predicting the neutrinoless double-β-decay matrix element of 136Xe using a statistical approach

Horoi, M.; Neacsu, A.; Stoica, S.

doi:10.1103/physrevc.107.045501

Predicting the neutrinoless double-β-decay matrix element of ¹³⁶Xe using a statistical approach

Journal Article · Mon Apr 17 00:00:00 EDT 2023 · Physical Review. C

DOI:https://doi.org/10.1103/physrevc.107.045501· OSTI ID:2422172

^[1]; Neacsu, A. ^[2]; ^[3]

Central Michigan Univ., Mount Pleasant, MI (United States); OSTI
International Center for Advanced Training and Research in Physics (CIFRA) (Romania); Horia Hulubei National Institute for Physics and Nuclear Engineering, Magurele (Romania)
International Center for Advanced Training and Research in Physics (CIFRA) (Romania)

Calculation of the nuclear matrix elements (NMEs) for double-β decay is of paramount importance for guiding experiments and for analyzing and interpreting the experimental data, especially for the search of the neutrinoless double β decay mode (0v⁢ββ). However, there are currently still large differences between the NME values calculated by different methods, hence a quantification of their uncertainties is very much required. Here, in this paper, we propose a statistical analysis of 0⁢v⁢ββ NME for the ¹³⁶Xe isotope, based on the interacting shell model, but using three independent effective Hamiltonians, emphasizing the range of the NMEs' most probable values and its correlations with observables that can be obtained from the existing nuclear data. Consequently, we propose a common probability distribution function for the 0⁢vββ NME, which has a range of (1.55–2.65) at 90% confidence level, with a mean value of 1.99 and a standard deviation of 0.37.

View Accepted Manuscript (DOE)

Research Organization:: Central Michigan Univ., Mount Pleasant, MI (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0022538

OSTI ID:: 2422172

Journal Information:: Physical Review. C, Journal Name: Physical Review. C Journal Issue: 4 Vol. 107; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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