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DOE OSTI · 2422172

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

Horoi, M.·Neacsu, A.·Stoica, S.
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Abstract

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 136 Xe 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.

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73 NUCLEAR PHYSICS AND RADIATION PHYSICSbeta decayelectroweak interactions in nuclear physicsneutrinoless double beta decaynuclear tests of fundamental interactionsshell model

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Horoi, M., Neacsu, A., Stoica, S.. 2023-04-17. Predicting the neutrinoless double-β-decay matrix element of 136 Xe using a statistical approach. https://doi.org/10.1103/physrevc.107.045501

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