Statistical analysis for the neutrinoless double- β -decay matrix element of Ca 48

M. Horoi, A. Neacsu, S. Stoica

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Abstract

Neutrinoless double-β-decay (0νββ) nuclear matrix elements (NME) are the object of many theoretical calculation methods, and are very important for analysis and guidance of a large number of experimental efforts. However, there are large discrepancies between the NME values provided by different methods. In this paper we propose a statistical analysis of the Ca48 0νββ NME using the interacting shell model, emphasizing the range of the NME probable values and their correlations with observables that can be obtained from the existing nuclear data. Based on this statistical analysis with three independent effective Hamiltonians, we propose a common probability distribution function for the 0νββ NME, which has a range of (0.45-0.95) at 90% confidence level, and a mean value of 0.68.

Original languageEnglish
Article number054302
JournalPhysical Review C
Volume106
Issue number5
DOIs
StatePublished - Nov 2022

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