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

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

doi:10.1103/physrevc.106.054302

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

Journal Article · Wed Nov 02 00:00:00 EDT 2022 · Physical Review. C

DOI:https://doi.org/10.1103/physrevc.106.054302· OSTI ID:2422171

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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)

Neutrinoless double-β-decay (0⁢vββ) 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. Here, in this paper, we propose a statistical analysis of the ⁴⁸Ca 0v⁢ββ 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 0⁢vββ NME, which has a range of (0.45–0.95) at 90% confidence level, and a mean value of 0.68.

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:: 2422171

Journal Information:: Physical Review. C, Journal Name: Physical Review. C Journal Issue: 5 Vol. 106; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
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