Challenges for a reliable shell model description of the neutrinoless double beta decay matrix elements

Journal Article · Fri Dec 16 04:00:00 EST 2011 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3671037· OSTI ID:22003978

Horoi, Mihai ^[1]

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1. Department of Physics, Central Michigan University, Mount Pleasant, Michigan, 48859 (United States)

Assuming that the neutrinos are Majorana particles and the neutrinoless double beta (0{nu}{beta}{beta}) decay is observed, a reliable 0{nu}{beta}{beta} matrix element is necessary to decide the neutrino mass hierarchy and the minimum neutrino mass. Many nuclear structure techniques, including the shell model, are presently used to calculate these matrix elements. In the last few years one could see a slow convergence of these results, but not yet at a level of 20 several shell model effective interactions and varying other parameters, finding results in a range that spans about 20In this contribution we describe challenges for obtaining reliable shell model 0{nu}{beta}{beta} matrix elements, with emphasis to {sup 76}Ge and {sup 82}Se decays.

• OSTI ID: 22003978
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1417; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
DOUBLE BETA DECAY
GERMANIUM 76
MATRIX ELEMENTS
NEUTRINOS
NUCLEAR STRUCTURE
NUCLEON-NUCLEON INTERACTIONS
NUMERICAL ANALYSIS
REST MASS
SELENIUM 82
SHELL MODELS