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UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS Guest
2024-11-23 17:50 |
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Conference: Bucharest University Faculty of Physics 2022 Meeting
Section: Nuclear and Elementary Particles Physics
Title:
Reliability of Shell Model Hamiltonians in Double-Beta Decay
Authors:
Ștefan GALIN (1), Andrei NEACȘU (2,3)
Affiliation:
1) Faculty of Physics, University of Bucharest, Romania
2) International Center for Advanced Training and Research in Physics (CIFRA), Magurele, Romania
3) Department of Theoretical Physics, Horia Hulubei National Institute of Physics and Nuclear Engineering, Bucharest-Magurele, Romania
E-mail
stefan.galin@s.unibuc.ro
neandrei@gmail.com
Keywords:
Neutrinoless double beta decay, interacting shell model, effective Hamiltonians
Abstract:
The literature distinguishes between two types of double beta decay: two-neutrino double beta decay (2νββ) that has been measured in a dozen isotopes and neutrinoless double beta decay (0νββ) that has not yet been observed, but experimental limits on its half-life are available. In the 0νββ mode, the only leptons present in the final states would be the outgoing two electrons, thus violating the lepton number conservation. We make a statistical analysis of the 48Ca 0νββ nuclear matrix elements (NME) using the interacting shell model. Producing random variations in the limits of ±10% for the matrix elements of three effective Hamiltonian, we perform the calculations for several observables that can be obtained from the existing nuclear data. In the end, we search for the correlations between the 0νββ NME and these observables. To make a more general prediction for the 0νββ NME, we combine the probability distribution functions of all three Hamiltonians with equal weights, obtaining a range between 0.45 and 0.95 at 90% confidence level and a mean value of 0.68.
Acknowledgement:
Andrei Neacșu, Sabin Stoica and Mihai Horoi for guidance and many discussions.
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