Global calculation of two-neutrino double-$\beta$ decay within the finite amplitude method in nuclear density functional theory
| Autor: | Hinohara, Nobuo, Engel, Jonathan |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Phys. Rev. C 105, 044314 (2022) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevC.105.044314 |
| Popis: | Two-neutrino double-beta ($2\nu\beta\beta$) decay has been used to constrain the neutron-proton part of effective interactions, which in turn is used to compute the nuclear matrix elements for neutrinoless double-beta decay, the observation of which would have important consequences for fundamental physics. We carefully examine $2\nu\beta\beta$ matrix elements within the proton-neutron quasiparticle random-phase approximation with nuclear energy density functionals. We work with functionals that are fit globally to single-beta-decay half-lives and charge-exchange giant-resonance energies, but not to $2\nu\beta\beta$ half-lives themselves, to evaluate the $2\nu\beta\beta$ nuclear matrix elements for all important nuclei, including those whose half-lives have not yet been measured. Such a comprehensive evaluation in large model spaces without configuration truncation requires an efficient computational scheme; we employ a double contour integration within the finite amplitude method. The results generally reproduce the nuclear matrix element extracted from half-lives well, without the use of any of those half-lives in the fitting procedure. We present predictions of the matrix elements in a total of 27 nuclei with half-lives that are still unmeasured. Comment: 16 pages, 5 figures |
| Databáze: | arXiv |
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