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Beyond-mean-field approaches for nuclear neutrinoless double beta decay in the standard mechanism
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Beyond-mean-field approaches for nuclear neutrinoless double beta decay in the standard mechanism
abstract
Nuclear weak decays provide important probes to fundamental symmetries in nature. A precise description of these processes in atomic nuclei requires comprehensive knowledge on both the strong and weak interactions in the nuclear medium and on the dynamics of quantum many-body systems. In particular, an observation of the hypothetical double beta decay without emission of neutrinos ($0\nu\beta\beta$) would unambiguously demonstrate the Majorana nature of neutrinos and the existence of the lepton-number-violation process. It would also provide unique information on the ordering and absolute scale of neutrino masses. The next-generation tonne-scale experiments with sensitivity up to $10^{28}$ years after a few years of running will probably provide a definite answer to these fundamental questions based on our current knowledge on the nuclear matrix element (NME), the precise determination of which is a challenge to nuclear theory. Beyond-mean-field approaches have been frequently adapted for the study of nuclear structure and decay throughout the nuclear chart for several decades. In this review, we summarize the status of beyond-mean-field calculations of the NMEs of $0\nu\beta\beta$ decay assuming the standard mechanism of an exchange of light Majorana neutrinos. The challenges and prospects in the extension and application of beyond-mean-field approaches for $0\nu\beta\beta$ decay are discussed.
Forward citations
Cited by 8 Pith papers
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Ab initio correlations between neutrinoless and two-neutrino double-beta decays in $^{48}$Ca
Ab initio IM-NCCI calculations on 48Ca establish strong linear correlations between 0νββ and 2νββ NMEs across 34 chiral Hamiltonians, yielding a constrained M^{0ν} prediction of 1.30-1.65 after incorporating experimen...
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Ab initio correlations between neutrinoless and two-neutrino double-beta decays in $^{48}$Ca
Ab initio IM-NCCI calculations on 48Ca establish linear correlations between 0νββ and 2νββ NMEs from 34 chiral Hamiltonians, constraining M^{0ν} to 1.30-1.65 using experimental 2ν data after applying a fitted quenchin...
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Statistical uncertainty quantification for multireference covariant density functional theory
Bayesian sampling of ~1M EDF parameter sets combined with subspace-projected CDFT shows that statistical uncertainties bring deformed nuclei 150Nd and 150Sm into agreement with data while near-spherical 136Xe and 136B...
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Neutrinoless double-beta decay of the $\Delta^-$ resonance
Chiral EFT derivation of the Δ⁻ → p e⁻ e⁻ amplitude including long-range neutrino loops, short-range counterterms, pion-mass dependence for collinear electrons, and a long-range prediction in the degenerate Δ-nucleon ...
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Benchmarking projected generator coordinate method for nuclear Gamow-Teller transitions
A minimal extension of the quantum-number projected generator coordinate method is benchmarked against exact solutions for Gamow-Teller transitions in Ca and Ti isotopes and the 2νββ decay of 48Ca.
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Sensitivity of neutrinoless double beta decays from a combined analysis of ground and excited states
A multi-channel analysis of ground and excited state 0νββ transitions could enhance the discovery potential of next-generation liquid xenon experiments.
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Sensitivity of neutrinoless double beta decays from a combined analysis of ground and excited states
Combined analysis of 0νββ decays to ground and excited states can significantly enhance experimental sensitivity depending on NME predictions.
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Multireference covariant density functional theory for shape coexistence and isomerism in $^{43}$S
MR-CDFT calculations for 43S identify the ground state as dominated by a prolate intruder 1qp configuration, the 7/2-1 as a high-K prolate isomer, and the 3/2-2 as an oblate-prolate admixture.
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