$\gamma \gamma$ decay as a probe of neutrinoless $\beta \beta$ decay nuclear matrix elements

Abstract

We study double gamma ($\gamma \gamma$) decay nuclear matrix elements (NMEs) for a wide range of nuclei from titanium to xenon, and explore their relation to neutrinoless double-beta ($0\nu \beta \beta$) NMEs. To favor the comparison, we focus on double-magnetic dipole transitions in the final $\beta \beta$ nuclei, in particular the $\gamma \gamma$ decay of the double isobaric analog of the initial $\beta \beta$ state into the ground state. For the decay with equal-energy photons, our large-scale nuclear shell model results show a good linear correlation between the $\gamma \gamma$ and $0\nu \beta \beta$ NMEs. Our analysis reveals that the correlation holds for $\gamma \gamma$ transitions driven by the spin or orbital angular momentum due to the dominance of zero-coupled nucleon pairs, a feature common to $0\nu \beta \beta$ decay. Our shell-model findings point out the potential of future $\gamma \gamma$ decay measurements to constrain $0\nu \beta \beta$ NMEs, which are key to answer fundamental physics questions based on $0\nu \beta \beta$ experiments.

arXiv comment6 pages, 4 figures, matches published version

References in corpus (49)

• The Shell Model as Unified View of Nuclear Structure
• Leptogenesis
• Double Beta Decay, Majorana Neutrinos, and Neutrino Mass
• Neutrinoless Double-Beta Decay: Status and Prospects
• Status and Future of Nuclear Matrix Elements for Neutrinoless Double-Beta Decay: A Review
• New effective interaction for $pf$-shell nuclei and its implications for the stability of the $N$=$Z$=28 closed core
• Evolution of shell structure in exotic nuclei
• Disassembling the Nuclear Matrix Elements of the Neutrinoless double beta Decay
• Shell model study of the isobaric chains A=50, A=51 and A=52
• Discrepancy between experimental and theoretical $\beta$-decay rates resolved from first principles
• $0\nu \beta \beta$ and $2\nu \beta \beta$ nuclear matrix elements in the interacting boson model with isospin restoration
• The influence of pairing on the nuclear matrix elements of the neutrinoless double beta decays
• The effective g_A in the pf-shell
• Search for Neutrinoless Double-Beta Decay with the Complete EXO-200 Dataset
• Non-Empirical Interactions for the Nuclear Shell Model: An Update
• Chiral two-body currents in nuclei: Gamow-Teller transitions and neutrinoless double-beta decay
• Mean field and beyond description of nuclear structure with the Gogny force: A review
• Improved Limit on Neutrinoless Double-Beta Decay in ${}^{130}$Te with CUORE
• The NUMEN project: NUclear Matrix Elements for Neutrinoless double beta decay
• Large-Scale Calculations of the Double-Beta Decay of 76Ge, 130Te, 136Xe, and 150Nd in the Deformed Self-Consistent Skyrme Quasiparticle Random-Phase Approximation
• Ab Initio Treatment of Collective Correlations and the Neutrinoless Double Beta Decay of ${}^{48}$Ca
• Shell Model description of the beta beta decay of 136Xe
• Shell model predictions for ${}^{124}$Sn double-beta decay
• First Results from the AMoRE-Pilot neutrinoless double beta decay experiment
• A Search for Neutrinoless Double-Beta Decay in ${}^{76}$Ge with 26 kg-yr of Exposure from the MAJORANA DEMONSTRATOR
• Ab initio neutrinoless double-beta decay matrix elements for 48Ca, 76Ge, and 82Se
• Neutrinoless $\beta \beta$ decay mediated by the exchange of light and heavy neutrinos: The role of nuclear structure correlations
• The calculation of the neutrinoless double-beta decay matrix element within the realistic shell model
• Shell model studies of the ${}^{130}Te$ neutrinoless double-beta decay
• Double Gamow-Teller transitions and its relation to neutrinoless $\beta \beta$ decay
• Novel shell-model analysis of the ${}^{136}$Xe double beta decay nuclear matrix elements
• A monopole-optimized effective interaction for tin isotopes
• Coupled-cluster calculations of neutrinoless double-beta decay in ${}^{48}$Ca
• Large-scale shell-model analysis of the neutrinoless $\beta \beta$ decay of ${}^{48}$Ca
• Chiral Effective Field Theory Calculations of Weak Transitions in Light Nuclei
• Heavy-ion double-charge-exchange and its relation to neutrinoless double-beta decay
• $0\nu \beta \beta$ nuclear matrix elements, neutrino potentials and $\mathrm{SU}(4)$ symmetry
• What can we learn from neutrinoless double beta decay experiments?
• Ab initio calculation of the contact operator contribution in the standard mechanism for neutrinoless double beta decay
• Impact of the leading-order short-range nuclear matrix element on the neutrinoless double-beta decay of medium-mass and heavy nuclei
• Constraining the 0ν2β matrix elements by nuclear structure observables
• Testing the importance of collective correlations in neutrinoless $\beta \beta$ decay
• Neutrinoless Double Beta Decay in Light of SNO Salt Data
• Physical features of strength of isoscalar pairing interaction determined by relation between double charge change and double pair transfer
• Electromagnetic character of the competitive $\gamma \gamma /\gamma$-decay from ${}^{137\mathrm{m}}$Ba
• Benchmarking ${}^{136}$Xe Neutrinoless $\beta \beta$ Decay Matrix Element Calculations with the ${}^{138}\mathrm{Ba}(p,t)$ Reaction
• Neutrino nuclear response and photo nuclear reaction
• Beta Decay in Medium-Mass Nuclei with the In-Medium Similarity Renormalization Group
• Double charge-exchange phonon states

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• Toward the discovery of matter creation with neutrinoless double-beta decay
• Beyond-mean-field approaches for nuclear neutrinoless double beta decay in the standard mechanism
• Towards Precise and Accurate Calculations of Neutrinoless Double-Beta Decay: Project Scoping Workshop Report
• Neutrinoless $\beta \beta$-decay nuclear matrix elements from two-neutrino $\beta \beta$-decay data
• Ab initio studies of double Gamow-Teller transition and its correlation with neutrinoless double beta decay
• Correlations Between Neutrinoless Double-Beta, Double Gamow-Teller and Double-Magnetic Decays in the pnQRPA Framework
• Neutrinoless double beta decay rates in the presence of light sterile neutrinos
• Muon Capture on ${}^6$Li, ${}^{12}$C, and ${}^{16}$O from $AbInitio$ Nuclear Theory
• Interplay between non-interfering neutrino exchange mechanisms and nuclear matrix elements in $0\nu \beta \beta$ decay
• Electromagnetic transitions from isobaric analogue states to study nuclear matrix elements for double beta decays and astro-neutrino inverse beta decays
• Benchmarking nuclear matrix elements of $0\nu \beta \beta$ decay with high-energy nuclear collisions
• Nucleon Electric Dipole Moments in Paramagnetic Molecules through Effective Field Theory