Two-neutrino double electron capture on ${}^{124}$Xe based on an effective theory and the nuclear shell model

Abstract

We study the two-neutrino double electron capture on ${}^{124}$Xe based on an effective theory (ET) and large-scale shell model calculations, two modern nuclear structure approaches that have been tested against Gamow-Teller and double-beta decay data. In the ET, the low-energy constants are fit to electron capture and ${\beta }^{-}$ transitions around xenon. For the nuclear shell model, we use an interaction in a large configuration space that reproduces the spectroscopy of nuclei in this mass region. For the dominant transition to the ${}^{124}$Te ground state, we find half-lives $T_{1/2}^{2\nu \mathrm{ECEC}}=(1.3-18)\times 10^{22}$ y for the ET and $T_{1/2}^{2\nu \mathrm{ECEC}}=(0.43-2.9)\times 10^{22}$ y for the shell model. The ET uncertainty leads to a half-life almost entirely consistent with present experimental limits and largely within the reach of ongoing experiments. The shell model half-life range overlaps with the ET, but extends less beyond current limits. Our findings thus suggest that the two-neutrino double electron capture on ${}^{124}$Xe has a good chance to be discovered by ongoing or future experiments. In addition, we present results for the two-neutrino double electron capture to excited states of ${}^{124}$Te.

arXiv comment5 pages, 2 figures

References in corpus (57)

• First results from the LUX dark matter experiment at the Sanford Underground Research Facility
• The Shell Model as Unified View of Nuclear Structure
• Double Beta Decay, Majorana Neutrinos, and Neutrino Mass
• Search for Majorana Neutrinos near the Inverted Mass Hierarchy Region with KamLAND-Zen
• Status and Future of Nuclear Matrix Elements for Neutrinoless Double-Beta Decay: A Review
• Theory of neutrinoless double beta decay
• Disassembling the Nuclear Matrix Elements of the Neutrinoless double beta Decay
• The XENON100 Dark Matter Experiment
• $0\nu \beta \beta$ and $2\nu \beta \beta$ nuclear matrix elements in the interacting boson model with isospin restoration
• $0\nu \beta \beta$ and $2\nu \beta \beta$ nuclear matrix elements, QRPA, and isospin symmetry restoration
• First Results from CUORE: A Search for Lepton Number Violation via $0\nu \beta \beta$ Decay of ${}^{130}$Te
• Improved limit on neutrinoless double beta decay of ${}^{76}$Ge from GERDA Phase II
• Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory
• Search for Neutrinoless Double-Beta Decay with the Upgraded EXO-200 Detector
• Chiral two-body currents in nuclei: Gamow-Teller transitions and neutrinoless double-beta decay
• Large-scale nuclear structure calculations for spin-dependent WIMP scattering with chiral effective field theory currents
• Search for Zero-Neutrino Double Beta Decay in 76Ge with the Majorana Demonstrator
• Average and recommended half-life values for two neutrino double beta decay
• First observation of two-neutrino double electron capture in ${}^{124}$Xe with XENON1T
• XMASS detector
• Shell Model description of the beta beta decay of 136Xe
• Shell model predictions for ${}^{124}$Sn double-beta decay
• Nuclear structure aspects of spin-independent WIMP scattering off xenon
• Resonance enhancement of neutrinoless double electron capture
• First Result on the Neutrinoless Double Beta Decay of ${}^{82}$Se with CUPID-0
• Shell model studies of the ${}^{130}Te$ neutrinoless double-beta decay
• Novel shell-model analysis of the ${}^{136}$Xe double beta decay nuclear matrix elements
• Quantum Monte Carlo calculations of weak transitions in $A$=6--10 nuclei
• Phase space factors for ${\beta }^{+}{\beta }^{+}$ decay and competing modes of double-$\beta$ decay
• Demonstration of Single Barium Ion Sensitivity for Neutrinoless Double Beta Decay using Single Molecule Fluorescence Imaging
• Effects of three-nucleon forces and two-body currents on Gamow-Teller strengths
• Collectivity in the light Xenon isotopes: A shell model study
• The strength of the analog and Gamow-Teller giant resonances and hindrance of the 2νββ-decay rate
• Effective field theory for nuclear vibrations with quantified uncertainties
• Nuclear deformation and the two neutrino double-βdecay in ^{124,126}Xe,^{128,130}Te, ^{130,132}Ba and ^{150}Nd isotopes
• Search for $2\beta$ decay of ${}^{106}$Cd with enriched ${}^{106}$CdWO${}_4$ crystal scintillator in coincidence with four HPGe detectors
• Calculation of Gamow-Teller and Two-Neutrino Double-Beta Decay Properties for 130Te and 136Xe with a realistic nucleon-nucleon potential
• Effective Field Theory for Finite Systems with Spontaneously Broken Symmetry
• Comparative study of the double $K$-shell-vacancy production in single- and double-electron capture decay
• Effective theory for deformed nuclei
• Double beta decay searches of Xe-134, Xe-126 and Xe-124 with large scale Xe detectors
• Improved search for two-neutrino double electron capture on ${}^{124}$Xe and ${}^{126}$Xe using particle identification in XMASS-I
• Search for 2β decays of 96Ru and 104Ru by ultra-low background HPGe gamma spectrometry at LNGS: final results
• Uncertainties in constraining low-energy constants from ${}^3$H $\beta$ decay
• Effective theory for the non-rigid rotor in an electromagnetic field: Toward accurate and precise calculations of E2 transitions in deformed nuclei
• Search for Two-Neutrino Double Electron Capture of ${}^{124}$Xe with XENON100
• Gamow-Teller and double-beta decays of heavy nuclei within an effective theory
• Limit on the Radiative Neutrinoless Double Electron Capture of ${}^{36}$Ar from GERDA Phase I
• Search for two-neutrino double electron capture on ${}^{124}$Xe with the XMASS-I detector
• Effective field theory for triaxially deformed nuclei
• Effective Field Theory of Emergent Symmetry Breaking in Deformed Atomic Nuclei
• New Limits on Double Electron Capture of ${}^{40}$Ca and ${}^{180}$W
• Measuring Double-Electron Capture with Liquid Xenon Experiments
• Effective field theory for vibrations in odd-mass nuclei
• A search for the radiative neutrinoless double electron capture of ${}^{58}$Ni
• Rotational constants of multi-phonon bands in an effective theory for deformed nuclei
• Effective field theory for collective rotations and vibrations of triaxially deformed nuclei

Cited by in corpus (20)

• Nuclear effective field theory: status and perspectives
• Toward the discovery of matter creation with neutrinoless double-beta decay
• A Next-Generation Liquid Xenon Observatory for Dark Matter and Neutrino Physics
• First observation of two-neutrino double electron capture in ${}^{124}$Xe with XENON1T
• Double-Weak Decays of ${}^{124}$Xe and ${}^{136}$Xe in the XENON1T and XENONnT Experiments
• Neutrinoless $\beta \beta$-decay nuclear matrix elements from two-neutrino $\beta \beta$-decay data
• Neutrinoless double-beta decay from an effective field theory for heavy nuclei
• Detection prospects for the second-order weak decays of ${}^{124}$Xe in multi-tonne xenon time projection chambers
• Two-neutrino double-beta decay matrix elements based on relativistic nuclear energy density functional
• Two-neutrino double electron capture of ${}^{124}$Xe in the first LUX-ZEPLIN exposure
• Theoretical analysis and predictions for the double electron capture of ${}^{124}$Xe
• Two-neutrino $\beta \beta$ decay of ${}^{136}$Xe to the first excited $0^{+}$ state in ${}^{136}$Ba
• Sensitivity of the NEXT experiment to Xe-124 double electron capture
• Measurements and models of enhanced recombination following inner-shell vacancies in liquid xenon
• Effective field theories for collective excitations of atomic nuclei
• Nuclear matrix elements calculation for $0\nu \beta \beta$ decay of ${}^{124}$Sn using nonclosure approach in nuclear shell model
• Large-scale shell-model study of 2$\nu$ECEC process in ${}^{78}$Kr
• Neutrinoless $\beta \beta$-Decay in DCEQTDA
• Large-scale shell-model investigation of $2\nu$ECEC in ${}^{132}$Ba and ${}^{78}$Kr
• Electroluminescence yield in pure krypton