Large-scale shell-model investigation of $2\nu$ECEC in ${}^{132}$Ba and ${}^{78}$Kr

Abstract

We present a theoretical investigation of two-neutrino double electron capture ($2\nu$ECEC) in ${}^{132}$Ba and ${}^{78}$Kr based on large-scale shell-model calculations. The nuclear matrix elements (NMEs) for the $2\nu$ECEC process in ${}^{132}$Ba and ${}^{78}$Kr are calculated using the SN100PN and GWBXG effective interactions, respectively. The reliability of the employed interactions is first examined through a comparison of the calculated and experimental spectroscopic properties of the parent, intermediate, and granddaughter nuclei involved in the decay. We also examine the cumulative contribution of the $2\nu$ECEC NME with respect to the $1^{+}$ state energies in the intermediate nuclei. The present results provide an updated and improved shell-model estimate of the $2\nu$ECEC NME and half-life for ${}^{78}$Kr relative to earlier studies, and a baseline theoretical prediction for ${}^{132}$Ba that may assist future experimental efforts in constraining this rare decay mode.

11 pages, 7 figures (Accepted for publication in EPJA)

References in corpus (25)

• Energy density functional study of nuclear matrix elements for neutrinoless $\beta \beta$ decay
• Value of the axial-vector coupling strength in $\beta$ and $\beta \beta$ decays: A review
• First observation of two-neutrino double electron capture in ${}^{124}$Xe with XENON1T
• Shell model studies of the ${}^{130}Te$ neutrinoless double-beta decay
• Final Result of the MAJORANA DEMONSTRATOR's Search for Neutrinoless Double-$\beta$ Decay in ${}^{76}$Ge
• Two-neutrino double beta decay of deformed nuclei within QRPA with realistic interaction
• Phase space factors for ${\beta }^{+}{\beta }^{+}$ decay and competing modes of double-$\beta$ decay
• Effects of three-nucleon forces and two-body currents on Gamow-Teller strengths
• Proton-Neutron Pairing Amplitude as a Generator Coordinate for Double-Beta Decay
• Nuclear Structure Aspects of Neutrinoless Double Beta Decay
• Shell-model calculation of ${}^{100}$Mo double-$\beta$ decay
• Double-Weak Decays of ${}^{124}$Xe and ${}^{136}$Xe in the XENON1T and XENONnT Experiments
• Comparative study of the double $K$-shell-vacancy production in single- and double-electron capture decay
• Neutrinoless $\beta \beta$-decay nuclear matrix elements from two-neutrino $\beta \beta$-decay data
• Search for Two-Neutrino Double Electron Capture of ${}^{124}$Xe with XENON100
• Theoretical mean field and experimental occupation probabilities in the double beta decay system 76Ge to 76Se
• Large-scale shell-model study of two-neutrino double-beta decay of ${}^{82}$Se, ${}^{94}$Zr, ${}^{108}$Cd, ${}^{124}$Sn, ${}^{128}$Te, ${}^{130}$Te, ${}^{136}$Xe, and ${}^{150}$Nd
• Two-neutrino $\beta \beta$ decay of ${}^{136}$Xe to the first excited $0^{+}$ state in ${}^{136}$Ba
• Two-neutrino double electron capture of ${}^{124}$Xe in the first LUX-ZEPLIN exposure
• Search for tri-nucleon decays of ${}^{76}$Ge in GERDA
• Systematic shell-model study of ${}^{99-129}$Cd isotopes and isomers in neutron-rich ${}^{127-131}$In isotopes
• Systematic shell-model analysis of $2\nu \beta \beta$ decay of ${}^{76}$Ge and ${}^{96}$Zr to the ground and excited states of ${}^{76}$Se and ${}^{96}$Mo
• Large-scale shell-model study of 2$\nu$ECEC process in ${}^{78}$Kr
• Many-body correlations as the origin of Gamow-Teller quenching in nuclear $\beta$-decay
• Two neutrino double-$\beta$ decay in the interacting boson-fermion model