Deformation effects and neutrinoless positron $\beta \beta$ decay of ${}^{96}$Ru, ${}^{102}$Pd, ${}^{106}$Cd, ${}^{124}$Xe, ${}^{130}$Ba and ${}^{156}$Dy isotopes within Majorona neutrino mass mechanism

Abstract

The $({\beta }^{+}{\beta }^{+}{)}_{0\nu }$ and $(\epsilon {\beta }^{+}{)}_{0\nu }$ modes of ${}^{96}$Ru, ${}^{102}$Pd, ${}^{106}$Cd, ${}^{124}$Xe, ${}^{130}$Ba and ${}^{156}$Dy isotopes are studied in the Projected Hartree-Fock-Bogoliubov framework for the $0^{+}\to 0^{+}$ transition. The reliability of the intrinsic wave functions required to study these decay modes has been established in our earlier works by obtaining an overall agreement between the theoretically calculated spectroscopic properties, namely yrast spectra, reduced $B(E2$:$0^{+}\to 2^{+})$ transition probabilities, quadrupole moments $Q(2^{+})$ and gyromagnetic factors $g(2^{+})$ and the available experimental data in the parent and daugther even-even nuclei. In the present work, the required nuclear transition matrix elements are calculated in the Majorana neutrino mass mechanism using the same set of intrinsic wave functions as used to study the two neutrino positron double-$\beta$ decay modes. Limits on effective light neutrino mass $<m_{\nu }>$ and effective heavy neutrino mass $<M_N>$ are extracted from the observed limits on half-lives $T_{1/2}^{0\nu }(0^{+}\to 0^{+})$ of $({\beta }^{+}{\beta }^{+}{)}_{0\nu }$ and $(\epsilon {\beta }^{+}{)}_{0\nu }$ modes. We also investigate the effect of quadrupolar correlations vis-a-vis deformation on NTMEs required to study the $({\beta }^{+}{\beta }^{+}{)}_{0\nu }$ and $(\epsilon {\beta }^{+}{)}_{0\nu }$ modes.

arXiv comment12 Pages, 3 figure

References in corpus (23)

• Double Beta Decay, Majorana Neutrinos, and Neutrino Mass
• Search for neutrinoless double beta decay with enriched 76Ge in Gran Sasso 1990-2003
• Disassembling the Nuclear Matrix Elements of the Neutrinoless double beta Decay
• Anatomy of nuclear matrix elements for neutrinoless double-beta decay
• The influence of pairing on the nuclear matrix elements of the neutrinoless double beta decays
• Additional Nucleon Current Contributions to Neutrinoless Double Beta Decay
• The 0nbb-decay nuclear matrix elements with self-consistent short-range correlations
• Neutrinoless double beta decay from a modern perspective
• Nuclear matrix elements of neutrinoless double beta decay with improved short-range correlations
• Short-range correlations and neutrinoless double beta decay
• Neutrino-less Double Electron Capture - a tool to research for Majorana neutrinos
• Two-neutrino double beta decay of 76Ge within deformed QRPA: A new suppression mechanism
• A deformed QRPA formalism for single and two-neutrino double beta decay
• Two-neutrino double beta decay of deformed nuclei within QRPA with realistic interaction
• Multi-Majoron Modes for Neutrinoless Double-Beta Decay
• Search for ${\beta }^{+}$EC and ECEC processes in ${}^{112}$Sn and ${\beta }^{-}{\beta }^{-}$ decay of ${}^{124}$Sn to the excited states of ${}^{124}$Te
• Nuclear deformation and neutrinoless double-$\beta$ decay of ${}^{94,96}$Zr, ${}^{98,100}$Mo, ${}^{104}$Ru, ${}^{110}$Pd, ${}^{128,130}$Te and ${}^{150}$Nd nuclei in mass mechanism
• Neutrinoless Double Beta Decay in Heavy Deformed Nuclei
• Nuclear deformation and the two neutrino double-βdecay in ^{124,126}Xe,^{128,130}Te, ^{130,132}Ba and ^{150}Nd isotopes
• Two neutrino double $\beta$ decay of 94v$\le A\le$110 nuclei for $0^{+}\to 0^{+}$ transition
• Two neutrino positron double beta decay of ${}^{106}$Cd for $0^{+}\to 0^{+}$ transition
• The $0^{+}\to 0^{+}$ positron double-$\beta$ decay with emission of two neutrinos in the nuclei ${}^{96}$Ru, ${}^{102}$Pd, ${}^{106}$Cd and ${}^{108}$Cd
• Description of double beta decay within continuum-QRPA

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• Detection prospects for the second-order weak decays of ${}^{124}$Xe in multi-tonne xenon time projection chambers
• Uncertainties in nuclear transition matrix elements for ${\beta }^{+}{\beta }^{+}$ and $\epsilon {\beta }^{+}$ modes of neutrinoless positron double-$\beta$ decay within PHFB model
• Investigation of pair-correlated $0^{+}$ states in ${}^{134}$Ba via the ${}^{136}$Ba($p,t$) reaction
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