Neutrinoless double positron decay and positron emitting electron capture in the interacting boson model

Abstract

Neutrinoless double-$\beta$ decay is of fundamental importance for determining the neutrino mass. Although double electron (${\beta }^{-}{\beta }^{-}$) decay is the most promising mode, in very recent years interest in double positron (${\beta }^{+}{\beta }^{+}$) decay, positron emitting electron capture ($EC{\beta }^{+}$), and double electron capture ($ECEC$) has been renewed. We present here results of a calculation of nuclear matrix elements for neutrinoless double-${\beta }^{+}$ decay and positron emitting electron capture within the framework of the microscopic interacting boson model (IBM-2) for ${}^{58}$Ni, ${}^{64}$Zn, ${}^{78}$Kr, ${}^{96}$Ru, ${}^{106}$Cd, ${}^{124}$Xe, ${}^{130}$Ba, and ${}^{136}$Ce decay. By combining these with a calculation of phase space factors we calculate expected half-lives.

arXiv admin note: text overlap with arXiv:1301.4203

References in corpus (6)

• Phase space factors for double-$\beta$ decay
• Nuclear matrix elements for double-β decay
• $0\nu \beta \beta$ and $2\nu \beta \beta$ nuclear matrix elements, QRPA, and isospin symmetry restoration
• Limits on the neutrino mass from neutrinoless double-$\beta$ decay
• Phase space factors for ${\beta }^{+}{\beta }^{+}$ decay and competing modes of double-$\beta$ decay
• Origin of a sensitive dependence of calculated $\beta \beta$-decay amplitudes on the particle-particle residual interaction

Cited by in corpus (13)

• $0\nu \beta \beta$ and $2\nu \beta \beta$ nuclear matrix elements in the interacting boson model with isospin restoration
• Average and recommended half-life values for two neutrino double beta decay
• A Next-Generation Liquid Xenon Observatory for Dark Matter and Neutrino Physics
• Analysis of Light Neutrino Exchange and Short-Range Mechanisms in $0\nu \beta \beta$ Decay
• Neutrinoless double electron capture
• Phase space factors and half-life predictions for Majoron emitting ${\beta }^{-}{\beta }^{-}$ decay
• Search for double beta decay of ${}^{136}$Ce and ${}^{138}$Ce with HPGe gamma detector
• Search for Neutrinoless ${\beta }^{+}EC$ Decay of ${}^{120}$Te with CUORE-0
• Detection prospects for the second-order weak decays of ${}^{124}$Xe in multi-tonne xenon time projection chambers
• New limits on $2\epsilon$, $\epsilon {\beta }^{+}$ and $2{\beta }^{+}$ decay of ${}^{136}$Ce and ${}^{138}$Ce with deeply purified cerium sample
• Evaluation of radon adsorption efficiency values in xenon with activated carbon fibers
• Improved limits on ${\beta }^{+}$EC and ECEC processes in ${}^{74}$Se
• Neutrinoless $\beta \beta$-Decay in DCEQTDA