Phase space factors and half-life predictions for Majoron emitting ${\beta }^{-}{\beta }^{-}$ decay

Abstract

A complete calculation of phase space factors (PSF) for Majoron emitting $0\nu {\beta }^{-}{\beta }^{-}$ decay modes is presented. The calculation makes use of exact Dirac wave functions with finite nuclear size and electron screening and includes life-times, single electron spectra, summed electron spectra, and angular electron correlations. Combining these results with recent interacting boson nuclear matrix elements (NME) we make half-life predictions for the the ordinary Majoron decay (spectral index $n$=1). Furthermore, comparing theoretical predictions with the obtained experimental lower bounds for this decay mode we are able to set limits on the effective Majoron-neutrino coupling constant $⟨g_{ee}^M⟩$.

References in corpus (10)

• Phase space factors for double-$\beta$ decay
• $0\nu \beta \beta$ and $2\nu \beta \beta$ nuclear matrix elements in the interacting boson model with isospin restoration
• Nuclear matrix elements for double-β decay
• Limits on the neutrino mass from neutrinoless double-$\beta$ decay
• Average and recommended half-life values for two neutrino double beta decay
• Limits on Majoron-emitting double-beta decays of Xe-136 in the KamLAND-Zen experiment
• Phase space factors for ${\beta }^{+}{\beta }^{+}$ decay and competing modes of double-$\beta$ decay
• Search for Majoron-emitting modes of double-beta decay of ${}^{136}$Xe with EXO-200
• Neutrinoless double electron capture
• Neutrinoless double positron decay and positron emitting electron capture in the interacting boson model

Cited by in corpus (11)

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• Final results of the Aurora experiment to study 2$\beta$ decay of ${}^{116}$Cd with enriched ${}^{116}$CdWO${}_4$ crystal scintillators
• Measurement of the $2\nu \beta \beta$ Decay Half-Life and Search for the $0\nu \beta \beta$ Decay of ${}^{116}$Cd with the NEMO-3 Detector
• Neutrinoless double-beta decay with massive scalar emission
• Main features of detectors and isotopes to investigate double beta decay with increased sensitivity
• Probing Beyond the Standard Model Physics with Double-beta Decays
• Search for Majoron-like particles with CUPID-0
• Nuclear matrix elements for Majoron emitting double-$\beta$ decay
• 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
• Scalarful double beta decay
• 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