Phase space factors for ${\beta }^{+}{\beta }^{+}$ decay and competing modes of double-$\beta$ decay

Abstract

A complete and improved calculation of phase space factors (PSF) for $2\nu {\beta }^{+}{\beta }^{+}$ and $0\nu {\beta }^{+}{\beta }^{+}$ decay, as well as for the competing modes $2\nu EC{\beta }^{+}$, $0\nu EC{\beta }^{+}$, and $2\nu ECEC$, is presented. The calculation makes use of exact Dirac wave functions with finite nuclear size and electron screening and includes life-times, single and summed positron spectra, and angular positron correlations.

13 pages, 14 figures. arXiv admin note: text overlap with arXiv:1209.5722

References in corpus (7)

• Phase space factors for double-$\beta$ decay
• Nuclear matrix elements for double-β decay
• Limits on the neutrino mass from neutrinoless double-$\beta$ decay
• Precise half-life values for two neutrino double beta decay
• Double-beta decay Q values of 130Te, 128Te, and 120Te
• Majorana solution of the Thomas-Fermi equation
• Q value and half-life of double-electron capture in Os-184

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