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arXiv · 1202.3511

${2ν}$ Double Beta Decay within the Relativistic QRPA

Cláudio De Conti·Francisco Krmpotić·Brett Vern Carlson
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Abstract

We perform a self-consistent relativistic QRPA (RQRPA) calculation of $2ν\b\b$-decay based on relativistic BCS (RBCS) mean field theory results for odd-odd intermediate nuclei $^{48}$Sc, $^{76}$As, $^{82}$Br, $^{100}$Tc, $^{128}$I, and $^{130}$I. The RBCS equations that resemble the non-relativistic ones are constructed from a Dirac-Gorkov variational functional. We use the parameter set $NL1$ for the $σ$, $ω$ and $ρ$ mesons. The RQRPA equations are solved for the residual $π+ρ$ interaction by employing the same parameters used in the RBCS for the latter meson, and experimental values for the pion and nucleon. The RQRPA results for the ${2ν}\b\b$ matrix elements are similar to those obtained within the QRPA and the shell model.

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Cláudio De Conti, Francisco Krmpotić, Brett Vern Carlson. 2012-02-16. ${2ν}$ Double Beta Decay within the Relativistic QRPA. https://arxiv.org/abs/1202.3511

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