${2\nu}$ Double Beta Decay within the Relativistic QRPA
  We perform a self-consistent relativistic QRPA (RQRPA) calculation of $2\nu\b\b$-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 $\sigma$, $\omega$ and $\rho$ mesons. The RQRPA equations are solved for the residual $\pi+\rho$ 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 ${2\nu}\b\b$ matrix elements are similar to those obtained within the QRPA and the shell model. 
Cl\'audio De Conti and Francisco Krmpoti\'c and Brett Vern Carlson
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