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Nuclear matrix elements (NMEs) for two-neutrino double-beta decay($2\nu\beta\beta$) are studied in the framework of relativistic nuclear energydensity functional (REDF). The properties of nuclei involved in the decay areobtained using the relativistic Hartree-Bardeen-Cooper-Schrieffer theory andrelevant nuclear transitions are described using the relativisticproton-neutron quasiparticle random phase approximation based on relativisticenergy density functional (REDF-QRPA). Three effective interactions have beenemployed, including density-dependent meson-exchange (DD-ME2) and pointcoupling interactions (DD-PC1 and DD-PCX), and pairing correlations aredescribed consistently both in $T=1$ and $T=0$ channels using a separablepairing interaction. The optimal values of $T=0$ pairing strength parameter$V_{0pp}$ are constrained by the experimental data on $\beta$-decay half lives.The $2\nu\beta\beta$ matrix elements and half-lives are calculated for severalnuclides experimentally known to undergo this kind of decay: $^{48}$Ca,$^{76}$Ge, $^{82}$Se, $^{96}$Zr, $^{100}$Mo, $^{116}$Cd, $^{124}$Xe,$^{128}$Te, $^{130}$Te, $^{136}$Xe and $^{150}$Nd. The model dependence of theNMEs and their sensitivity on $V_{0pp}$ is investigated, and the NMEs obtainedusing optimal values of $V_{0pp}$ are discussed in comparison to previousstudies. The results of the present work represent an important benchmark forthe future applications of the relativistic framework in studies ofneutrinoless double-beta decay.

Two-neutrino double-beta decay matrix elements based on relativistic nuclear energy density functional