Nuclear deformation and the two neutrino double-βdecay in ^{124,126}Xe,^{128,130}Te, ^{130,132}Ba and ^{150}Nd isotopes

Abstract

The two neutrino double beta decay of ${}^{124,126}$Xe,${}^{128,130}$Te, ${}^{130,132}$Ba and ${}^{150}$Nd isotopes is studied in the Projected Hartree-Fock-Bogoliubov (PHFB) model. Theoretical 2$\nu$ ${\beta }^{-}{\beta }^{-}$ half-lives of ${}^{128,130}$Te, and ${}^{150}$Nd isotopes, and 2$\nu {\beta }^{+}{\beta }^{+}$, 2$\nu$ ${\beta }^{+}EC$ and 2$\nu$ $ECEC$ for ${}^{124,126}$Xe and ${}^{130,132}$Ba nuclei are presented. Calculated quadrupolar transition probabilities B(E2: $0^{+}\to 2^{+}$), static quadrupole moments and $g$ factors in the parent and daughter nuclei reproduce the experimental information, validating the reliability of the model wave functions. The anticorrelation between nuclear deformation and the nuclear transition matrix element $M_{2\nu }$ is confirmed.

19 pages

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