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$ν$ $β^{-}β^{-}$ half-lives of $^{128,130}$Te, and $^{150}$Nd isotopes, and 2$νβ^{+}β^{+}$, 2$ν$ $β^{+}EC$ and 2$ν$ $ECEC$ 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_{2ν} $ is confirmed.

19 pages