Abstract
The decay rate of the 2\ensuremath{\nu} double beta decay is calculated. The effects of pairing, static quadrupole deformation, spin-isospin polarization, and the ${\ensuremath{\Delta}}_{33}$ isobar admixtures on the nuclear matrix elements are studied and the relation of the 2\ensuremath{\nu} \ensuremath{\beta}\ensuremath{\beta} rate and the ${\ensuremath{\beta}}^{\mathrm{\ensuremath{-}}}$ and ${\ensuremath{\beta}}^{+}$ strength is stressed. In agreement with other calculations, we predict a faster decay rate than has been observed experimentally in $^{82}\mathrm{Se}$, $^{130}\mathrm{Te}$, and $^{150}\mathrm{Nd}$.
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