Influence of the hexadecapole deformation on the two neutrino double-$\be ta $ decay
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The two neutrino double beta $(β^{-}β^{-})_{2ν}$ decay of $ ^{94,96}$Zr, $^{98,100}$Mo, $^{104}$Ru, $^{110}$Pd, $^{128,130}$Te and $^{150}$Nd nuclei for the $0^{+}\to 0^{+}$ transition is studied in the PHFB model in conjunction with the pairing plus quadrupole-quadrupole plus hexadecapole-hexadecapole effective two-body interaction and the effect of the latter is investigated on the calculation of nuclear transition matrix elements $M_{2ν}$. The reliability of the intrinsic wave functions of parent and daughter nuclei involved in the $(β^{-}β^{-})_{2ν}$ decay of above mentioned nuclei is established by obtaining an overall agreement between a number of theoretically calculated spectroscopic properties, namely the yrast spectra, reduced $B(E2$:$0^{+}\to 2^{+})$ transition probabilities, static quadrupole moments $Q(2^{+})$ and $g$-factors $g(2^{+})$ and the available experimental data. The effect of deformation on $M_{2ν}$ is also investigated to inveterate its inverse relation with nuclear deformation.
12 pages
12 pages