Two neutrino double $β$ decay of 94v$\leq A\leq $110 nuclei for $0^+ \to 0^+$ transition

Details Two neutrino double $β$ decay of 94v$\leq A\leq $110 nuclei for $0^+ \to 0^+$ transition Two neutrino double $β$ decay of 94v$\leq A\leq $110 nuclei for $0^+ \to 0^+$ transition

2004-05-27

arxiv.org/abs/nucl-th/0405074v1

Eur.Phys.J. A23 (2005) 223-234

Physics

Nuclear Physics

Nuclear Theory

25 pages, 3 figures

Scientific paper

10.1140/epja/i2004-10087-7

The two neutrino double beta decay of $ ^{94,96}$Zr$,^{98,100}$Mo$,^{104}$% Ru and $ ^{110}$Pd nuclei for $0^{+}\to 0^{+}$ transition is studied in the PHFB model in conjunction with the summation method. In the first step, the reliability of the intrinsic wave functions has been established by obtaining an overall agreement between a number of theoretically calculated spectroscopic properties and the available experimental data for $ ^{94,96}$% Zr$,^{94,96,98,100}$Mo, $^{98,100,104}$Ru, $^{104,110}$Pd and $^{110}$Cd isotopes. Subsequently, the PHFB wave functions of the above mentioned nuclei are employed to calculate the nuclear transition matrix elements $M_{2\nu}$ as well as half-lives $T{_{1/2}^{2\nu}}$. Further, we have studied the effects of deformation on the $M_{2\nu}$.

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