Two neutrino positron double beta decay of $^{106}$Cd for $0^+ \to 0^+$ transition

Details Two neutrino positron double beta decay of $^{106}$Cd for $0^+ \to 0^+$ transition Two neutrino positron double beta decay of $^{106}$Cd for $0^+ \to 0^+$ transition

2004-05-25

arxiv.org/abs/nucl-th/0405066v1

Eur.Phys.J. A23 (2005) 235-242

Physics

Nuclear Physics

Nuclear Theory

20 pages

Scientific paper

10.1140/epja/i2004-10084-x

The two neutrino positron double beta decay of $^{106}$Cd for 0$^{+} \to $ 0$^{+}$ transition has been studied in the Hartree-Fock-Bogoliubov model in conjunction with the summation method. In the first step, the reliability of the intrinsic wave functions of $^{106}$Cd and $^{106}$Pd nuclei has been tested by comparing the theoretically calculated results for yrast spectra, reduced $B(E2$:$0^{+}\to 2^{+})$ transition probabilities, quadrupole moments $Q(2^{+})$ and gyromagnetic factors $g(2^{+})$ with the available experimental data. In the second step, the nuclear transition matrix element $M_{2\nu}$ and the half-life $T_{1/2}^{2\nu}$ for 0$^{+}\to$ 0$^{+}$ transition have been calculated with these wave functions. Moreover, we have studied the effect of deformation on nuclear transition matrix element M$_{2\nu}.$

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