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

Abstract

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${}_{2\nu }.$

20 pages

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Cited by in corpus (11)

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• New limits on the ${\beta }^{+}$EC and ECEC processes in ${}^{120}$Te
• Uncertainties in nuclear transition matrix elements for ${\beta }^{+}{\beta }^{+}$ and $\epsilon {\beta }^{+}$ modes of neutrinoless positron double-$\beta$ decay within PHFB model
• FSQP nuclear matrix elements for two neutrino double beta decays
• Deformed shell model results for two neutrino positron double beta decay of ${}^{74}$Se
• Quadrupolar correlations and deformation effect on two neutrino $\epsilon {\beta }^{+}$ and $\epsilon \epsilon$ modes of ${}^{156}$Dy isotope
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