Deformed shell model results for two neutrino positron double beta decay of ${}^{84}$Sr

Abstract

Half-lives $T_{1/2}^{2\nu }$ for two neutrino positron double beta decay modes ${\beta }^{+}$EC/ECEC are calculated for ${}^{84}$Sr, a nucleus of current experimental interest, within the framework of the deformed shell model based on Hartree-Fock states employing a modified Kuo interaction in (${}^2{p}_{3/2}$, ${}^1{f}_{5/2}$, ${}^2{p}_{1/2}$, ${}^1{g}_{9/2}$) space. For a reasonable description of the spectra of ${}^{84}$Sr and ${}^{84}$Kr and to generate allowed GT strengths, the single particle energies of the proton and neutron ${}^1{g}_{9/2}$ orbitals, relative to the ${}^2{p}_{3/2}$ orbital energy, are chosen to be (3.5 MeV, 1.5 MeV) for both ${}^{84}$Sr and ${}^{84}$Rb and (1.5 MeV, 1.5 MeV) for ${}^{84}$Kr. With this, the calculated half-lives for the ${\beta }^{+}$EC and ECEC modes are $\sim 10^{26}$yr and $\sim 4\times 10^{24}$yr respectively.

arXiv comment4 figures, re-orginized the previous version, accepted for poublication in International Journal of Modern Physics E

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Cited by in corpus (1)

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