Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2010-06-18
Int.J.Mod.Phys.E20:1723-1733,2011
Physics
Nuclear Physics
Nuclear Theory
4 figures, re-orginized the previous version, accepted for poublication in International Journal of Modern Physics E
Scientific paper
10.1142/S021830131101957X
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 $^1g_{9/2}$ 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.
Kota V. K. B.
Sahu R.
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