Quasiparticle random phase approximation analysis of the double beta decay ofMo100to the ground state and excited states ofRu100

Abstract

The beta decay rate of the ${1}^{+}$ ground state of $^{100}\mathrm{Tc}$ to the ground and excited states of $^{100}\mathrm{Mo}$ and $^{100}\mathrm{Ru}$ has been calculated using a combination of the charge-conserving and charge-nonconserving modes of the quasiparticle random phase approximation theory. These results, as well as the calculated E2 decay properties of $^{100}\mathrm{Mo}$ and $^{100}\mathrm{Ru}$, are compared with data. In addition, the two-neutrino double beta decay rates of $^{100}\mathrm{Mo}$ to the ground state and excited states of $^{100}\mathrm{Ru}$ are evaluated and analyzed using available experimental data. For completeness, the neutrinoless double beta decay rate of $^{100}\mathrm{Mo}$ is calculated and used to extract the value of the effective neutrino mass and the parameters of a general weak-interaction Hamiltonian.