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

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.