Nonmesonic weak decay of charmed hypernuclei

We present a study of the nonmesonic weak decay (NMWD) of charmed hypernuclei using a relativistic formalism. We work within the framework of the independent particle shell model and employ a (π, K) one-meson-exchange model for the decay dynamics. We implement a fully relativistic treatment of nuclear recoil. Numerical results are obtained for the one-neutron-induced transition NMWD rates of the {}_{{{Λ }}_c⁺}¹²N. The effect of nuclear recoil is sizable and goes in the direction to decrease the nuclear decay rate. We found that the NMWD decay rate of {}_{{{Λ }}_c⁺}¹²{{N}} is of the same order of magnitude as the partial decay rate for the corresponding mesonic decay {{{Λ }}}_c⁺\to {{Λ }}+{π }⁺, suggesting the feasibility of experimental detection of such heavy-flavor nuclear processes.