Correlating the 0νββ-Decay Amplitudes of 136Xe with the Ordinary Muon Capture (OMC) Rates of 136Ba

The potential correlation between the ordinary muon capture (OMC) on 136Ba and 0νββ decay of 136Xe is explored. For this, we compute 0νββ-decay amplitudes for intermediate states in 136Cs below 1 MeV of excitation and for angular-momentum values J≤5 by using the proton–neutron quasiparticle random-phase approximation (pnQRPA) and nuclear shell model (NSM). We compare these amplitudes with the corresponding OMC rates, computed in a previous Universe article (Universe 2023, 9, 270) for the same energy and angular-momentum ranges. The obtained results suggest that an extension of the present analysis to a wider energy and angular-momentum region could be highly beneficial for probing the 0νββ-decay nuclear matrix elements using experimental data on OMC rates to intermediate states of 0νββ decays.