Abstract
Comparative analyses of the nuclear matrix elements (NMEs) related to the 0νβ+β+ decay of 106Cd to the ground state of 106Pd and the ordinary muon capture (OMC) in 106Cd are performed. This is the first time the OMC NMEs are studied for a nucleus decaying via positron-emitting/electron-capture modes of double beta decay. All the present calculations are based on the proton-neutron quasiparticle random-phase approximation with large no-core single-particle bases and realistic two-nucleon interactions. The effect of the particle-particle interaction parameter gpp of pnQRPA on the NMEs is discussed. In the case of the OMC, the effect of different bound-muon wave functions is studied.
Highlights
Neutrinoless double beta (0νββ) decay is a process in which a nucleus (A, Z), with mass number A and proton number Z, decays to a daughter nucleus with two more or two less protons
In [13], we extended these studies to 0νβ−β− decays of medium-heavy and heavy nuclei by computing the average matrix elements corresponding to the Ordinary muon capture (OMC) transitions to the intermediate nuclei of 0νβ−β− decays up to some 50 MeV using the proton-neutron quasiparticle random-phase approximation (pnQRPA) formalism
In order to investigate the possibility of using the OMC as a probe of 0νββ decay, we have studied the 0νβ+β+-decay matrix elements and the average OMC matrix elements of 106Cd in the pnQRPA framework in detail
Summary
Neutrinoless double beta (0νββ) decay is a process in which a nucleus (A, Z), with mass number A and proton number Z, decays to a daughter nucleus with two more or two less protons. Large mass of the captured muon allows highly-forbidden transitions and high excitation energies of the final states These features make the OMC a promising probe for the 0νββ decay. It was found that there was a clear correlation between the energy-distributed OMC rates to 1+ states and the energy-based decomposition of the NMEs for the 2νβ−β− decays of the sd-shell nuclei 36Ar, 46Ca, and 48Ca. In [13], we extended these studies to 0νβ−β− decays of medium-heavy and heavy nuclei by computing the average matrix elements corresponding to the OMC transitions to the intermediate nuclei of 0νβ−β− decays up to some 50 MeV using the pnQRPA formalism. This is the first time when such calculations are being done on the positron-decay side of the nuclear chart
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