Abstract
The rate of the neutrinoless double electron capture (0vECEC) decay with a resonance condition depends sensitively on the mass difference between the initial and final nuclei of decay. This is where the JYFLTRAP Penning-trap measurements at the JYFL become invaluable in estimation of the half-lives of these decays. In this work the resonant 0vECEC decay is discussed from the point of view of its theoretical aspects, in particular regarding the resonance condition and the involved nuclear matrix elements (NME). The associated decay amplitudes are derived and the calculations of the NMEs by the microscopic manybody approach of the multiple-commutator model are outlined. The resonant 0vECEC decays of 74Ge and 136Ce are discussed as applications of the theory framework.
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Suhonen, J. (2012). Nuclear matrix elements for the resonant neutrinoless double electron capture. In: Äystö, J., Eronen, T., Jokinen, A., Kankainen, A., Moore, I.D., Penttilä, H. (eds) Three decades of research using IGISOL technique at the University of Jyväskylä. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5555-0_19
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