Regular Article - Theoretical Physics
Nuclear matrix elements for the resonant neutrinoless double electron capture
Department of Physics, University of Jyväskylä, Jyväskylä, Post Office Box 35(YFL), FIN-40014, Finland
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Accepted: 25 February 2012
Published online: 19 April 2012
The rate of the neutrinoless double electron capture ( ECEC) 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 ECEC 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 many-body approach of the multiple-commutator model are outlined. The resonant ECEC decays of and are discussed as applications of the theory framework.
© SIF, Springer-Verlag Berlin Heidelberg, 2012