Nuclear structure dependence of the coherent (μ-,e-) conversion matrix elements

Abstract

Coherent rates for the neutrinoless muon to electron conversion. (μ-, e-) in the presence of nuclei, are studied throughout the periodic table. The relevant ground state to ground state transition matrix elements are obtained in the context of the quasi-particle RPA. The results are discussed in view of the existing experimental data extracted at TRIUMF and PSI for 48Ti and 208Pb nuclei and compared with: (i) the single particle shell model results calculated with a determinantal ground state wave function and (ii) the results deduced in a local density approximation.