State-by-state calculations for all channels of the exotic $(μ^-,e^-)$ conversion process

Details State-by-state calculations for all channels of the exotic $(μ^-,e^-)$ conversion process State-by-state calculations for all channels of the exotic $(μ^-,e^-)$ conversion process

1997-04-11

arxiv.org/abs/nucl-th/9704021v1

Phys.Rev.C56:526-534,1997

Physics

Nuclear Physics

Nuclear Theory

16 pages (LATEX-file) including 6 tables, 2 PostScript Figures included (Fig1(a)-(d), Fig2(a)-(b)), Refs. 35. Phys. Rev. C, ac

Scientific paper

10.1103/PhysRevC.56.526

The coherent and incoherent channels of the neutrinoless muon to electron conversion in nuclei, $\mu^- (A,Z) \to e^- (A,Z)^*$, are studied throughout the periodic table. The relevant nuclear matrix elements are computed by explicitly constructing all possible final nuclear states in the context of the quasi-particle RPA. The obtained results are discussed in view of the existing at PSI and TRIUMF experimental data for $^{48}Ti$ and $^{208}Pb$ and compared with results obtained by: (i) shell model sum-rule techniques (ii) nuclear matter mapped into nuclei via a local density approximation and (iii) earlier similar calculations.

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