the role of the continuum and the spurious 1- transitions in coherent muon electron conversion rates

OSVALDO CIVITARESE; T. S. KOSMAS; WAMBACH, J.; PAPAKONSTANTINOU, P.

Czechoslovak Journal of Physics

Año: 2006 vol. 56 p. 481 - 481

0011-4626

By using the Continuum RPA (CRPA) method, the incoherent transition strength of the exotic $\mu^- - e^- $ conversion in the $^{208}$Pb and $^{40}${Ca} nuclei is investigated. The question whether excited nuclear states lying high in the continuum give an important contribution to the incoherent rate is addressed. The admixture of spurious components in the rate coming from $1^-$ excitations is investigated in detail by using the self-consistent CRPA with Skyrme interactions as well as a less consistent version and by employing two ways to remove the spurious strength: the use of effective operators or simply the exclusion of the spurious state appearing close to zero energy. In all cases, the correction achieved is quite large