Detailed study of the incoherent {mu}{sup {minus}}{r_arrow}e{sup {minus}} conversion rate: Elimination of spurious contaminations from the 1{sup {minus}} contribution
- Institute of Theoretical Physics, University of Tuebingen, D-72076 Tuebingen (Germany)
- Division of Theoretical Physics, University of Ioannina GR-451 10 Ioannina (Greece)
The incoherent matrix elements of the exotic ({mu}{sup {minus}},e{sup {minus}}) conversion in nuclei process are studied in detail for a set of nuclei throughout the periodic table in the context of the quasiparticle random phase approximation (RPA). The contaminations, usually inserted in the 1{sup {minus}} RPA excitation modes (the most important incoherent {mu}{r_arrow}e conversion channel), are removed by explicitly constructing the purely spurious center-of-mass state. We found that mostly the lowest-lying 1{sub 1}{sup {minus}} state is affected by the use of non-self-consistent single-particle energies and a truncated model space in the RPA. To a good approximation we can regard this state as fully spurious and treat the other states as the physical ones. The elimination of the spuriousness requires a different renormalization of the interaction. This allows us to reproduce the excitation spectrum, needed to calculate reliably the incoherent matrix elements of the {mu}{r_arrow}e process, with realistic forces (Bonn potential) which cannot be achieved with the contaminated wave functions. We focus on the investigation of the incoherent rate of {sup 48}Ti, from which the best upper limit for the flavor number violation has been extracted, and {sup 208}Pb, which is currently used in the SINDRUM II experiment at PSI. {copyright} {ital 1997} {ital The American Physical Society}
- OSTI ID:
- 545044
- Journal Information:
- Physical Review, C, Vol. 56, Issue 5; Other Information: PBD: Nov 1997
- Country of Publication:
- United States
- Language:
- English
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