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
Abstract
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}more »
- Authors:
-
- Institute of Theoretical Physics, University of Tuebingen, D-72076 Tuebingen (Germany)
- Division of Theoretical Physics, University of Ioannina GR-451 10 Ioannina (Greece)
- Publication Date:
- OSTI Identifier:
- 545044
- Resource Type:
- Journal Article
- Journal Name:
- Physical Review, C
- Additional Journal Information:
- Journal Volume: 56; Journal Issue: 5; Other Information: PBD: Nov 1997
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 66 PHYSICS; MUONS; CONVERSION; ELECTRONS; QUASI PARTICLES; RANDOM PHASE APPROXIMATION; CONTAMINATION; EXCITATION; SINGLE-PARTICLE MODES; RENORMALIZATION; SPECTRA; WAVE FUNCTIONS; TITANIUM 48; FLAVOR; LEAD 208; BRANCHING RATIO
Citation Formats
Schwieger, J, Faessler, A, and Kosmas, T S. 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. United States: N. p., 1997.
Web. doi:10.1103/PhysRevC.56.2830.
Schwieger, J, Faessler, A, & Kosmas, T S. 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. United States. https://doi.org/10.1103/PhysRevC.56.2830
Schwieger, J, Faessler, A, and Kosmas, T S. 1997.
"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". United States. https://doi.org/10.1103/PhysRevC.56.2830.
@article{osti_545044,
title = {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},
author = {Schwieger, J and Faessler, A and Kosmas, T S},
abstractNote = {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}},
doi = {10.1103/PhysRevC.56.2830},
url = {https://www.osti.gov/biblio/545044},
journal = {Physical Review, C},
number = 5,
volume = 56,
place = {United States},
year = {Sat Nov 01 00:00:00 EST 1997},
month = {Sat Nov 01 00:00:00 EST 1997}
}