Shellmodel matrix elements for muonic processes in light nuclei
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1999The nuclear shellmodel is used to calculate the nuclear matrix elements for the ordinary muon capture and the muonelectron conversion. In the ordinary muon capture, various residual interactions are applied, and the results are compared to experimental data on capture rates and angular correlations. The renormalized singleparticle transition operators are introduced and applied in 28Si and 20Ne. These renormalized operators yield results, which are in better agreement with the predictions coming from the partially conserved axial vector hypothesis than the results obtained with bare operators. The renormalization effects are found to be interactionindependent. Otherwise, different interactions can give very contradictory results. The singleparticle matrix elements with WoodsSaxon radial wave functions are compared to ones obtained with harmonic oscillator radial wave functions. The changes in the capture rates and angular correlation parameters are generally small, and they do not solve the discrepancies between the theory and experiment. The leptonflavor violating muonelectron conversion in 27Al and 48Ti is used to restrict the leptonflavor violating parameters that are included in the extensions of the standard model. Various possible reaction mechanisms are investigated, and channelbychannel calculations are carried out. The results show that the groundstate to groundstate transition dominates in the two nuclei considered. This increases the possibility of the detection of the muonelectron conversion. In addition, we have separately calculated the vector and axial vector contributions as well as isoscalar and isovector contributions.
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ISBN
9789513994969Contains publications
 Artikkeli I: Siiskonen, T., Suhonen, J., Kuz'min, V. A., and Tetereva, T. V. (1998). Shellmodel study of partial muoncapture rates in light nuclei. Nuclear Physics A, 635(4), 446469. DOI: 10.1016/S03759474(98)001821
 Artikkeli II: Siiskonen, T., Suhonen, J., and HjorthJensen, M. (1999). Towards the solution of the CP/CA anomaly in shellmodel calculations of muon capture. Physical Review C, 59, R1839(R). DOI: 10.1103/PhysRevC.59.R1839
 Artikkeli III: Siiskonen, T., Suhonen, J., and HjorthJensen, M. (1999). Shellmodel effective operators for muon capture in ^{20}Ne. Journal of Physics G: Nuclear and Particle Physics, 25(8). DOI: 10.1088/09543899/25/8/102
 Artikkeli IV: Siiskonen, T., Suhonen, J. and Kosmas, T. S. (1999). New limits for leptonflavor violation from the μ−→e− conversion in ^{27}Al. Physical Review C, 60, 062501(R). DOI: 10.1103/PhysRevC.60.062501
 Artikkeli V: Siiskonen, T., Suhonen, J. and Kosmas, T. S. (2000). Realistic nuclear matrix elements for the leptonflavor violating μ−→e− conversion in ^{27}Al and ^{48}Ti. Physical Review C, 62, 035502. DOI: 10.1103/PhysRevC.62.035502
 Artikkeli VI: Kortelainen, M., Aunola, M., Siiskonen, T. and Suhonen, J. (2000). Meanfield effects on muoncapture observables. Journal of Physics G: Nuclear and Particle Physics, 26(2). DOI: 10.1088/09543899/26/2/103
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