Abstract
In muonic atoms with deformed nuclei resonances between muonic and nuclear states produce a fine structure in the X-ray spectrum. The nuclear quadrupole moment can be determined from an analysis of this fine structure. The usual calculations of the resonances in muonic atoms are improved: 1. The muonic states are not treated as stationary. 2. The electromangetic interaction between the muon and the nucleus also contains the magnetic forces and the retardation of the electromagnetic field. 3. The widths of the muonic transitions (E1, E2 and M1) are calculated without usingSiegert's theorem. All corrections are found to be small in most cases. The experimental intensity ratios for muonic Tl, Pb and Bi are discussed in detail. A new type of resonance is proposed for muonic Pb and Bi in order to explain their anomalous intensity ratios.
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The work reported here is part of a Ph.D. thesis, submitted to the University of Heidelberg.
This work was suggested by Prof. J.H.D.Jensen. Many discussions with him and with Prof. Dr. H.A.Weidenmüller helped me to formulate and to solve the problems. I would like to thank them very much. Dr. H.L.Acker from Freiburg calculated and tabulated the muonic wave functions. I am also very grateful to Prof. Dr. H.L.Anderson and to Dr. G.Backenstoss for communicating me experimental results before publication. The numerical calculations were performed on the Siemens 2002 of the Astronomischen Recheninstitut, Heidelberg.
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Hüfner, J. Muonic atoms in the neighbourhood of lead. Z. Physik 190, 81–98 (1966). https://doi.org/10.1007/BF01340349
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DOI: https://doi.org/10.1007/BF01340349