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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