Model-independent interpretation of the dynamic hyperfine effect in muonic atoms with an application toOs192

The Ford-Wills-Barrett model-independent interpretation of muonic-atom transition energies is generalized to the dynamic hyperfine effect. Parameters necessary for the analysis of the most important case (quadrupole excitation by the $2p$ states) are calculated for all nuclei. These results are applied to new data for ${}_{}{}^{192}{}_{}{}^{}\mathrm{Os}$. The sign of the quadrupole moment of the first excited $2^{+}$ state is found to be negative; a previously reported measurement of its magnitude (-0.5 b) is inconsistent with the present experiment. Under the assumption that the transition charge is located near the nuclear surface, a new measurement of the quadrupole moment ($Q_{2^{+}}=-1.0\mathrm{}$ b) is obtained. The equivalent quadrupole radius of the $0^{+}$ → $2^{+}$ transition is found to be 7.1 fm.