Conclusions
Unrestricted Dirac-Fock Theory is capable of obtaining magnetic interaction energies with high precision in ordinary and muonic atoms. The hyperfine anomalies thus obtained may be compared with those measured in muon spin-precession experiments. Although these experiments are generally carried out in solids, the measured anomalies can be compared directly with the Dirac-Fock calculations if care is taken that the muonic atom and the equivalent Z-1 atom are both at substitutional sites in the lattice so that solid state effects will cancel.
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Mallow, J.V., Desclaux, J.P., Freeman, A.J. et al. Relativistic self-consistent field theory for muonic atoms: The muonic hyperfine anomaly. Hyperfine Interact 8, 455–461 (1981). https://doi.org/10.1007/BF01037510
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DOI: https://doi.org/10.1007/BF01037510