Theory of hyperfine anomalies in muonic atoms

A. J. Freeman*, J. V. Mallow, J. P. Desclaux, M. Weinert

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


Negative muon spin precession experiments by Yamazaki et al. have found giant hyperfine anomalies in muonic atoms ranging from a few percent up to 36%. In order to understand their results, we present Breit interaction calculations based on atomic self-consistent unrestricted Dirac-Fock solutions which explicitly include all electrons and the negative muon. The Breit interaction results (including the relativistic correction for the bound muon g-factor), vary from near zero for μ-O/N to -5% for μ-Pd/Rh; this latter is much larger than the calculated muonic or nuclear Bohr-Weisskopf anomalies and much smaller than the 36% measured value. For μ}Ni/Co we find a calculated range of results (depending on assumed electronic configurations) of -2.3 to -2.7% in excellent agreement with recent measurements of the Yamazaki group. This excellent agreement in μ}Ni/Co provides strong support for the earlier suggestions that the discrepancy in the case of μ-Pd/Rh is due to experimental factors.

Original languageEnglish (US)
Pages (from-to)865-872
Number of pages8
JournalHyperfine Interactions
Issue number1-4
StatePublished - Jan 1984

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Nuclear and High Energy Physics
  • Condensed Matter Physics
  • Physical and Theoretical Chemistry


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