Abstract
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 language | English |
|---|---|
| Pages (from-to) | 865-872 |
| Number of pages | 8 |
| Journal | Hyperfine Interactions |
| Volume | 19 |
| Issue number | 1-4 |
| DOIs | |
| Publication status | Published - Jan 1984 |
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ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
- Nuclear and High Energy Physics
- Condensed Matter Physics
- Physics and Astronomy(all)
- Electronic, Optical and Magnetic Materials
Cite this
Theory of hyperfine anomalies in muonic atoms. / Freeman, Arthur J; Mallow, J. V.; Desclaux, J. P.; Weinert, M.
In: Hyperfine Interactions, Vol. 19, No. 1-4, 01.1984, p. 865-872.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Theory of hyperfine anomalies in muonic atoms
AU - Freeman, Arthur J
AU - Mallow, J. V.
AU - Desclaux, J. P.
AU - Weinert, M.
PY - 1984/1
Y1 - 1984/1
N2 - 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.
AB - 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.
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U2 - 10.1007/BF02066131
DO - 10.1007/BF02066131
M3 - Article
VL - 19
SP - 865
EP - 872
JO - Hyperfine Interaction
JF - Hyperfine Interaction
SN - 0304-3843
IS - 1-4
ER -