$\cal CPT$-invariant two-fermion Dirac equation with extended hyperfine operator

Details $\cal CPT$-invariant two-fermion Dirac equation with extended hyperfine operator $\cal CPT$-invariant two-fermion Dirac equation with extended hyperfine operator

1999-10-08

arxiv.org/abs/hep-ph/9910281v1

J.Phys. B33 (2000) 1617

Physics

High Energy Physics

High Energy Physics - Phenomenology

Scientific paper

10.1088/0953-4075/33/8/311

For the S-states of muonium and positronium, the hyperfine shifts to the order $\alpha^6$ of a recently derived two-fermion equation with explicit $\cal CPT$-invariance are checked against the results of a nonrelativistic reduction, and the leading $\alpha^8$ shifts are calculated. An additional hyperfine operator is discovered which can milden the singularity for $r\to 0$ of the Dirac hyperfine operator, such that the resulting extended operator can be used nonperturbatively. The binding correction to magnetic moments is mentioned.

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