Eight-component two-fermion equations

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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Revtex, accepted for publication in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.57.3268

An eight-component formalism is proposed for the relativistic two-fermion problem. In QED, it extends the applicability of the Dirac equation with hyperfine interaction to the positronium case. The use of exact relativistic two-body kinematics entails a CP-invariant spectrum which is symmetric in the total cms energy. It allows the extension of recent \alpha^6 recoil corrections to the positronium case, and implies new recoil corrections to the fine and hyperfine structures and to the Bethe logarithm.

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