Self-Consistent Dispersion-Theoretic Electromagnetic Scattering Amplitudes
- 15 December 1971
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 4 (12), 3684-3693
- https://doi.org/10.1103/physrevd.4.3684
Abstract
A procedure for calculating self-consistent electromagnetic scattering amplitudes when there are bound states, applied in a previous paper to the electron-positron system, is extended to include spin-0-spin-0 and spin-0-spin- elastic scattering. The second-order amplitudes which result have the correct double-spectral functions and are cutoff-independent, analytic, and crossing-symmetric. The Regge trajectory functions which are required by self-consistency imply the usual Coulomb bound-state spectrum with reduced mass and recoil corrections, and the appropriate Regge asymptotic behavior. The correspondence between the amplitudes obtained by this procedure and by other means is discussed briefly.
Keywords
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