Abstract

The formulae for the amplitudes of Delbruck scattering given in a previous paper are manipulated and much simpler expressions for them are derived having the form of a sum of twofold and threefold integrals. The integrands are rather compact and contain only rational, irrational and logarithmic functions. In this preliminary work we consider only the amplitudea+− for circularly polarized photons and we give numerical results for photon energy equal to 10.83 MeV and scattering angle in the range from 50° to 150°. For what concerns the real part of the amplitudes, these preliminary results allow one to resolve the discrepancy between the numerical results previously obtained by Ehlotzky and Sheppey and those more recently given by Papatzacos. In fact our results agree with those by Papatzacos and this seems to confirm that the fixed-angle dispersion relation used by Ehlotzky and Sheppey for the calculation of the real parts is incorrect.

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