Abstract
The multiple-scattering diagram, calculated to lowest order in QCD, fits well topp elastic scattering data at larget. It is shown that higherorder QCD corrections seem to spoil this agreement: calculated as far as the insertion of two additional gluons, they give an exponential factor. This factor differs in detail from some previous conjectures. For colour-singlet bound states of quarks, the exponential factor is independent of whether or not the gluon mass is zero, unlike the case of simple quark-quark scatterin. Two régimes are considered:t ands of the same order, andt large but much less thans. Exponentiation seems to occur in both cases, but in a non-abelian theory more diagrams are important for the latter case.
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The wave functions include the propagators attached to the pion vertices; these provide sufficient damping to give this result, which would therefore apply even if the pions were pointlike.
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Landshoff, P.V., Pritchard, D.J. Higher-order QCD corrections to exclusive processes: The multiple scattering mechanism. Z. Phys. C - Particles and Fields 6, 69–75 (1980). https://doi.org/10.1007/BF01427923
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DOI: https://doi.org/10.1007/BF01427923