Why the constituent interchange model does not predict the dimensional counting rule to any finite order in QCD |
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| Authors: | C. J. Burrows |
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| Affiliation: | 1. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, CB3 9EW, Cambridge, UK
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| Abstract: | We demonstrate that the constitutent interchange diagram for nucleon nucleon elastic scattering contains a pinch singularity. This means that it predicts that (frac{{dsigma }}{{dt}} sim s^{ - 9} fleft( theta right)) for high energy elastic scattering, at least to any finite order in QCD. We also show how the dimensional counting rule may perhaps be recovered by summing a suitable infinite series of graphs. |
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