Proton-Proton Near-Forward Hard Elastic Scattering

Michael G. Sotiropoulos; George Sterman

doi:10.1016/0550-3213(94)90285-2

paper

Proton-Proton Near-Forward Hard Elastic Scattering

arXiv:hep-ph/9401237 · doi:10.1016/0550-3213(94)90285-2

Abstract

We calculate the leading twist contribution to near-forward proton-proton (and proton-antiproton) elastic scattering with large momentum transfer, in the multiple scattering (Landshoff) mechanism. The amplitude in the near-forward region is dominated by singlet exchange for all three valence quark-quark scatterings. We assume the existence of a hard singlet quark-quark amplitude, which we estimate to be $O (α_{s}^{2} / t)$ . For a three-quark state whose transverse size is less than $1/ Λ_{QCD}$ , Sudakov resummation accounts for both approximate $\d σ^{pp}/ \d t \sim t^{-8}$ at moderate $t$ , and $\d σ^{pp}/ \d t \sim t^{-10}$ at larger $t$ . The transition from approximate $t^{- 8}$ to $t^{- 10}$ behavior is strongly correlated with the transverse size of the valence three-quark state in the proton.

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On near forward high energy scattering in QCD

Proton-Proton Near-Forward Hard Elastic Scattering

Abstract

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