Unitarity and the BFKL Pomeron

Details Unitarity and the BFKL Pomeron Unitarity and the BFKL Pomeron

1994-08-05

arxiv.org/abs/hep-ph/9408245v1

Nucl.Phys. B437 (1995) 107-126

Physics

High Energy Physics

High Energy Physics - Phenomenology

25 pages,report CU-TP-640

Scientific paper

10.1016/0550-3213(94)00480-3

{\narrower\smallskip High Energy onium-onium scattering is calculated as a function of impact parameter in the one and two pomeron exchange approximation. Difficulties with using the multiple scattering series to unitarize single pomeron exchange at high energy are noted. An operator formalsim which sums all numbers of pomeron exchange is given. A toy model which has a similar operator structure at high energy as QCD is presented and the S-matrix is evaluated. Estimates of the energies and impact parameters at which blackness occurs in onium-onium scattering are given. It is emphased that the problem of unitarity in high energy onium-onium scattering can be solved in a purely perturbative context, with a non-running coupling if the onium is heavy enough.\smallskip}

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