Unitarity and the BFKL pomeron
Abstract
High energy oniumonium scattering is calculated as a function of impact parameter in the one and twopomeron exchange approximation. Difficulties with using the multiple scattering series to unitarize single pomeron exchange at high energy are noted. An operator formalism 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 Smatrix is evaluated. Estimates of the energies and impact parameters at which blackness occurs in oniumonium scattering are given. It is emphasized that the problem of unitarity in high energy oniumonium scattering can be solved in a purely perturbative context, with a nonrunning coupling if the onium is heavy enough.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1995
 DOI:
 10.1016/05503213(94)004803
 arXiv:
 arXiv:hepph/9408245
 Bibcode:
 1995NuPhB.437..107M
 Keywords:

 High Energy Physics  Phenomenology
 EPrint:
 25 pages,report CUTP640