Exploring the Lipatov equation

Properties of the Lipatov equation for the small x behaviour in deep inelastic scattering are explored. In particular, the effect of imposing upper and lower cutoffs on the transverse momentum integral in the equation is analysed. The lower cutoff, needed to avoid integration over momenta where the...

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Bibliographic Details
Published in:Physics letters. B 1992-02, Vol.276 (1), p.196-202
Main Authors: Collins, J.C, Landshoff, P.V
Format: Article
Language:English
Subjects:
Atomic and molecular physics
Classical and quantum physics: mechanics and fields
Electronic structure of atoms, molecules and their ions: theory
Exact sciences and technology
General theory of scattering
Other topics in the theory of the electronic structure of atoms, molecules and their ions
Physics
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Summary:Properties of the Lipatov equation for the small x behaviour in deep inelastic scattering are explored. In particular, the effect of imposing upper and lower cutoffs on the transverse momentum integral in the equation is analysed. The lower cutoff, needed to avoid integration over momenta where the gluon propagators are nonperturbative, does not change the output power. Imposing both a lower and an upper cutoff, so as to take account of kinematic limitations at subasymptotic values of Q 2, has an important effect even at HERA energies. This will make it difficult to separate the perturbative pomeron from the nonperturbative one seen already in soft hadronic collisions.
ISSN:0370-2693
1873-2445
DOI:10.1016/0370-2693(92)90563-J