arXiv:hep-th/9401052·v1·High Energy Physics — Theory

The spectrum and solutions of the generalized BFKL equation for total cross section

N.N. Nikolaev (1,2) · B.G. Zakharov (1,2) · V.R.Zoller (1,3) ((1) IKP(Theorie), KFA Juelich, Juelich, Germany, (2) L. D. Landau Institute for Theoretical Physics, Moscow, Russia, (3) Institute for Theoretical and Experimental Physics, Moscow, Russia)

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Abstract

The colour dipole cross section is the principal quantity in the lightcone $s$ -channel description of the diffractive scattering. Recently we have shown that the dipole cross section satisfies the generalized BFKL equation. In this paper we discuss properties and solutions of our generalized BFKL equation with allowance for the finite gluon correlation radius $R_{c}$ . The latter is introduced in a gauge invariant manner. We present estimates of the intercept of the pomeron and find the asymptotic form of the dipole cross section.

Comments: 18 pages, 3 figures upon request from kph154@zam001.zam.kfa-juelich.de