Abstract.
We study inclusive electroproduction on the proton at low x and low \(Q^2\) using a soft and a hard Pomeron. The contribution of the soft Pomeron is based on the Stochastic Vacuum Model, in which a nonperturbative dipole-dipole cross section can be calculated by means of a gauge invariant gluon field strength correlator. To model the hard Pomeron exchange we phenomenologically extend the leading order evolution of a power-behaved structure function, \(F_2 \propto x^{- \lambda}\), proposed by López and Ynduráin. This extension allows to consider both the case \(Q^2 = 0\) and the region of higher \(Q^2\) on the basis of the same parametrization. A good simultaneous fit to the data on \(F_2\) and on the cross section \(\sigma_{\gamma p}\) of real photoproduction is obtained for \(\lambda=0.37\). With four parameters we achieve a \(\chi^2/\textrm{d.o.f.} = 0.98\) for 222 data points. In addition, we use our model of the inclusive \(\gamma^{\ast} p\) interaction to compute the longitudinal structure function \(F_L\).
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received: 6 December 1998 / Revised version: 19 April 1999 / Published online: 18 June 1999
Rights and permissions
About this article
Cite this article
D'Alesio, U., Metz, A. & Pirner, H. Soft and hard Pomeron in the structure function of the proton at low x and low \(Q^2\) . Eur. Phys. J. C 9, 601–609 (1999). https://doi.org/10.1007/s100530050508
Issue Date:
DOI: https://doi.org/10.1007/s100530050508