Soft and hard pomeron in the structure function of the proton at low x and low Q**2

D'Alesio, U.; Metz, A.; Pirner, H.J.

doi:10.1007/s100529900096

Soft and hard pomeron in the structure function of the proton at low x and low Q**2

Nov, 1998

16 pages

Published in:

Eur.Phys.J.C 9 (1999) 601-609

e-Print:

hep-ph/9811349 [hep-ph]

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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 L\'opez and Yndur\'ain. 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

.

electron p: inclusive reaction
photon p: inclusive reaction
small-x
momentum transfer: low
p: structure function
pomeron
vacuum state: stochastic
cross section: dipole
quantum chromodynamics: nonperturbative
structure function: parametrization

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