A Unitarity bound and the components of photon - proton interactions - INSPIRE

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A Unitarity bound and the components of photon - proton interactions

E. Gotsman
(
- Tel Aviv U. and
- DESY
)
,
E.M. Levin
(
- Tel Aviv U. and
- DESY and
- St. Petersburg, INP
)
,
U. Maor
(
- Tel Aviv U.
)

Jul, 1997

20 pages

Published in:

Eur.Phys.J.C 5 (1998) 303-315

e-Print:

hep-ph/9708275 [hep-ph]

DOI:

Report number:

TAUP-2443-97,
DESY-97-154

View in:

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Abstract: (arXiv)

We show how and why the small distance ("hard") interaction, calculable in perturbative QCD, provides a mass cutoff in Gribov's formula for photon-proton collisions. This enables us to find a new and more restrictive bound for this process,

\sigma(\gamma^{*}p)\leq C(ln 1/x)^{5/2}

.A simple model the published experimental data over a wide range of photon virtualities (

Q^2

) and energies (

W

), is developed. This model provides a quantitative way of evaluating the relative rate of the small and large distance contributions, in the different kinematic regions. The main results of the analysis are (i) that even at

Q^2 =0

and high energies the short distance contribution is not small, and it provides a possible explanation for the experimental rise of the photoproduction cross section; and (ii) at large values of

Q^2

, the long distance processes still contribute to the total cross section.

electron p: deep inelastic scattering
photon p: interaction
Froissart bound
unitarity
dispersion relation
hard scattering
total cross section: energy dependence
exchange: two-gluon
Feynman graph
total cross section: ratio

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