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The European Physical Journal C

ISSN: 1434-6044 (printed version)
ISSN: 1434-6052 (electronic version)

Table of Contents

Abstract Volume 4 Issue 1 (1998) pp 85-91
DOI 10.1007/s100529800753

theoretical physics:
Evolution of the gluon density in $x$ with a running coupling constant

Mikhail Braun (a), Gian Paolo Vacca

Department of Physics, University of Bologna, Istituto Nazionale di Fisica Nucleare - Sezione di Bologna

Received: 10 June 1997 / Revised version: 20 August 1997 / Published online: 24 April 1998

Abstract. We describe the calculation of the evolution of the gluon density in $x$ from an initial value $x=x_{0}=0.01$ to smaller values, up to $x=10^{-8}$ in the hard pomeron formalism with a running coupling introduced on the basis of the bootstrap equation. The obtained gluon density is used to calculate the singlet part of the proton structure function. Comparison with experiment and the results following from the fixed coupling evolutio n is made.

(a) Permanent address: Dep. High-Energy Physics, University of St. Petersburg, 198904 St.Petersburg, Russia

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Online publication: June 10, 1998
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