Nuclear shadowing in DIS at moderately small xB
J. Raufeisen1 - A.V. Tarasov1,2 - O.O. Voskresenskaya2
1 Institut für Theoretische Physik, Philosophenweg 19, D-69120 Heidelberg, Germany
2 Joint Institute for Nuclear Research, Dubna, 141980 Moscow Region, Russia
Received: 7. January 1999 / Revised version: 22 February 1999 Communicated by A. Schäfer
Abstract
In the rest frame of the nucleus, shadowing is due to hadronic fluctuations of the
incoming virtual photon, which interact with the nucleons. We expand these fluctuations in a basis
of eigenstates of the interaction and take only the 
component of the hadronic structure of
the photon into account. We use a representation in which the -pair has a definite
transverse size. Starting from the Dirac equation, we develop a path integral approach that allows
to sum all multiple scattering terms and accounts for fluctuations of the transverse size of the
pair, as well as for the finite lifetime of the hadronic state. First numerical results show that
higher order scattering terms have a strong influence on the total cross section
. The aim of this paper is to give a detailed derivation of the formula
for the total cross section.
PACS
11.80.Fv Approximations (eikonal approximation, variational principles, etc.) -
11.80.La Multiple scattering -
13.60.Hb Total and inclusive cross sections (including deep-inelastic processes) -
25.20.Dc Photon absorption and scattering
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