Nuclear Shadowing in DIS at Moderately Small $x_B$

Details Nuclear Shadowing in DIS at Moderately Small $x_B$ Nuclear Shadowing in DIS at Moderately Small $x_B$

1998-12-16

arxiv.org/abs/hep-ph/9812398v3

Eur.Phys.J. A5 (1999) 173-182

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, 1 figure, uses svjour, svepj, minor misprints corrected, results unchanged

Scientific paper

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 interaction and take only the $q\bar q$ component of the hadronic structure of the photon into account. We use a representation in which the $q\bar q$-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 hep-ph/9807211 have shown that higher order scattering terms have a strong influence on the total cross section $\sigma^{\gamma^*A}_{tot}$. The aim of this paper is to give a detailed derivation of the formula for the total cross section.

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