2020 Impact factor 3.043
Hadrons and Nuclei


Eur. Phys. J. A 11, 345-356 (2001)

Long-range Coulomb forces in DIS: missed radiative corrections?

B.Z. Kopeliovich1, 2, 3, A.V. Tarasov1, 2, 3 and O.O. Voskresenskaya3

1  Max-Planck Institut für Kernphysik, Postfach 103980, 69029 Heidelberg, Germany
2  Institut für Theoretische Physik der Universität, 93040 Regensburg, Germany
3  Joint Institute for Nuclear Research, Dubna, 141980 Moscow Region, Russia

Boris.Kopeliovich@mpi-hd.mpg.de

(Received: 16 May 2001 / Revised version: 3 July 2001 Communicated by A. Schäfer)

Abstract
The Born approximation, one photon exchange, used for DIS (deep inelastic scattering) is subject to virtual radiative corrections which are related to the long-range Coulomb forces. They may be sizeable for heavy nuclei since $Z\alpha$ is not a small parameter. So far, these corrections are known only for two processes, elastic scattering and bremsstrahlung on the Coulomb field of a point-like target. While the former amplitude acquires only a phase, in the latter case also the cross-section is modified. Although the problem of Coulomb corrections for DIS on nuclei is extremely difficult, it should be challenged rather than "swept under the carpet" . The importance of these radiative corrections is questioned in the present paper. We show that, in the simplest case of a constant hadronic current, the Coulomb corrections provide a phase to the Born amplitude, therefore the cross-section remains the same. Inclusion of more realistic hadronic dynamics changes this conclusion. The example of coherent production of vector mesons off nuclei reveals large effects. So far a little progress has been made deriving lepton wave functions in the Coulomb field of an extended target. Employing available results based on the first-order approximation in $Z\alpha$, we conclude that the Coulomb corrections are still important for heavy nuclei. We also consider an alternative approach for extended nuclear targets, the eikonal approximation, which we demonstrate to reproduce the known exact results for Coulomb corrections. Calculating electroproduction of vector mesons, we again arrive at a large deviation from the Born approximation. We conclude that one should accept with caution the experimental results for nuclear effects in DIS based on analyses done in the Born approximation.

PACS
25.30.-c - Lepton-induced reactions.
25.30.Rw - Electroproduction reactions.
13.40.-f - Electromagnetic processes and properties.
25.30.Bf - Elastic electron scattering.

© Società Italiana di Fisica, Springer-Verlag 2001