Bremsstrahlung of a Quark Propagating through a Nucleus

Abstract

The density of gluons produced in the central rapidity region of a heavy ion collision is poorly known. We investigate the influence of the effects of quantum coherence on the transverse momentum distribution of photons and gluons radiated by a quark propagating through nuclear matter. We describe the case that the radiation time substantially exceeds the nuclear radius (the relevant case for RHIC and LHC energies), which is different from what is known as Landau-Pomeranchuk-Migdal effect corresponding to an infinite medium. We find suppression of the radiation spectrum at small transverse photon/gluon momentum k_T, but enhancement for k_T>1GeV. Any nuclear effects vanish for k_T > 10GeV. Our results allow also to calculate the k_T dependent nuclear effects in prompt photon, light and heavy (Drell-Yan) dilepton and hadron production.

Appendix A is extended compared to the version to be published in Phys.Rev.C

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• Radiative energy loss of high energy quarks in finite-size nuclear matter and quark-gluon plasma
• Gluon production in current-nucleus and nucleon-nucleus collisions in a quasi-classical approximation
• Medium-induced radiative energy loss; equivalence between the BDMPS and Zakharov formalisms
• Landau-Pomeranchuk-Migdal effect for finite-size targets

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