Abstract
The goal of this paper is to extend the results of Ref. [1], where formulae were derived for gluonic radiation for a high energy nucleus colliding with a classical colored particle. In Ref. [1], we computed the amplitudes for radiation in the fragmentation region of the particle for a dilute gluonic field. In this paper, we compute the radiation by solving the fluctuation equations of the dense background field in a specific gauge which makes it simple to solve the asymptotic radiation from an initial condition immediately after the passage of the nucleus. We identify and compute two components of gluon radiation, a bulk component which extends to the central region and bremsstrahlung, which may give rise to an experimentally observable intensity peak in the target fragmentation region.
Highlights
In our first paper, Ref. [1], we considered a particle being scattered by a high energy nucleus which was treated as a sheet of colored glass [2,3]
We identify and compute two components of gluon radiation, a bulk component which extends to the central region and bremsstrahlung, which may give rise to an experimentally observable intensity peak in the target fragmentation region
Physics of gluon distribution is obtained from the square of Eq (34) and it comes in two parts: The first term describes gluons arising from the interaction of the nuclear sheet with the Coulomb field of the initial quark, the second emission from the kicked quark
Summary
Ref. [1], we considered a particle being scattered by a high energy nucleus which was treated as a sheet of colored glass [2,3]. We compute for the first time the distribution of gluonic radiation emitted by this scattering process in the fragmentation region of the target quark. The majority of particles are produced and our computation within a classical current approximation should give a valid description of particle production in the fragmentation region of the target quark Investigating this problem is interesting since it solves an old problem: the initial conditions for matter produced in the fragmentation region of high energy scattering [20,21]. Interactions of the nuclear sheet with this field are shown (see III A) to be the main source of gluon production in the fragmentation region of the static quark To do this computation, we need a dense nuclear background field Aμ and how it interacts with a small fluctuation field aμ, which gives rise to the electric field of the initial static quark.
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