Abstract
We consider an initially at rest colored particle which is struck by an ultra-relativistic nucleus. The particle is treated classically both with respect to its motion and its color charge. The nucleus is treated as a sheet of colored glass within the context of the Color Glass Condensate framework. We compute both the momentum and coordinates of the struck classical particle and the emitted radiation. Our computations generalize the classic electrodynamics computation of the radiation of an accelerated charged particle to include the radiation induced by the charged gluon field. This latter contribution adds to the classic electrodynamics result and produces a gluon rapidity distribution that is roughly constant as a function of rapidity at rapidities far from the fragmentation region of the struck particles. These computations may form the basis of a first principles treatment for the initial conditions for the evolution of matter produced in the fragmentation region of asymptotically high energy collisions.
Highlights
This article will study gluon production in the target fragmentation region of a very high energy hadronic collision
This latter contribution adds to the classic electrodynamics result and produces a gluon rapidity distribution that is roughly constant as a function of rapidity at rapidities far from the fragmentation region of the struck particles
These computations may form the basis of a first principles treatment for the initial conditions for the evolution of matter produced in the fragmentation region of asymptotically high energy collisions
Summary
This article will study gluon production in the target fragmentation region of a very high energy hadronic collision. As an initial stage of computing this process we shall in this article consider the problem of a single color charged particle interacting with a sheet of color glass condensate; i.e., we have a large nucleus moving along the positive longitudinal direction and colliding with a static or slowly moving quark. This discussion will later be extended to the fully physical situation of collisions of nuclei in the fragmentation region of the nucleus. This will allow us to compute the trajectory of the struck target particle and the induced gluon radiation associated with this collision
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