Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2007-05-08
Phys.Rev.C77:054903,2008
Physics
Nuclear Physics
Nuclear Theory
17 pages, 6 figures, revtex4, references added, typos corrected, discussion updated
Scientific paper
10.1103/PhysRevC.77.054903
The transverse broadening of jets produced in deep-inelastic scattering (DIS) off a large nucleus is studied in the collinear limit. A class of medium enhanced higher twist corrections are re-summed to calculate the transverse momentum distribution of the produced collinear jet. In contrast to previous approaches, resummation of the leading length enhanced higher twist corrections is shown to lead to a two dimensional diffusion equation for the transverse momentum of the propagating jet. Results for the average transverse momentum obtained from this approach are then compared to the broadening expected from a classical Langevin analysis for the propagation of the jet under the action of the fluctuating color Lorentz force inside the nucleons. The set of approximations that lead to identical results from the two approaches are outlined. The relationship between the momentum diffusion constant $D$ and the transport coefficient $\hat{q}$ is explicitly derived.
Majumder Abhijit
Müller Berndt
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