The scale dependent nuclear effects in parton distributions for practical applications

K. J. Eskola; V. J. Kolhinen; C. A. Salgado

doi:10.1007/s100520050513

paper

The scale dependent nuclear effects in parton distributions for practical applications

arXiv:hep-ph/9807297 · doi:10.1007/s100520050513

Abstract

The scale dependence of the ratios of parton distributions in a proton of a nucleus $A$ and in the free proton, $R_{i}^{A} (x, Q^{2}) = f_{i / A} (x, Q^{2}) / f_{i} (x, Q^{2})$ , is studied within the framework of the lowest order leading-twist DGLAP evolution. By evolving the initial nuclear distributions obtained with the GRV-LO and CTEQ4L sets at a scale $Q_{0}^{2}$ , we show that the ratios $R_{i}^{A} (x, Q^{2})$ are only moderately sensitive to the choice of a specific modern set of free parton distributions. We propose that to a good first approximation, this parton distribution set-dependence of the nuclear ratios $R_{i}^{A} (x, Q^{2})$ can be neglected in practical applications. With this result, we offer a numerical parametrization of $R_{i}^{A} (x, Q^{2})$ for all parton flavours $i$ in any $A > 2$ , and at any $1 0^{- 6} \leq x \leq 1$ and any $Q^{2} \geq 2.25$ GeV $^{2}$ for computing cross sections of hard processes in nuclear collisions.

14 pages, including 4 eps-figures

The scale dependent nuclear effects in parton distributions for practical applications

Abstract

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