Eur. Phys. J. Plus (2021) 136: 649
https://doi.org/10.1140/epjp/s13360-021-01618-2

Regular Article

Bjorken variable and scale dependence of quark transport coefficient in Drell–Yan process for proton incident on nucleus

College of Physics and Hebei Advanced Thin Film Laboratory, Hebei Normal University, 050024, Shijiazhuang, People’s Republic of China

^b duancg@hebtu.edu.cn

Received: 8 February 2021
Accepted: 27 May 2021
Published online: 11 June 2021

Abstract

By means of the nuclear parton distributions determined only with lepton-nuclear deep inelastic scattering experimental data and the analytic parameterization of quenching weight based on BDMPS formalism, a phenomenological analysis of the nuclear Drell–Yan differential cross section ratio as a function of Feynman variable is performed from Fermilab E906 and E866 experimental data. With the nuclear geometry effect on nuclear Drell–Yan process and the quark transport coefficient as a constant, our predictions are in good agreement with the experimental measurements. It is found that nuclear geometry effect has a significant impact on the quark transport coefficient in cold nuclear matter. It is necessary to consider the detailed nuclear geometry in studying the nuclear Drell–Yan process. Our calculated results reveal that the difference in the values of quark transport coefficient exists from E906 and E866 experiments. However, confirming the conclusion, that the quark transport coefficient depends on the target-quark momentum fraction, still needs more accurate experimental data on the Drell–Yan differential cross section ratio in the future. Three models are proposed and discussed for the quark transport coefficient as a function of the measurable kinematic variables. The quark transport coefficient is determined as a function of the Bjorken variable $x_2$ and scale $Q^2$.