Pion-nucleus induced Drell-Yan cross section in models inspired by light-front holography

Abstract

We evaluate the cross section for the pion induced Drell-Yan process in two different models of the pion light-front wave function, inspired by light-front holographic approaches. We obtain the valence quark distribution functions in those models, which after QCD evolution, are consistent with the experimental data from the E-0615 experiment at Fermilab. Supplemented by the parton distribution functions of the target nuclei, we obtain the cross section consistent with the experimental data for the $\pi^-$ Nucleus $\rightarrow {\mu^+\mu^-X}$ Drell-Yan process.