We present a detailed investigation on the intrinsic charm content in a light meson within the 't Hooft model, namely, the two-dimensional QCD in large Nc limit. The intrinsic charm parton distribution function (PDF) of a light meson, which first arises at order Nc−1, is explicitly expressed in terms of the 't Hooft wave functions of the light meson and an infinite towers of excited charmed mesons. We also derive the functional forms from the two-dimensional counterparts of the meson cloud model (MCM) and Brodsky-Hoyer-Peterson-Sakai (BHPS) model. We then make a quantitative comparison between our rigorous results and model predictions. We also study how the profile of the intrinsic charm PDF varies with charm quark mass. The average momentum fraction carried by the charm quark inside a light meson is found to decrease faster than mc−4 with increasing charm quark mass.
@article{arxiv.2211.16489,
title = {Parton distribution of intrinsic charm in two dimensional QCD},
author = {Siwei Hu and Yu Jia and Zhewen Mo and Xiaonu Xiong and Mingliang Zhu},
journal= {arXiv preprint arXiv:2211.16489},
year = {2023}
}