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Parton distribution of intrinsic charm in two dimensional QCD
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abstract
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 $N_c$ limit. The intrinsic charm parton distribution function (PDF) of a light meson, which first arises at order $N_c^{-1}$, 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 $m_c^{-4}$ with increasing charm quark mass.
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Cited by 1 Pith paper
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Strange-antistrange and charm-anticharm asymmetries of pion in 't Hooft model
In the 't Hooft model, the first excited pion has a few-percent strange-antistrange asymmetry, and the meson cloud model reproduces it but fails for charm-anticharm asymmetry.
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