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In this work, we investigate the leading twist valence quark distribution functions of pion using the light cone quark model (LCQM). We calculate the time reversal \(f_1(x,{\textbf {k}}^2_\perp )\) quark transverse momentum parton distribution functions (TMDs) using the S-wave and P-wave meson state along with the parton distribution functions (PDFs). It is found that the S-wave contributes 94% to the TMDs and PDFs of pion, while P-wave contributes only 6%. We also calculate the average \(\langle {\textbf {k}}_\perp \rangle \) , Mellin moment ( \(\langle x \rangle \) ) and inverse moment ( \(\langle x^{-1} \rangle \) ) for valence quark of pion.

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Valence Quark Structure of Pion Using Light Front Dynamics

  • 会议论文

  • 发表日期：

    2025年

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  • Satyajit Puhan,
  • Harleen Dahiya

摘要

In this work, we investigate the leading twist valence quark distribution functions of pion using the light cone quark model (LCQM). We calculate the time reversal \(f_1(x,{\textbf {k}}^2_\perp )\) quark transverse momentum parton distribution functions (TMDs) using the S-wave and P-wave meson state along with the parton distribution functions (PDFs). It is found that the S-wave contributes 94% to the TMDs and PDFs of pion, while P-wave contributes only 6%. We also calculate the average \(\langle {\textbf {k}}_\perp \rangle \) , Mellin moment ( \(\langle x \rangle \) ) and inverse moment ( \(\langle x^{-1} \rangle \) ) for valence quark of pion.