We have investigated the valence quark parton distribution functions (PDFs) associated with spin-0 \(\pi \) meson and spin-1 \(\rho \) meson, utilizing light-front dynamics at leading twist. The \(\pi \) meson is characterized by a single unpolarized quark PDF, \(f_1(x)\) , whereas the \(\rho \) meson is represented by four distinct PDFs: the unpolarized \(f_1(x)\) , the helicity distribution \(g_1(x)\) , the transversity distribution \(h_1(x)\) , and the tensor PDF \(f_{1LL}(x)\) . Additionally, an examination of the PDF sum rules and their associated positivity constraints have been conductedPlease confirm if the corresponding author is correctly identified. Amend if necessary.. The PDFs are also evolved to higher values of \(Q^2\) through next-to-next-leading order (NNLO) DGLAP evolution, facilitating meaningful comparison with predictions from alternative models. Moreover, the structure function can be calculated based on these PDFs, thereby enhancing the understanding of mesonic structures.

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Quark Distribution Inside \(\pi \) and  \(\rho \) Mesons

  • Tanisha,
  • Navpreet Kaur,
  • Harleen Dahiya

摘要

We have investigated the valence quark parton distribution functions (PDFs) associated with spin-0 \(\pi \) meson and spin-1 \(\rho \) meson, utilizing light-front dynamics at leading twist. The \(\pi \) meson is characterized by a single unpolarized quark PDF, \(f_1(x)\) , whereas the \(\rho \) meson is represented by four distinct PDFs: the unpolarized \(f_1(x)\) , the helicity distribution \(g_1(x)\) , the transversity distribution \(h_1(x)\) , and the tensor PDF \(f_{1LL}(x)\) . Additionally, an examination of the PDF sum rules and their associated positivity constraints have been conductedPlease confirm if the corresponding author is correctly identified. Amend if necessary.. The PDFs are also evolved to higher values of \(Q^2\) through next-to-next-leading order (NNLO) DGLAP evolution, facilitating meaningful comparison with predictions from alternative models. Moreover, the structure function can be calculated based on these PDFs, thereby enhancing the understanding of mesonic structures.