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Related papers: Pion Valence-quark Parton Distribution Function

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Using realistic quark propagators and meson Bethe-Salpeter amplitudes based on the Dyson-Schwinger equations, we calculate the pion and kaon's valence parton distribution functions (PDF) through the modified impulse approximation. The PDFs…

Nuclear Theory · Physics 2018-10-03 Chao Shi , Cedric Mezrag , Hong-shi Zong

In this work, we investigate the valence quark parton distribution functions (PDFs) of the pion within the light-cone quark model. The initial quark PDFs are calculated by solving the quark-quark correlation function for the pseudoscalar…

High Energy Physics - Phenomenology · Physics 2026-04-08 Hari Govind P , Satyajit Puhan , Abhishek K. P , Reetanshu Pandey , Harleen Dahiya , Arvind Kumar , Suneel Dutt

A rainbow-ladder truncation of QCD's Dyson-Schwinger equations, constrained by existing applications to hadron physics, is employed to compute the valence-quark parton distribution functions of the pion and kaon. Comparison is made to pi-N…

Nuclear Theory · Physics 2011-07-04 Trang Nguyen , Adnan Bashir , Craig D. Roberts , Peter C. Tandy

We calculate the valence parton distribution function~(PDF) of pion, within the theoretical approach based on spectral function representation of valence quarks in the pion. In this approach we assume that the soft partonic structure of…

High Energy Physics - Phenomenology · Physics 2026-03-16 Joseph Maerovitz , Christopher Leon , Misak Sargsian

We present a high-statistics lattice QCD determination of the valence parton distribution function (PDF) of the pion, with a mass of 300 MeV, using two very fine lattice spacings of $a=0.06$ fm and 0.04 fm. We reconstruct the $x$-dependent…

The impulse-approximation expression used hitherto to define the pion's valence-quark distribution function is flawed because it omits contributions from the gluons which bind quarks into the pion. A corrected leading-order expression…

We determine the pion parton distribution functions (PDFs) from its light-front wave functions, obtained using the holographic Schr\"odinger equation of light-front chiral QCD combined with the 't Hooft equation in (1+1)-dimensional QCD at…

High Energy Physics - Phenomenology · Physics 2026-05-15 Jiangshan Lan , Satvir Kaur , Chandan Mondal

We calculate the pion's valence-quark momentum-fraction probability distribution using a Dyson-Schwinger equation model. Valence-quarks with an active mass of 0.30 GeV carry 71% of the pion's momentum at a resolving scale q_0=0.54 GeV =…

Nuclear Theory · Physics 2008-11-26 M. B. Hecht , C. D. Roberts , S. M. Schmidt

Algebraic Ansaetze for the Poincar\'e-covariant Bethe-Salpeter wave functions of the pion and kaon are used to calculate their light-front wave functions (LFWFs), parton distribution amplitudes (PDAs), quasi-PDAs (qPDAs), valence parton…

Nuclear Theory · Physics 2018-05-23 Shu-Sheng Xu , Lei Chang , Craig D. Roberts , Hong-Shi Zong

We investigate the parton-distribution functions (PDFs) for the positively charged pion and kaon at a low-renormalization scale ~ 1 GeV. To this end, we employ the gauge-invariant effective chiral action from the nonlocal chiral-quark…

High Energy Physics - Phenomenology · Physics 2013-05-30 Seung-il Nam

We present lattice QCD calculations of valence parton distribution function (PDF) of pion employing next-to-next-leading-order (NNLO) perturbative QCD matching. Our calculations are based on three gauge ensembles of 2+1 flavor highly…

The valence quark parton distribution functions (PDFs) of all ground state heavy mesons that composed of $b$ or $c$ quarks, are discussed; namely, the pseudoscalar $\eta_c(1S)$, $\eta_b(1S)$ and $B_c$, together with the corresponding vector…

High Energy Physics - Phenomenology · Physics 2026-01-01 Qian Wu , Zhu-Fang Cui , Jorge Segovia

A symmetry-preserving continuum approach to the two valence-body bound-state problem is used to calculate the valence, glue and sea distributions within the pion; unifying them with, inter alia, electromagnetic pion elastic and transition…

High Energy Physics - Phenomenology · Physics 2020-04-22 Minghui Ding , Khépani Raya , Daniele Binosi , Lei Chang , Craig D. Roberts , Sebastian M. Schmidt

We investigate the parton distribution functions (PDFs) of the pion and the kaon by combining quantum chromodynamics (QCD) evolution with the basis light front quantization. The initial PDFs result from the light front wave functions…

Nuclear Theory · Physics 2020-07-23 Jiangshan Lan , Chandan Mondal , Shaoyang Jia , Xingbo Zhao , James P. Vary

Supposing only that there is an effective charge which defines an evolution scheme for parton distribution functions (DFs) that is all-orders exact, strict lower and upper bounds on all Mellin moments of the valence-quark DFs of pion-like…

High Energy Physics - Phenomenology · Physics 2022-06-01 Z. -F. Cui , M. Ding , J. M. Morgado , K. Raya , D. Binosi , L. Chang , F. De Soto , C. D. Roberts , J. Rodríguez-Quintero , S. M. Schmidt

We calculate the valence quark distribution functions of the $\pi$ meson using the non-relativistic chiral constituent quark model. The $\pi$ wave function is obtained by solving the two-body Schr\"odinger equation within the framework of…

High Energy Physics - Phenomenology · Physics 2023-08-21 Qian Wu , Chengdong Han , Di Qing , Wei Kou , JuJun Xie , Fan Wang , Xurong Chen

In order to learn effectively from measurements of generalised parton distributions (GPDs), it is desirable to compute them using a framework that can potentially connect empirical information with basic features of the Standard Model. We…

Nuclear Theory · Physics 2018-05-09 C. Mezrag , L. Chang , H. Moutarde , C. D. Roberts , J. Rodriguez-Quintero , F. Sabatie , S. M. Schmidt

We study the changes in the short-distance quark structure of the Nambu-Goldstone boson when the long-distance symmetry-breaking scales are depleted controllably. We achieve this by studying the valence Parton Distribution Function (PDF) of…

High Energy Physics - Lattice · Physics 2021-05-04 Nikhil Karthik

A recent study by Wang {\it et al.}(arXiv:2309.01417) proposed a novel connection between the nature of the parton distribution function (PDF) and the characteristics of its moments. In this study, we apply these findings to analyze the…

High Energy Physics - Phenomenology · Physics 2024-07-16 Xiaobin Wang , Zexin Wu , Minghui Ding , Lei Chang

We present a lattice QCD study of valence parton distribution inside the pion within the framework of Large Momentum Effective Theory. We use a mixed action approach with 1-HYP smeared valence Wilson clover quarks on 2+1 flavor HISQ sea…

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