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Related papers: Basic features of the pion valence-quark distribut…

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We describe expressions for pion and kaon dressed-quark distribution functions that incorporate contributions from gluons which bind quarks into these mesons and hence overcome a flaw of the commonly used handbag approximation. The…

Nuclear Theory · Physics 2016-04-27 Chen Chen , Lei Chang , Craig D. Roberts , Shaolong Wan , Hong-Shi Zong

Within the Dyson-Schwinger equation formulation of QCD, a rainbow ladder truncation is used to calculate the pion valence-quark distribution function(PDF). The gap equation is renormalized at a typical hadronic scale, of order 0.5GeV, which…

Nuclear Theory · Physics 2015-09-30 Lei Chang , Anthony W. Thomas

The pion structure function is investigated in a simple model, where the pion and its constituent quark fields are coupled through the simplest pseudoscalar coupling. The imaginary part of the forward gamma* pi -> gamma* pi scattering…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. P. Lansberg , F. Bissey , J. R. Cudell , J. Cugnon , M. Jaminon , P. Stassart

The leading-twist valence-quark distribution function in the pion is obtained at a low normalization scale of an order of the inverse average size of an instanton $\rho_c$. The momentum dependent quark mass and the quark-pion vertex are…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. E. Dorokhov , Lauro Tomio

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

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

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

The leading-twist parton distribution functions of the pion and kaon are calculated for the first time using a rainbow-ladder truncation of QCD's Dyson-Schwinger equations (DSEs) that self-consistently sums all planar diagrams. The…

Nuclear Theory · Physics 2020-02-05 Kyle D. Bednar , Ian C. Cloët , Peter C. Tandy

We investigate the model dependence of no-helicity flip generalized parton distribution of the pion upon different approaches for the quark-hadron and quark-photon vertexes, in the spacelike region. In order to obtain information on…

High Energy Physics - Phenomenology · Physics 2009-11-06 T. Frederico , E. Pace , B. Pasquini , G. Salmé

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

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

Working with proton and pion valence distribution functions (DFs) determined consistently at the same, unique hadron scale and exploiting the possibility that there is an effective charge which defines an evolution scheme for DFs that is…

High Energy Physics - Phenomenology · Physics 2022-05-04 Ya Lu , Lei Chang , Khépani Raya , Craig D. Roberts , José Rodríguez-Quintero

We sketch here an approach to the computation of generalised parton distributions (GPDs), based upon a rainbow-ladder (RL) truncation of QCD's Dyson-Schwinger equations and exemplified via the pion's valence dressed-quark GPD, $H_\pi^{\rm…

High Energy Physics - Phenomenology · Physics 2015-09-02 L. Chang , C. Mezrag , H. Moutarde , C. D. Roberts , J. Rodríguez-Quintero , F. Sabatié

Exploiting crossing symmetry, the hadron scale pion valence quark distribution function is used to predict the kindred elementary valence quark fragmentation function (FF). This function defines the kernel of a quark jet fragmentation…

High Energy Physics - Phenomenology · Physics 2023-11-07 H. -Y. Xing , Z. -Q. Yao , B. -L. Li , D. Binosi , Z. -F. Cui , C. D. Roberts

The parton distribution of the pion is obtained for the first time from the solution of a dynamical equation in Minkowski space. The adopted equation is the homogeneous Bethe-Salpeter one with a ladder kernel, described in terms of i)…

High Energy Physics - Phenomenology · Physics 2022-04-15 W. de Paula , E. Ydrefors , J. H. Alvarenga Nogueira , T. Frederico , G. Salmè

Pion valence distributions in nuclear medium and vacuum are studied in a light-front constituent quark model. The in-medium input for studying the pion properties is calculated by the quark-meson coupling model. We find that the in-medium…

High Energy Physics - Phenomenology · Physics 2017-01-20 J. P. B. C de Melo , K. Tsushima , I. Ahmed

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

We investigate the quark Wigner distributions of the pion to reveal the multidimensional picture of pion. We have used the spin improved wave functions of pion deduced from the light-front holographic model of mesons. By using the…

High Energy Physics - Phenomenology · Physics 2020-07-15 Navdeep Kaur , Harleen Dahiya

We consider the pion structure in the region of low and moderately high momentum transfers: at low $Q^2$, the pion is treated as a composite system of constituent quarks; at moderately high momentum transfers, $Q^2=10\div25\;GeV^2$, the…

High Energy Physics - Phenomenology · Physics 2009-10-28 V. Anisovich , D. Melikhov , V. Nikonov

In this contribution, an approach for a unified description of the pion electromagnetic form factor, in the space- and time-like regions, within a constituent quark model on the light front, will be reviewed. Our approach is based on i) the…

High Energy Physics - Phenomenology · Physics 2017-08-23 J. P. B. C. de Melo , T. Frederico , E. Pace , G. Salme`
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