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

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The quasi-probabilistic Wigner distributions are the quantum mechanical analog of the classical phase-space distributions. We investigate quark Wigner distributions for a quark state dressed with a gluon, which can be thought of as a simple…

High Energy Physics - Phenomenology · Physics 2017-05-09 Jai More , Asmita Mukherjee , Sreeraj Nair

The electromagnetic tensor for inclusive electron scattering off the pion, ($W^{\mu\nu}$), for momentum transfers such that $q^+=0$, ($q^+=q^0+q^3$) is shown to obey a sum-rule for the component $W^{++}$. From this sum-rule, one can define…

High Energy Physics - Phenomenology · Physics 2009-07-28 J. P. B. C de Melo , T. Frederico , Lauro Tomio , A. E. Dorokhov

We employ the continuum Schwinger function method to investigate the unpolarized valence-quark transverse-momentum-dependent parton distribution function (TMD) of the pion at the hadron scale. The first seventeen generalized…

High Energy Physics - Phenomenology · Physics 2025-11-25 Minghui Ding

Using constituent quark model constraints we calculate the gluon and sea-quark content of pions solely in terms of their valence density (fixed by \pi N Drell-Yan data) and the known sea and gluon distributions of the nucleon, using the…

High Energy Physics - Phenomenology · Physics 2010-04-06 M. Gluck , E. Reya , I. Schienbein

We examine the contribution of the pion cloud to the electromagnetic $N \rightarrow \Delta$ transition form factors within a relativistic hybrid constituent-quark model. In this model baryons consist not only of the $3q$ valence component,…

High Energy Physics - Phenomenology · Physics 2018-12-06 Ju-Hyun Jung , Wolfgang Schweiger

We analyze the moments of parton distribution functions in the pion calculated in lattice QCD, paying particular attention to their chiral extrapolation. Using the lowest three non-trivial moments calculated on the lattice, we assess the…

High Energy Physics - Lattice · Physics 2008-11-26 W. Detmold , W. Melnitchouk , A. W. Thomas

We introduce a new family of Generalised Parton Distribution models able to fulfil by construction all the theoretical properties imposed by QCD. These models are built on standard Parton Distribution Functions and extended to off-forward…

Exploiting an evolution scheme for parton distribution functions (DFs) that is all-orders exact, contemporary lattice-QCD (lQCD) results for low-order Mellin moments of the pion valence quark DF are shown to be mutually consistent. The…

High Energy Physics - Phenomenology · Physics 2023-11-16 Ya Lu , Yin-Zhen Xu , Khépani Raya , Craig D. Roberts , José Rodríguez-Quintero

Recently, a theoretical framework was set up in [1], which allows for the symmetry-preserving inclusion of full quark-gluon vertices in the description of the meson dynamics. In the present work, we develop a special truncation within this…

High Energy Physics - Phenomenology · Physics 2025-12-05 Mauricio N. Ferreira , Angel S. Miramontes , Jose M. Morgado , Joannis Papavassiliou , Jan M. Pawlowski

It is shown that the data on the pion charge form factor admit the possibility for a substantial sea-quark components in the pion wave function. If the charge form factor is calculated with instant form kinematics in a constituent quark…

High Energy Physics - Phenomenology · Physics 2008-11-26 Q. B. Li , D. O. Riska

The quark generalised parton distributions of the pion are calculated from lightcone wavefunctions in transverse lattice gauge theory at large N_c. The pion effective size is found to decrease with increasing momentum transfer. An analytic…

High Energy Physics - Phenomenology · Physics 2009-11-10 S. Dalley

The pion structure function is studied in the Nambu and Jona-Lasinio (NJL) model. We calculate the forward scattering amplitude of a virtual photon from a pion target in the Bjorken limit, and obtain valence quark distributions of the pion…

High Energy Physics - Phenomenology · Physics 2014-11-17 T. Shigetani , K. Suzuki , H. Toki

We present the first rainbow-ladder Dyson-Schwinger equations study of the pion's chiral-odd, twist-3 parton distribution $e_{\rm q}(x)$. By deriving a novel Dyson-Schwinger equation for the pion's quark-quark correlation matrix, we…

High Energy Physics - Phenomenology · Physics 2026-02-17 Chao Shi , Liming Lu , Ian Cloët , Wenbao Jia , Peter Tandy

The behaviour of the pion transition form factor for the process $\gamma^\star\gamma \to \pi^0$ and $\gamma^\star\gamma^\star\to \pi^0$ at space-like values of photon momenta is estimated within the nonlocal covariant quark-meson model. The…

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

We calculate the leading twist valence quark distribution in the pion in the framework of QCD sum rules with nonlocal condensates. Particular attention has been paid to the correct account for the bilocal power corrections.

High Energy Physics - Phenomenology · Physics 2009-10-28 A. V. Belitsky

The holographic light-front QCD framework provides a unified nonperturbative description of the hadron mass spectrum, form factors and quark distributions. In this article we extend holographic QCD in order to describe the gluonic…

High Energy Physics - Phenomenology · Physics 2021-12-15 Guy F. de Téramond , H. G. Dosch , Tianbo Liu , Raza Sabbir Sufian , Stanley J. Brodsky , Alexandre Deur

We present the first lattice-QCD $x$-dependent pion valence-quark generalized parton distribution (GPD) calculated directly at physical pion mass using the Large-Momentum Effective Theory (LaMET) with next-to-next-to-leading order…

High Energy Physics - Lattice · Physics 2023-10-17 Huey-Wen Lin

We present the first direct measurements of the pion valence quark momentum distribution which is related to the square of the pion light-cone wave function. The measurements were carried out using data on diffractive dissociation of 500…

High Energy Physics - Experiment · Physics 2008-11-26 E791 Collaboration , E. M. Aitala

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

A rainbow-ladder truncation of QCD's Dyson-Schwinger equations is used to calculate rho- and phi-meson valence-quark (twist-two parton) distribution amplitudes (PDAs) via a light-front projection of their Bethe-Salpeter wave functions,…

Nuclear Theory · Physics 2015-06-19 Fei Gao , Lei Chang , Yu-Xin Liu , Craig D. Roberts , Sebastian M. Schmidt