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We introduce the chiral-even and chiral-odd quark distributions as forward matrix elements of related bilocal quark operators with well-defined (geometric) twist. Thereby, we achieve a Lorentz invariant classification of these distributions…

High Energy Physics - Phenomenology · Physics 2009-10-31 Bodo Geyer , Markus Lazar

We have calculated the Bjorken-x dependence of the kaon and pion valence quark distributions in a statistical model. Each meson is described by a Fock state expansion in terms of quarks, antiquarks and gluons. Although Drell-Yan experiments…

Nuclear Theory · Physics 2015-05-30 Mary Alberg , Jeffrey Tibbals

The pion distribution amplitude (DA) can be related to the fundamental QCD Green's functions as a function of the quark self-energy and the quark-pion vertex, which in turn are associated with the pion wave function through the…

High Energy Physics - Phenomenology · Physics 2015-06-23 E. G. S. Luna , A. A. Natale

We introduce a covariant approach in Minkowski space for the description of quarks and mesons that exhibits both chiral-symmetry breaking and confinement. In a simple model for the interquark interaction the quark mass function is obtained…

High Energy Physics - Phenomenology · Physics 2016-07-19 Elmar P. Biernat , M. T. Peña , Franz Gross , Alfred Stadler , Emílio Ribeiro

The pion-photon transition form factor (TFF) provides strong constraints on the pion distribution amplitude (DA). We perform an analysis of all existing data (CELLO, CLEO, BaBar, Belle) on the pion-photon TFF by means of light-cone pQCD…

High Energy Physics - Phenomenology · Physics 2013-04-02 Xing-Gang Wu , Tao Huang , Tao Zhong

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

Recent BaBaR data on the pion transition form factor, whose Q^2 dependence is much steeper then predicted by asymptotic Quantum Chromodynamics (QCD), have caused a renewed interest in its theoretical description. We present here a formalism…

High Energy Physics - Phenomenology · Physics 2010-12-09 S. Noguera , V. Vento

We investigate the two-particle twist-3 distribution amplitudes (DAs) of the pseudoscalar mesons, in particular pseudoscalar ($\phi^P_{3;M}(x)$) and pseudotensor ($\phi^\sigma_{3;M}(x)$) DAs of the pion and kaon, in the light-front quark…

High Energy Physics - Phenomenology · Physics 2017-03-08 Ho-Meoyng Choi , Chueng-Ryong Ji

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

At leading twist the transverse-momentum dependent parton distributions of the pion consist of two functions, the unpolarized $f_{1,\pi}(x,\boldsymbol k^{\, 2}_\perp)$ and the Boer-Mulders function $h_{1,\pi}^{\perp}(x,\boldsymbol k^{\,…

High Energy Physics - Phenomenology · Physics 2014-11-04 B. Pasquini , P. Schweitzer

The role of Poincar\'e covariant space-time translations is investigated in the case of a relativistic quantum mechanics approach to the pion charge form factor. It is shown that the related constraints are generally inconsistent with the…

Nuclear Theory · Physics 2015-05-18 Bertrand Desplanques , Yu Bing Dong

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 light-cone wave function of the pion is calculated within the Nambu-Jona-Lasinio model. The result is used to derive the pion electromagnetic form factor, charge radius, structure function, pi-gamma transition form factor and…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. Heinzl

The pion charge and scalar form factors, $F_1(Q^2)$ and $F_0(Q^2)$, are first calculated in different forms of relativistic quantum mechanics. This is done using the solution of a mass operator that contains both confinement and…

Nuclear Theory · Physics 2010-02-22 Bertrand Desplanques

The Vector Pion form factor below 1 GeV is analyzed using experimental data on its modulus, the P-wave pion pion phase shifts and dispersion relation. It is found that causality is satisfied. Using dispersion relation, terms proportional to…

High Energy Physics - Phenomenology · Physics 2007-05-23 Tran N. Truong

This talk presents issues pertaining to the quark structure of the pion within QCD, both from the theoretical and from the experimental point of view. We review and discuss the pion-photon transition form factor and the pion's…

High Energy Physics - Phenomenology · Physics 2008-11-07 N. G. Stefanis

We study chiral-odd quark-antiquark correlation functions suitable for lattice calculations of twist-three nucleon parton distribution functions $h_L(x)$ and $e(x)$, and also the twist-two transversity distribution $\delta q(x)$. The…

High Energy Physics - Phenomenology · Physics 2021-10-15 Vladimir M. Braun , Yao Ji , Alexey Vladimirov

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

The electromagnetic form factors of the Delta and Omega baryons are calculated in the framework of Poincare-covariant bound-state equations. The quark-quark interaction is truncated to a single dressed-gluon exchange where for the dressings…

High Energy Physics - Phenomenology · Physics 2013-06-05 Helios Sanchis-Alepuz , Richard Williams , Reinhard Alkofer

We analyze the proton electromagnetic form factor ratio $R(Q^{2})=QF_2(Q^{2})/F_1(Q^{2})$ as a function of momentum transfer $Q^{2}$ within perturbative QCD. We find that the prediction for $R(Q^{2})$ at large momentum transfer $Q$ depends…

High Energy Physics - Phenomenology · Physics 2008-11-26 Pankaj Jain , John P. Ralston
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