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Generalized transverse momentum-dependent parton distributions (GTMDs) provide a comprehensive framework for imaging the internal structure of the proton. In particular, by encoding the simultaneous distribution of quark transverse…

In this work, we present a lattice QCD calculation of the Mellin moments of the twist-2 axial-vector generalized parton distribution (GPD), $\widetilde{H}(x,\xi,t)$, at zero skewness, $\xi$, with multiple values of the momentum transfer,…

The genuine twist-3 quark-gluon contributions to the Generalized Parton Distributions (GPDs) are estimated in the model of the instanton vacuum. These twist-3 effects are found to be parametrically suppressed relative to the ``kinematical''…

高能物理 - 唯象学 · 物理学 2007-05-23 D. V. Kiptily , M. V. Polyakov

We present a QCD analysis of the twist-three parton distribution functions associated with the spin-orbit correlation of quarks and gluons in spin-$\frac{1}{2}$ and spin-0 hadrons. We derive exact non-perturbative identities decomposing the…

高能物理 - 唯象学 · 物理学 2024-08-21 Yoshitaka Hatta , Jakob Schoenleber

Impact parameter dependent parton distributions are transversely distorted when one considers transversely polarized nucleons and/or quarks. This provides a physical mechanism for the T-odd Sivers effect in semi-inclusive deep-inelastic…

高能物理 - 唯象学 · 物理学 2009-11-11 Matthias Burkardt

The decomposition of the nucleon spin into that of quarks and gluons is related to twist-two GPDs according to Ji sum rule. Further decomposition into the helicity and the orbital angular momentum inevitably requires twist-three GPDs. In…

高能物理 - 唯象学 · 物理学 2015-06-05 Yoshitaka Hatta , Shinsuke Yoshida

We study the Wigner functions of the nucleon which provide multidimensional images of the quark distributions in phase space. These functions can be obtained through a Fourier transform in the transverse space of the generalized…

高能物理 - 唯象学 · 物理学 2011-08-08 Cedric Lorce , Barbara Pasquini

We give the results of a simple model for the diagonal and off-diagonal valence quark distributions of a pion. We show that structure can be implemented in a gauge-invariant manner. This explicit model questions the validityof the momentum…

高能物理 - 唯象学 · 物理学 2007-05-23 J. R. Cudell , F. Bissey , J. Cugnon , M. Jaminon , J. P. Lansberg , P. Stassart

The orbital angular momenta $L^u$ and $L^d$ of up and down quarks in the proton are estimated as functions of the energy scale as model-independently as possible, on the basis of Ji's angular momentum sum rule. This analysis indicates that…

高能物理 - 唯象学 · 物理学 2011-02-01 M. Wakamatsu

A new picture is given of generalized parton distributions probed in experiments in which the probe scale $Q^{2}$ and the momentum transfer $\DD^{2}$ are well separated. Application of this picture to the $Q^{2}$ dependence of the form…

高能物理 - 唯象学 · 物理学 2015-06-25 John P. Ralston , Roman V. Buniy , Pankaj Jain

We investigate quantum chromodynamics (QCD) in this study by computing chiral-even generalized parton distributions (GPDs) at twist-$3$ using the light-front quark-diquark model (LFQDM), particularly when the longitudinal momentum transfer…

高能物理 - 唯象学 · 物理学 2024-11-21 Sameer Jain , Shubham Sharma , Harleen Dahiya

In a nonstandard way we split up the polarized quark distributions $g_T$ and $h_L$ into their twist-two, quark-mass, and interaction-dependent parts, emphasizing the sensitivity to quark intrinsic transverse momentum. We show how to derive…

高能物理 - 唯象学 · 物理学 2009-09-25 R. D. Tangerman , P. J. Mulders

Quark orbital angular momentum (OAM) in the proton can be calculated directly given a Wigner function encoding the simultaneous distribution of quark transverse positions and momenta. This distribution can be accessed via proton matrix…

高能物理 - 格点 · 物理学 2019-01-04 M. Engelhardt , J. Green , N. Hasan , S. Krieg , S. Meinel , J. Negele , A. Pochinsky , S. Syritsyn

We suggest a method of constructing gauge invariant quark and gluon distributions that describe an abstract QCD observable and apply this method to analyze angular momentum of a hadron. In addition to the known quark and gluon polarized…

高能物理 - 唯象学 · 物理学 2008-11-26 S. V. Bashinsky , R. L. Jaffe

We show that the gauge-invariant transverse-momentum-dependent (TMD) quark distribution function can be expressed as a sum of all higher-twist collinear parton matrix elements in terms of a transport operator. From such a general…

高能物理 - 唯象学 · 物理学 2008-11-26 Zuo-tang Liang , Xin-Nian Wang , Jian Zhou

We have calculated the Orbital Angular Momentum of quarks and gluons in the nucleon. The calculations are carried out in the next to leading order utilizing the so-called valon model. It is found that the average quark orbital angular…

高能物理 - 唯象学 · 物理学 2017-04-13 Maryam Momeni-Feili , Firooz Arash , Fatemeh Taghavi-Shahri , Abolfazl Shahveh

We argue that due to Parity constraints, the helicity combination of the purely momentum space counterparts of the Wigner distributions -- the generalized transverse momentum distributions -- that describes the configuration of an…

高能物理 - 唯象学 · 物理学 2015-06-17 Aurore Courtoy , Gary R. Goldstein , J. Osvaldo Gonzalez Hernandez , Simonetta Liuti , Abha Rajan

Definitions of orbital angular momentum based on Wigner distributions are used to discuss the connection between the Ji definition of the quark orbital angular momentum and that of Jaffe and Manohar. The difference between these two…

核理论 · 物理学 2017-01-25 Matthias Burkardt

Several possibilities to relate the $t$-dependence of Generalized Parton Distributions (GPDs) to the distribution of angular momentum in the transverse plane are discussed. Using a simple spectator model we demonstrate that non of them…

高能物理 - 唯象学 · 物理学 2017-04-14 Lekha Adhikari , Matthias Burkardt

We investigate the chiral-even twist-3 generalized parton distributions (GPDs) of valence quarks in the proton at nonzero skewness $\xi$, using a spectator model with scalar and axial-vector diquarks. We consider the exponential form factor…

高能物理 - 唯象学 · 物理学 2024-07-25 Chentao Tan , Zhun Lu