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The orbital angular momentum of quarks and gluons contributes significantly to the proton spin budget and attracted a lot of attention in the recent years, both theoretically and experimentally. We summarize the various definitions of…

High Energy Physics - Phenomenology · Physics 2016-03-23 Cédric Lorcé , K. F. Liu

Traditionally, lattice QCD computations of generalized parton distributions (GPDs) have been carried out in a symmetric frame, where the transferred momentum is symmetrically distributed between the incoming and outgoing hadrons. However,…

We study the quark angular momentum distribution in the nucleon within a light-front covariant quark model. Special emphasis is put into the orbital angular momentum: a quantity which is very sensitive to the relativistic treatment of the…

High Energy Physics - Phenomenology · Physics 2009-10-31 F. Cano , P. Faccioli , S. Scopetta , M. Traini

The transversely-polarized state of a proton with arbitrary momentum is not an eigenstate of transverse angular momentum operator. The latter does not commute with the QCD Hamiltonian. However, the expectation value of the transverse…

High Energy Physics - Phenomenology · Physics 2020-09-23 Xiangdong Ji , Feng Yuan

Elastic nucleon form factors constrain the spatial distribution of quarks in the impact parameter plane. A recent analysis found that the average impact parameter of quarks strongly depends on their longitudinal momentum, and obtained an…

High Energy Physics - Phenomenology · Physics 2009-11-11 M. Diehl

The difference between the quark orbital angular momentum (OAM) defined in light-cone gauge (Jaffe-Manohar) compared to defined using a local manifestly gauge invariant operator (Ji) is interpreted in terms of the change in quark OAM as the…

High Energy Physics - Phenomenology · Physics 2020-01-14 Matthias Burkardt

We present the first study of quark gravitational transverse-momentum distributions within the light-front quark--diquark model (LFQDM) inspired by the soft-wall AdS/QCD framework. We derive analytical expressions for the six unpolarized…

High Energy Physics - Phenomenology · Physics 2026-04-14 Kauship Saha , Dipankar Chakrabarti , Asmita Mukherjee

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…

High Energy Physics - Phenomenology · Physics 2017-04-13 Maryam Momeni-Feili , Firooz Arash , Fatemeh Taghavi-Shahri , Abolfazl Shahveh

We compare the orbital angular momentum of the 'quark' in the scalar diquark model as well as that of the electron in QED (to order {\alpha}) obtained from the Jaffe-Manohar de- composition to that obtained from the Ji relation. We estimate…

High Energy Physics - Phenomenology · Physics 2015-05-27 Hikmat BC , Matthias Burkardt

This work presents the first lattice-QCD calculation of the twist-3 axial quark GPDs for the proton using the large-momentum effective theory approach. We calculate matrix elements with momentum-boosted proton states and a non-local axial…

The flavor-nonsinglet ($u - d$) quark angular momentum (AM) in the proton is computed based on the effective spin-flavor dynamics emerging from chiral symmetry breaking by QCD instantons. The QCD AM operators are converted to effective…

High Energy Physics - Phenomenology · Physics 2026-05-25 June-Young Kim , Ho-Yeon Won , Christian Weiss

We present a lattice QCD determination of the Mellin moments of the unpolarized gluon parton distribution function in the proton. The analysis is based on matrix elements of nonlocal gluon operators coupled to momentum-boosted proton…

High Energy Physics - Lattice · Physics 2026-05-29 Joseph Delmar , Krzysztof Cichy , Martha Constantinou , Yong Zhao

We study the unpolarized and the helicity dependent generalized parton distributions (GPDs) for the valence quarks of the proton in both momentum space and position space within the basis light-front quantization (BLFQ) framework. The GPDs…

High Energy Physics - Phenomenology · Physics 2022-06-01 Yiping Liu , Siqi Xu , Chandan Mondal , Xingbo Zhao , James P. Vary

The internal image of the proton is unveiled by examining the generalized parton distributions (GPDs) at zero skewness, within the basis light-front quantized environment. Several distributions emerge when a quark is sampled with different…

High Energy Physics - Phenomenology · Physics 2024-01-23 Satvir Kaur , Siqi Xu , Chandan Mondal , Xingbo Zhao , James P. Vary

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

This work presents the first calculation in lattice QCD of three moments of spin-averaged and spin-polarized generalized parton distributions in the proton. It is shown that the slope of the associated generalized form factors decreases…

High Energy Physics - Lattice · Physics 2012-08-27 LHPC , SESAM Collaborations , : , Ph. Hagler , J. W. Negele , D. B. Renner , W. Schroers , Th. Lippert , K. Schilling

The lowest two Mellin moments of hadronic Generalized Parton Distributions are explored within a model that allows investigation of the inter-related quark and gluon contributions. For light quarks their dynamical connection is strong due…

High Energy Physics - Phenomenology · Physics 2023-06-14 Peter C. Tandy

We investigate the quark angular momentum in a model with the nucleon being a quark and a spectator. Both scalar and axial-vector spectators are included. We perform the calculations in the light-cone formalism where the parton concept is…

High Energy Physics - Phenomenology · Physics 2015-01-16 Tianbo Liu , Bo-Qiang Ma

We derive a nonperturbative transverse momentum distribution for partons using a potential model to describe the quark-quark interaction inside the proton. We use this distribution to calculate the diferential cross-section of…

High Energy Physics - Phenomenology · Physics 2007-05-23 F. K. Diakonos , G. D. Galanopoulos , X. N. Maintas

In the large momentum transfer limit, generalized parton distributions can be calculated through a QCD factorization theorem which involves perturbatively-calculable hard kernels and light-cone parton distribution amplitudes of hadrons. We…

High Energy Physics - Phenomenology · Physics 2009-11-10 Pervez Hoodbhoy , Xiangdong Ji , Feng Yuan
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