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A better understanding of transverse momentum (k_T-) dependent quark distributions in a hadron is needed to interpret several experimentally observed large angular asymmetries and to clarify the fundamental role of gauge links in…

High Energy Physics - Lattice · Physics 2010-01-15 Ph. Hägler , B. U. Musch , J. W. Negele , A. Schäfer

Spin sum rules depend on the choice of a pivot, i.e. the point about which the angular momentun is defined, usually identified with the center of the nucleon. The latter is however not unique in a relativistic theory and has led to…

High Energy Physics - Phenomenology · Physics 2021-05-26 Cédric Lorcé

We derive the effective angular momentum operator to $1/m^2$ and one-loop order in non-relativistic quantum electrodynamics (NRQED). In both dimensional and three-momentum-cutoff regularization schemes, we obtain the non-relativistic…

High Energy Physics - Phenomenology · Physics 2011-03-18 Panying Chen , Xiangdong Ji , Yue Zhang

In this paper we prove a recent conjecture [Robnik M and Salasnich L 1997 J. Phys. A: Math. Gen. 30 1719] about the convergence of the WKB series for the angular momentum operator. We demonstrate that the WKB algorithm for the angular…

Quantum Physics · Physics 2008-11-26 Luca Salasnich , Fabio Sattin

We study the covariant version of the quark-parton model, in which the general rules of the angular momentum composition are accurately taken into account. We demonstrate how these rules affect the relativistic interplay between the quark…

High Energy Physics - Phenomenology · Physics 2015-06-23 Petr Zavada

Analytical and numerical results, for the orbital and spin content carried by different quark flavors in the baryons, are given in the chiral quark model with symmetry breaking. The reduction of the quark spin, due to the spin dilution in…

High Energy Physics - Phenomenology · Physics 2009-10-31 Xiaotong Song

We study the asymptotic behaviour of the transverse momentum broadening distribution of an energetic quark or gluon propagating through dense QCD matter, in the large system size $L$ limit, taking into account radiative corrections in the…

High Energy Physics - Phenomenology · Physics 2021-11-02 Paul Caucal

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

A generalized quantum distribution function is introduced. The corresponding ordering rule for non-commuting operators is given in terms of a single parameter. The origin of this parameter is in the extended canonical transformations that…

Quantum Physics · Physics 2007-05-23 S. Nasiri , S. Khademi , S. Bahrami , F. Taati

A plane, monochromatic electromagnetic wave propagating in free space can have a certain amount of spin angular momentum but cannot possess any orbital angular momentum. Even the spin angular momentum of the plane-wave is difficult to…

Optics · Physics 2023-10-03 Masud Mansuripur

In this work we initiate a systematic investigation of the spin of a composite system in an arbitrary reference frame in QCD. After a brief review of the difficulties one encounters in equal-time quantization, we turn to light-front…

High Energy Physics - Theory · Physics 2007-05-23 A. Harindranath , Asmita Mukherjee , Raghunath Ratabole

It is well known that in gauge theories, the spin (and orbital angular momentum) of gauge particles is not gauge invariant, although the helicity is; neither are the canonical momentum and canonical angular momentum of charged particles.…

High Energy Physics - Phenomenology · Physics 2015-06-04 Xiangdong Ji , Yang Xu , Yong Zhao

Transverse momentum dependent (TMD) distribution and fragmentation functions are described as Fourier transforms of matrix elementscontaining nonlocal combinations of quark and gluon fields. These matrix elements also contain a gauge link…

High Energy Physics - Phenomenology · Physics 2022-03-02 P. J. Mulders , M. G. A. Buffing , A. Mukherjee

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

We set up the Kosower, Maybee, O'Connell formalism for generic spin following a previous field theory construction and use it to extract a next-to-leading order eikonal formula for the linear-in-spin momentum impulse, $\Delta p^{\mu}$, and…

High Energy Physics - Theory · Physics 2023-12-11 Juan Pablo Gatica

The status of lattice calculations of the quark spin, the quark orbital angular momentum, the glue angular momentum and glue spin in the nucleon is summarized. The quark spin calculation is recently carried out from the anomalous Ward…

High Energy Physics - Phenomenology · Physics 2016-03-23 Keh-Fei Liu

New Lorentz Invariance Relations (LIRs) were presented between twist-three Generalized Parton Distributions (GPDs) and transverse momentum, $k_T$, moments of twist-two Generalized Transverse Momentum-Dependent Distributions (GTMDs). By…

High Energy Physics - Phenomenology · Physics 2018-02-22 Simonetta Liuti , Michael Engelhardt , Abha Rajan

How do the quark and gluon share the nucleon momentum? How does the nucleon spin distribute among its constituents? What means the quark and gluon momentum, spin and orbital angular momentum? These problems are analyzed and a solution is…

High Energy Physics - Phenomenology · Physics 2015-06-18 Fan Wang , W. M. Sun , X. S. Chen , P. M. Zhang

Transverse parton momentum dependent distribution functions (TMDs) of the nucleon are studied in a covariant model, which describes the intrinsic motion of partons in terms of a covariant momentum distribution. The consistency of the…

High Energy Physics - Phenomenology · Physics 2009-09-02 A. V. Efremov , P. Schweitzer , O. V. Teryaev , P. Zavada

Transition generalized parton distributions have emerged as a novel tool for studying the quantum chromodynamics (QCD) structure of resonances. They provide an integrated picture of the transition form factors and the transition parton…

High Energy Physics - Phenomenology · Physics 2023-07-11 June-Young Kim