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Definitions of orbital angular momentum based on Wigner distributions are used as a framework to discuss the connection between the Ji definition of the quark orbital angular momentum and that of Jaffe and Manohar.We find that the…

High Energy Physics - Phenomenology · Physics 2015-06-05 Matthias Burkardt

We discuss in detail a method to study transverse momentum dependent parton distribution functions (TMDs) using lattice QCD. To develop the formalism and to obtain first numerical results, we directly implement a bi-local quark-quark…

High Energy Physics - Lattice · Physics 2012-07-17 Bernhard U. Musch , Philipp Hägler , John W. Negele , Andreas Schäfer

We calculate the orbital angular momentum of the `quark' in the scalar diquark model as well as that of the electron in QED (to order $\alpha$). We compare the orbital angular momentum obtained from the Jaffe-Manohar decomposition to that…

High Energy Physics - Phenomenology · Physics 2010-04-30 Matthias Burkardt , Hikmat BC

At the low energy, {\sl hadronic}, scale we calculate Orbital Angular Momentum (OAM) twist-two parton distributions for the relativistic MIT bag model and for non-relativistic quark models. We reach the scale of the data by leading order…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Scopetta , V. Vento

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…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. V. Bashinsky , R. L. Jaffe

We present the numerical solution of the one-loop QCD evolution equation for the genuine twist-three part of the orbital angular momentum (OAM) distributions of quarks and gluons inside a longitudinally polarized nucleon. This is based on…

High Energy Physics - Phenomenology · Physics 2019-09-30 Yoshitaka Hatta , Xiaojun Yao

Quark spin and orbital angular momentum in the nucleon are calculated in symmetry-breaking chiral quark model. The results are compared with data and other models.

High Energy Physics - Phenomenology · Physics 2007-05-23 X. Song

We analyse the baryon magnetic moments in a model that relates them to the parton spins $\Delta u$, $\Delta d$, $\Delta s$, and includes a contribution from orbital angular momentum. The specific assumption is the existence of a 3-quark…

High Energy Physics - Phenomenology · Physics 2014-11-17 M. Casu , L. M. Sehgal

We present results for the moments of nucleon isovector vector and axial generalised parton distribution functions computed within lattice QCD. Three ensembles of maximally twisted mass clover-improved fermions simulated with a physical…

We derive a new twist-3 partonic sum rule for the transverse spin of the proton, which involves the well-know quark spin structure function $g_T(x)=g_1(x)+g_2(x)$, the less-studied but known transverse gluon polarization density $\Delta…

High Energy Physics - Phenomenology · Physics 2021-06-30 Yuxun Guo , Xiangdong Ji , Kyle Shiells

We present the first lattice QCD calculation of the quark transverse spin-momentum correlation, i.e., the T-odd Boer-Mulders function, of the pion, using large-momentum effective theory (LaMET). The calculation is done at three lattice…

We introduce gauge-invariant quark and gluon angular momentum distributions after making a generalization of the angular momentum density operators. From the quark angular momentum distribution, we define the gauge-invariant and…

High Energy Physics - Phenomenology · Physics 2009-10-31 Pervez Hoodbhoy , Xiangdong Ji , Wei Lu

Orbital Angular Momentum (OAM) twist-two parton distributions are studied. At the low energy, hadronic, scale we calculate them for the relativistic MIT bag model and for non-relativistic potential quark models. We reach the scale of the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Sergio Scopetta , Vicente Vento

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

The role of transverse momentum of quarks in semi-inclusive leptoproduction will be discussed. It involves generalized distribution and fragmentation functions which depend on both the longitudinal lightcone momentum fraction of the quarks…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Jakob , A. Kotzinian , P. J. Mulders , J. Rodrigues

Calculation of moments of generalized parton distributions in lattice QCD requires more powerful techniques than those previously used to calculate moments of structure functions. Hence, we present a novel approach that exploits the full…

High Energy Physics - Lattice · Physics 2009-09-29 Philipp Hagler , John Negele , Dru Renner , Wolfram Schroers , Thomas Lippert , Klaus Schilling

The calculation of generalized parton distributions (GPDs) in lattice QCD was traditionally done by calculating matrix elements in the symmetric frame. Recent advancements have significantly reduced computational costs by calculating these…

We discuss the Wigner functions of the nucleon which provide multi-dimensional images of the quark distributions in phase space. They combine in a single picture all the information contained in the generalized parton distributions (GPDs)…

High Energy Physics - Phenomenology · Physics 2012-06-15 Cédric Lorcé , Barbara Pasquini

An array of the kaon twist-two, three, four generalised transverse momentum dependent parton distributions (GTMDs) has been investigated within the framework of covariant and confining Dyson-Schwinger equations using contact interaction.…

High Energy Physics - Phenomenology · Physics 2024-09-09 Jin-Li Zhang

Here we study the quark orbital angular momentum of the ground octet baryons employing an extended chiral constituent quark model, within which the baryon wave functions are taken to be superposition of the traditional $qqq$ and the…

High Energy Physics - Phenomenology · Physics 2023-03-01 Jing-Feng Li , Cheng Chen , Gang Li , Chun-Sheng An , Cheng-Rong Deng , Ju-Jun Xie