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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

Quark orbital angular momentum in the proton is evaluated via a Lattice QCD calculation of the second Mellin moment of the twist-3 generalized parton distribution $\widetilde{E}_{2T} $ in the forward limit. The connection between this…

High Energy Physics - Lattice · Physics 2024-06-04 M. Engelhardt , N. Hasan , S. Krieg , S. Liuti , S. Meinel , J. Negele , A. Pochinsky , M. Rodekamp , S. Syritsyn

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

It is shown that, based only on two empirically known facts besides two reasonable theoretical postulates, we are inevitably led to a conclusion that the quark orbital angular momentum carries nearly half of the total nucleon spin. We also…

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

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…

Nuclear Theory · Physics 2017-01-25 Matthias Burkardt

A theoretical prediction is given for the spin and orbital angular momentum distribution functions of the nucleon within the framework of an effective quark model of QCD, i.e. the chiral quark soliton model. An outstanding feature of the…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Wakamatsu , T. Watabe

We propose to detect signals from quark orbital angular momentum (OAM) through exclusive $\pi^0$ production in electron-(longitudinally-polarized) proton collisions. Our analysis demonstrates that the $\sin 2\phi$ azimuthal angular…

High Energy Physics - Phenomenology · Physics 2024-07-23 Shohini Bhattacharya , Duxin Zheng , Jian Zhou

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…

High Energy Physics - Phenomenology · Physics 2013-09-27 Simonetta Liuti , Aurore Courtoy , Gary R. Goldstein , J. Osvaldo Gonzalez Hernandez , Abha Rajan

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 study the connection between the quark orbital angular momentum and the pretzelosity transverse-momentum dependent parton distribution function. We discuss the origin of this relation in quark models, identifying as key ingredient for…

High Energy Physics - Phenomenology · Physics 2012-03-23 B. Pasquini , C. Lorce'

The determination of quark angular momentum requires the knowledge of the generalized parton distribution $E$ in the forward limit. We assume a connection between this function and the Sivers transverse-momentum distribution, based on model…

High Energy Physics - Phenomenology · Physics 2012-07-05 Alessandro Bacchetta , Marco Radici

We show that quark orbital angular momentum is directly related to off-forward correlation functions which include intrinsic transverse momentum corresponding to a derivative with respect to the transverse coordinates. Its possible…

High Energy Physics - Phenomenology · Physics 2009-11-10 Ph. Hagler , A. Mukherjee , A. Schafer

The coding space in quantum communication could be expanded to high-dimensional space by using orbital angular momentum (OAM) states of photons, as both the capacity of the channel and security are enhanced. Here we present a novel approach…

Quantum Physics · Physics 2021-01-01 Ziwen Pan , Jiarui Cai , Chuan Wang

We study the connection between the quark orbital angular momentum and the pretzelosity transverse-momentum dependent parton distribution function. We discuss the origin of this relation in quark models, identifying as key ingredient for…

High Energy Physics - Phenomenology · Physics 2015-06-03 C. Lorce' , B. Pasquini

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

We perform an analysis of the quark angular momentum in a light-cone representation by taking into account the effect due to the Melosh-Wigner rotation and find that there is a relativistic correction factor connecting the quark orbital…

High Energy Physics - Phenomenology · Physics 2009-10-31 Bo-Qiang Ma , Ivan Schmidt

We study the quark Wigner distributions of the pion meson which are the phase-space distributions containing the most general one-parton information.Using the pion wavefunctions deduced from a light-cone quark model, we calculate the Wigner…

High Energy Physics - Phenomenology · Physics 2018-10-03 Zhi-Lei Ma , Zhun Lu

The internal structure of hadrons is important for a variety of topics, including the hadron form factors, proton spin and spin asymmetry in polarized proton scattering. For a systematic study generalized parton distributions (GPDs) encode…

We determine the small Bjorken $x$ asymptotics of the quark and gluon orbital angular momentum (OAM) distributions in the proton in the double-logarithmic approximation (DLA), which resums powers of $\alpha_s \ln^2 (1/x)$ with $\alpha_s$…

High Energy Physics - Phenomenology · Physics 2019-05-01 Yuri V. Kovchegov

We investigate the Wigner distributions for $u$ and $d$ quarks in a light-front quark-diquark model of a proton to unravel the spatial and spin structure. The light-front wave functions are modeled from the soft-wall AdS/QCD prediction. We…

High Energy Physics - Phenomenology · Physics 2017-05-09 D. Chakrabarti , T. Maji , C. Mondal , A. Mukherjee