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While twist-2 GPDs allow for a determination of the distribution of partons on the transverse plane, twist-3 GPDs contain quark-gluon correlations that provide information about the average transverse color Lorentz force acting on quarks.…

High Energy Physics - Phenomenology · Physics 2020-01-17 Fatma P. Aslan , Matthias Burkardt , Marc Schlegel

We have dealt with the twist-4 T-even transverse momentum-dependent parton distributions (TMDs) for the case of proton in the light-front quark-diquark model (LFQDM). By decoding the unintegrated quark-quark correlator for the…

High Energy Physics - Phenomenology · Physics 2024-05-02 Shubham Sharma , Harleen Dahiya

A general formalism to evaluate time-reversal odd transverse momentum dependent parton distributions (T-odd TMDS) is reviewed and applied to the calculation of the leading-twist quantities, i.e., the Sivers and the Boer-Mulders functions.…

High Energy Physics - Phenomenology · Physics 2015-05-30 Sergio Scopetta

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 compute the contribution of the gluonic component of the energy-momentum tensor (EMT) to the angular momentum density in various decompositions. We use the light-front Hamiltonian technique, and a two-component formalism in light-front…

High Energy Physics - Phenomenology · Physics 2024-11-28 Asmita Mukherjee , Sudeep Saha , Ravi Singh

We discuss the twist-three, unpolarized, chiral-odd, transverse momentum dependent parton distribution (TMD) $e^q(x,k_\perp)$ within a light-front model. We review a model-independent decomposition of this TMD, which follows from the QCD…

High Energy Physics - Phenomenology · Physics 2018-12-06 B. Pasquini , S. Rodini

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

Using the framework of QCD sum rules we predict the twist-3 contribution to the second moment of the polarized nucleon structure function $g_2(x)$. As the relevant local operator depends explicitely on the gluon field, we employ a recently…

High Energy Physics - Phenomenology · Physics 2011-08-11 E. Stein , P. Gornicki , L. Mankiewicz , A. Schaefer , W. Greiner

We revisit the problem of the small Bjorken-$x$ asymptotics of the quark and gluon orbital angular momentum (OAM) distributions in the proton utilizing the revised formalism for small-$x$ helicity evolution derived recently in a paper by…

High Energy Physics - Phenomenology · Physics 2023-07-20 Brandon Manley

We derive a sum rule for the total quark angular momentum of a spin-one hadronic system within a gauge invariant decomposition of the hadron's spin. We show that the total angular momentum can be measured through deeply virtual Compton…

High Energy Physics - Phenomenology · Physics 2015-03-17 Swadhin K. Taneja , Kunal Kathuria , Simonetta Liuti , Gary R. Goldstein

The higher twist T-even transverse momentum dependent distribution (TMD) $h_3(x, {\bf p_\perp^2})$ for the proton has been examined in the light-front quark-diquark model (LFQDM). By deciphering the unintegrated quark-quark correlator for…

High Energy Physics - Phenomenology · Physics 2024-05-24 Shubham Sharma , Harleen Dahiya

We study the QCD evolution for the twist-three quark-gluon correlation functions associated with the transverse momentum odd quark distributions. Different from that for the leading twist quark distributions, these evolution equations…

High Energy Physics - Phenomenology · Physics 2009-07-09 Jian Zhou , Feng Yuan , Zuo-Tang Liang

We investigate the helicity dependent generalized parton distributions (GPDs) in momentum as well as transverse position (impact) spaces for up and down quarks in a proton when the momentum transfer in both the transverse and longitudinal…

High Energy Physics - Phenomenology · Physics 2017-09-28 Chandan Mondal

We present a calculation of the leading-twist (twist-2) generalized transverse momentum distributions (GTMDs) for unpolarized and longitudinally polarized gluons in the proton, using a recently developed light-front gluon spectator model…

High Energy Physics - Phenomenology · Physics 2025-12-23 Dipankar Chakrabarti , Bheemsehan Gurjar , Asmita Mukherjee , Kauship Saha

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

This article reports the modeling of inertial rotational Brownian motion as an Ornstein-Uhlenbeck process evolving on the cotangent bundle of the rotation group, SO(3). The benefit of this approach and the use of a different…

Statistical Mechanics · Physics 2023-03-14 Amitesh S. Jayaraman , Jikai Ye , Gregory S. Chirikjian

Applying the connection between the parton Wigner distribution and orbital angular momentum (OAM), we investigate the probe of the gluon OAM in hard scattering processes at the planned electron-ion collider. We show that the single…

High Energy Physics - Phenomenology · Physics 2017-05-17 Xiangdong Ji , Feng Yuan , Yong Zhao

We investigate the different decompositions of the angular momentum in QCD for a relativistic spin $1/2$ composite state, namely a quark dressed with a gluon. We use light-front Hamiltonian perturbation theory, and in the light-front gauge,…

High Energy Physics - Phenomenology · Physics 2023-12-15 Ravi Singh , Sudeep Saha , Asmita Mukherjee , Nilmani Mathur

We investigate the helicity dependent twist-two and twist-three generalized parton distributions in light-front Hamiltonian QCD for a massive dressed quark target. Working in the kinematical region $\xi< x <1$, we obtain the splitting…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. Mukherjee , M. Vanderhaeghen

Quark light cone momentum distributions in the nucleon are calculated in a relativistic 3-body approach to the NJL model by using a simple 'static approximation' for the Faddeev kernel. A method is presented which automatically satisfies…

Nuclear Theory · Physics 2011-07-19 H. Mineo , W. Bentz , K. Yazaki