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We show that the recent claim that the expression 1/2 \int x dx [ H_q (x,0,0) + E_q(x,0,0)], involving the generalized parton distributions H and E, measures the transverse angular momentum of quarks in a transversely polarized nucleon, is…

High Energy Physics - Phenomenology · Physics 2012-11-21 Elliot Leader , Cédric Lorcé

Using the equations of motion of QCD and Lorentz invariance relations, we show a new, more direct way of obtaining the decomposition of the proton's quark transverse angular momentum into its spin and orbital components. The new…

High Energy Physics - Phenomenology · Physics 2024-10-30 Osamah Alkasassbeh , Abha Rajan , Michael Engelhardt , Simonetta Liuti

We present first results from our analysis of the most general quark-quark correlator of the nucleon, which can be parameterized in terms of so-called generalized transverse momentum dependent parton distributions. These results include the…

High Energy Physics - Phenomenology · Physics 2008-12-23 S. Meissner , A. Metz , M. Schlegel

Generalized parton distributions describe the distribution of partons in the transverse plane. For transversely polarized quarks and/or nucleons, these impact parameter dependent parton distributions are not axially symmetric. These…

High Energy Physics - Phenomenology · Physics 2008-11-26 Matthias Burkardt

Impact parameter dependent parton distributions are transversely distorted when one considers transversely polarized nucleons and/or quarks. This provides a physical mechanism for the T-odd Sivers effect in semi-inclusive deep-inelastic…

High Energy Physics - Phenomenology · Physics 2009-11-11 Matthias Burkardt

Parton distributions in impact parameter space, which are obtained by Fourier transforming GPDs, are exhibit a significant deviation from axial symmetry when the target and/or quark is transversely polarized. From this deformation, we…

High Energy Physics - Phenomenology · Physics 2015-05-20 Matthias Burkardt , Hikmat BC , Abdullah Jarrah

The Fourier transform of generalized parton distribution functions at xi=0 describes the distribution of partons in the transverse plane. The physical significance of these impact parameter dependent parton distribution functions is…

High Energy Physics - Phenomenology · Physics 2011-05-05 Matthias Burkardt

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

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 present an exploratory study using generalized parton distributions of several observables related to transverse degrees of freedom in hadronic structure -- the nucleon transverse momentum, the transverse radius, or impact parameter, and…

High Energy Physics - Phenomenology · Physics 2009-11-11 S. Liuti

The quark orbital angular momentum component of proton spin, $L_q$, can be defined in QCD as the integral of a Wigner phase space distribution weighting the cross product of the quark's transverse position and momentum. It can also be…

High Energy Physics - Phenomenology · Physics 2016-09-07 Abha Rajan , Aurore Courtoy , Michael Engelhardt , Simonetta Liuti

The fully unintegrated, off-diagonal quark-quark correlator for a spin-0 hadron is parameterized in terms of so-called generalized parton correlation functions. Such objects are of relevance for the phenomenology of certain hard exclusive…

High Energy Physics - Phenomenology · Physics 2009-01-12 S. Meissner , A. Metz , M. Schlegel , K. Goeke

I review progress on selected issues connected with generalized parton distributions. Topics range from the description of hard exclusive reactions to the spatial distribution of quarks in the nucleon and the contribution of their orbital…

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

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

We show that the gauge-invariant transverse-momentum-dependent (TMD) quark distribution function can be expressed as a sum of all higher-twist collinear parton matrix elements in terms of a transport operator. From such a general…

High Energy Physics - Phenomenology · Physics 2008-11-26 Zuo-tang Liang , Xin-Nian Wang , 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

Polarized structure functions at low $Q^2$ have the physical interpretation of (generalized) spin polarizabilities. At high $Q^2$, the polarized parton distribution $g_2(x)$ provides access to quark-gluon correlations in the nucleon. We…

High Energy Physics - Phenomenology · Physics 2009-05-27 Matthias Burkardt

For an unpolarized target, the generalized parton distribution $H_q(x,0,t)$ is related to the distribution of partons in impact parameter space. The transverse distortion of this distribution for a transversely polarized target is described…

High Energy Physics - Phenomenology · Physics 2009-11-07 Matthias Burkardt

We study the Wigner functions of the nucleon which provide multidimensional images of the quark distributions in phase space. These functions can be obtained through a Fourier transform in the transverse space of the generalized…

High Energy Physics - Phenomenology · Physics 2011-08-08 Cedric Lorce , Barbara Pasquini

Several possibilities to relate the $t$-dependence of Generalized Parton Distributions (GPDs) to the distribution of angular momentum in the transverse plane are discussed. Using a simple spectator model we demonstrate that non of them…

High Energy Physics - Phenomenology · Physics 2017-04-14 Lekha Adhikari , Matthias Burkardt
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