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The manner in which probability amplitudes of paths sum up to form wave functions of orbital angular momentum eigenstates is described. Using a generalization of stationary-phase analysis, distributions are derived that provide a measure of…

Quantum Physics · Physics 2025-12-04 Randall M. Feenstra

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…

Generalized parton distributions (GPDs) provide a link between form factors, parton distributions and other observables. I discuss the connection between GPDs and parton distributions as a function of the impact parameter. Since this…

High Energy Physics - Phenomenology · Physics 2009-10-31 Matthias Burkardt

Parton distributions in impact parameter space, which are obtained by Fourier transforming GPDs, exhibit a significant deviation from axial symmetry when the target and/or quark is transversely polarized. In combination with the final state…

High Energy Physics - Phenomenology · Physics 2009-08-24 Matthias Burkardt

The quark orbital angular momentum (OAM) has been recognized as an important piece of the proton spin puzzle. A lot of effort has been invested in trying to extract it quantitatively from the generalized parton distributions (GPDs) and the…

High Energy Physics - Phenomenology · Physics 2015-06-12 Cedric Lorce , Barbara Pasquini

We discuss in detail the relativistic spatial distribution of transverse angular momentum, including both orbital and intrinsic spin contributions. Using the quantum phase-space formalism, we begin with the definition of the…

High Energy Physics - Phenomenology · Physics 2026-04-10 Cédric Lorcé , Asmita Mukherjee , Ravi Singh , Ho-Yeon Won

We present a study of the generalized parton distributions for the quarks in a proton in both momentum and position spaces using the light-front wave functions of a quark-diquark model for the nucleon predicted by the soft-wall model of…

High Energy Physics - Phenomenology · Physics 2015-07-14 Chandan Mondal , Dipankar Chakrabarti

Charged hadron differential distributions from muon-induced deep inelastic scattering, DIS, on a $^6$LiD target are presented as function of the DIS variables $x_{Bj}$, $Q^2$, $W^2$ and the hadron variables $p_T$ and $z$. They can be used…

High Energy Physics - Experiment · Physics 2010-08-31 Jean-Francois Rajotte

The transverse beam pattern, usually observed in experiment, is a result of averaging the optical-frequency oscillations of the electromagnetic field distributed over the beam cross section. An analytical criterion is derived that these…

Optics · Physics 2015-05-13 A. Ya. Bekshaev

We present a short overview on transverse momentum dependent parton distribution and fragmentation functions, giving their partonic interpretation and ways to access them. We then discuss the issue of their universality and its connection…

High Energy Physics - Phenomenology · Physics 2022-03-02 Umberto D'Alesio

We revisit the model for parametrization of momentum dependence of nucleon generalized parton distributions in the light of recent MRST measurements of parton distribution functions. Our parametrization method with minimum set of free…

High Energy Physics - Phenomenology · Physics 2016-12-21 Neetika Sharma

Our knowledge on the three-dimensional momentum structure of hadrons is encoded in the Transverse Momentum Dependent partonic distribution and fragmentation functions (TMDs). A brief and updated review of the TMDs and of the processes in…

High Energy Physics - Phenomenology · Physics 2015-05-30 M. Boglione

We present a systematic study of generalized transverse-momentum dependent parton distributions (GTMDs). By taking specific limits or projections, these GTMDs yield various transverse-momentum dependent and generalized parton distributions,…

High Energy Physics - Phenomenology · Physics 2011-05-12 Cédric Lorcé , Barbara Pasquini , Marc Vanderhaeghen

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

It is shown that off-forward parton distributions for $\zeta =0$, i.e. where the initial and final state differ only in their transverse momenta, can be interpreted as a simultaneous measurement of the longitudinal momentum and transverse…

High Energy Physics - Phenomenology · Physics 2014-11-17 Matthias Burkardt

We consider one of the most fundamental sets of hadronic matrix elements, namely the generalized transverse momentum distributions (GTMDs), and argue that their existing definitions lack proper evolution properties. By exploiting the…

High Energy Physics - Phenomenology · Physics 2016-06-13 Miguel G. Echevarria , Ahmad Idilbi , Koichi Kanazawa , Cédric Lorcé , Andreas Metz , Barbara Pasquini , Marc Schlegel

Transverse-momentum dependent parton distributions (TMDs) are studied in the framework of quark models. In particular, quark model relations among TMDs are reviewed and their physical origin is discussed in terms of rotational-symmetry…

High Energy Physics - Phenomenology · Physics 2015-05-28 Cedric Lorce , Barbara Pasquini

We present the general framework to calculate chiral-odd generalized parton distributions in the overlap representation using the Fock-state decomposition in the transverse spin basis. In the forward limit we derive the transversity…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Pincetti , B. Pasquini , S. Boffi

I give a brief overview of our current understanding of the internal partonic 3D structure of nucleons in momentum space. I discuss some recent extractions of transverse-momentum-dependent distributions for quarks, whose analyses in the…

High Energy Physics - Phenomenology · Physics 2025-01-16 Marco Radici

We present the distribution of unpolarized quarks in a transversely polarized proton in three-dimensional momentum space. Our results are based on consistent extractions of the unpolarized and Sivers transverse momentum dependent parton…

High Energy Physics - Phenomenology · Physics 2022-03-04 Alessandro Bacchetta , Filippo Delcarro , Cristian Pisano , Marco Radici
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