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Related papers: Quark Wigner Distributions Using Light-Front Wave …

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We present a detailed investigation of the skewness dependence of quark Wigner distributions within the light-front dressed quark model. While previous studies have largely focused on the forward limit, we explore the impact of nonzero…

High Energy Physics - Phenomenology · Physics 2025-07-25 Sujit Jana , Vikash Kumar Ojha

The Wigner distributions for u and d quarks in a proton are calculated using the light front wave functions (LFWFs) of the scalar quark-diquark model for nucleon constructed from the soft-wall AdS/QCD correspondence. We present a detail…

High Energy Physics - Phenomenology · Physics 2016-07-29 D. Chakrabarti , T. Maji , C. Mondal , A. Mukherjee

We discuss the recent interpretation of quark-distribution functions in the plane transverse to the light-cone direction. Such a mapping is model independent and allows one to build up multidimensional pictures of the hadron and to develop…

High Energy Physics - Phenomenology · Physics 2015-05-20 Cédric Lorcé , Barbara Pasquini , Marc Vanderhaeghen

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

We investigate the quark Wigner distribution in a frame-independent, three-dimensional position space within the framework of the dressed quark model. It is observed that the distributions are concentrated near the center of the target and…

High Energy Physics - Phenomenology · Physics 2025-06-03 Sujit Janaa , Vikash Kumar Ojha

We study the Wigner functions of the nucleon which provide multidimensional images of the quark distributions in phase space and combine in a single picture all the information contained in the generalized parton distributions (GPDs) and…

High Energy Physics - Phenomenology · Physics 2022-03-02 Cedric Lorce , Barbara Pasquini

We present a new quasi-probability distribution function for ensembles of spin-half particles or qubits that has many properties in common with Wigner's original function for systems of continuous variables. We show that this function…

Quantum Physics · Physics 2013-03-04 Derek Harland , M. J. Everitt , Kae Nemoto , T. Tilma , T. P. Spiller

We investigate quark Wigner distributions in a light-cone spectator model. Both the scalar and the axial-vector spectators are included. The light-cone wave functions are derived from effective quark-spectator-nucleon vertex and then…

High Energy Physics - Phenomenology · Physics 2014-07-01 Tianbo Liu

Wigner phase space quasi-probability distribution function is a Fourier transform related to a given quantum mechanical wave function. It is shown that for the wave functions of type $\psi (q)=e^{-aq^2}\phi (q)$, the Wigner function can be…

Mathematical Physics · Physics 2008-01-02 A. Tegmen

The quantum phase-space approach allows one to define relativistic spatial distributions inside a target with arbitrary spin and arbitrary average momentum. We apply this quasiprobabilistic formalism to the whole electromagnetic…

High Energy Physics - Phenomenology · Physics 2023-01-11 Yi Chen , Cédric Lorcé

We demonstrate that the Wigner function of a pure quantum state is a wave function in a specially tuned Dirac bra-ket formalism and argue that the Wigner function is in fact a probability amplitude for the quantum particle to be at a…

Quantum Physics · Physics 2013-11-20 Denys I. Bondar , Renan Cabrera , Dmitry V. Zhdanov , Herschel A. Rabitz

In the beginning of the 1950's, Wigner introduced a fundamental deformation from the canonical quantum mechanical harmonic oscillator, which is nowadays sometimes called a Wigner quantum oscillator or a parabose oscillator. Also, in quantum…

Mathematical Physics · Physics 2008-06-27 E. I. Jafarov , S. Lievens , J. Van der Jeugt

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

We investigate the Wigner distributions and generalized transverse momentum-dependent distributions (GTMDs) for $u$ and $d$ quarks in the proton by using light-front quark-diquark model. We consider the contribution of scalar and…

High Energy Physics - Phenomenology · Physics 2018-10-29 Satvir Kaur , Harleen Dahiya

We consider the Wigner quasi-probability distribution function of a single mode of an electromagnetic or matter-wave field to address the question of whether a direct stochastic sampling and binning of the absolute square of the complex…

Quantum Physics · Physics 2016-09-13 R. J. Lewis-Swan , M. K. Olsen , K. V. Kheruntsyan

We propose a six-dimensional light-front Wigner distribution for the complete description of partonic structures of a hadron such as pion and proton, taking advantage of the recently proposed light-front variable $\tilde{z}$ by Miller and…

High Energy Physics - Phenomenology · Physics 2022-05-16 Yingda Han , Tianbo Liu , Bo-Qiang Ma

In every state of a quantum particle, Wigner's quasidistribution is the unique quasidistribution on the phase space with the correct marginal distributions for position, momentum, and all their linear combinations.

Quantum Physics · Physics 2022-01-19 Andreas Blass , Yuri Gurevich , Alexander Volberg

We present a recent calculation of the Wigner distributions of quarks and gluons in a perturbative model. We also present the results for the orbital angular momentum and the spin-orbit correlations.

High Energy Physics - Phenomenology · Physics 2015-11-11 Asmita Mukherjee

Wigner distributions play a significant role in formulating the phase space analogue of quantum mechanics. The Schrodinger wave-functional for solitons is needed to derive it for solitons. The Wigner distribution derived can further be used…

Quantum Physics · Physics 2026-01-28 Ramkumar Radhakrishnan , Vikash Kumar Ojha

The Wigner distributions (WDs) in boost-invariant longitudinal space for unpolarized, longitudinally polarized and linearly polarized gluons in a proton are presented in the framework of the light-front gluon spectator model inspired by…

High Energy Physics - Phenomenology · Physics 2026-03-27 Sonia , Tanmay Maji , Hemant Kumar