Quark Wigner distributions and orbital angular momentum in light-front dressed quark model

For transversely polarized nucleons the distribution of quarks in the transverse plane is transversely shifted and that shift can be described in terms of Generalized Parton Distributions (GPDs). This observation provides a 'partonic' derivation of the Ji-relation for the quark angular momentum in terms of GPDs. Wigner distributions are used to show that the difference between the Jaffe-Manohar definiton of quark orbital angular momentum and that of Ji is equal to the change of orbital angular momentum due to the final state interactions as the struck quark leaves the target in a DIS experiment.

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PARTONIC PICTURE OF GTMDS

International Journal of Modern Physics Conference Series ◽

10.1142/s201019451460009x ◽

2014 ◽

Vol 25 ◽

pp. 1460009 ◽

Cited By ~ 8

Author(s):

SIMONETTA LIUTI ◽

ABHA RAJAN ◽

AURORE COURTOY ◽

GARY R. GOLDSTEIN ◽

J. OSVALDO GONZALEZ HERNANDEZ

Keyword(s):

Angular Momentum ◽

Compton Scattering ◽

Orbital Angular Momentum ◽

Scattering Amplitude ◽

Final State Interaction ◽

Deeply Virtual Compton Scattering ◽

Virtual Compton Scattering ◽

Matrix Elements ◽

Final State ◽

Wigner Distributions

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 unpolarized quark in a longitudinally polarized nucleon, can enter the deeply virtual Compton scattering amplitude only through matrix elements involving a final state interaction. The relevant matrix elements in turn involve light cone operators projections in the transverse direction, or they appear in the deeply virtual Compton scattering amplitude at twist three. Orbital angular momentum or the spin structure of the nucleon was a major reason for these various distributions and amplitudes to have been introduced. We show that twist three contributions to deeply virtual Compton scattering provide observables related to orbital angular momentum.

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Orbital Angular Momentum on the Light-Front and QCD Observables

10.2172/877429 ◽

2006 ◽

Author(s):

Stanley J. Brodsky

Keyword(s):

Angular Momentum ◽

Orbital Angular Momentum ◽

Light Front

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Quark Orbital Angular Momentum and Final State Interactions

International Journal of Modern Physics Conference Series ◽

10.1142/s2010194515600356 ◽

2015 ◽

Vol 37 ◽

pp. 1560035 ◽

Cited By ~ 1

Author(s):

Matthias Burkardt

Keyword(s):

Angular Momentum ◽

Orbital Angular Momentum ◽

Final State ◽

Spin Asymmetries ◽

Single Spin ◽

Wigner Distributions ◽

Single Spin Asymmetries ◽

Quark Orbital Angular Momentum ◽

The Difference ◽

Definition Of

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 definitions can be interpreted as the change in the quark orbital angular momentum as it leaves the target in a DIS experiment. The mechanism responsible for that change is similar to the mechanism that causes transverse single-spin asymmetries in semi-inclusive deep-inelastic scattering.

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QUARK ORBITAL ANGULAR MOMENTUM AND FINAL STATE INTERACTIONS

International Journal of Modern Physics Conference Series ◽

10.1142/s2010194514600295 ◽

2014 ◽

Vol 25 ◽

pp. 1460029 ◽

Cited By ~ 2

Author(s):

MATTHIAS BURKARDT

Keyword(s):

Angular Momentum ◽

Orbital Angular Momentum ◽

Final State ◽

Spin Asymmetries ◽

Single Spin ◽

Wigner Distributions ◽

Single Spin Asymmetries ◽

Quark Orbital Angular Momentum ◽

The Difference ◽

Definition Of

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 definitions can be interpreted as the change in the quark orbital angular momentum as it leaves the target in a DIS experiment. The mechanism responsible for that change is similar to the mechanism that causes transverse single-spin asymmetries in semi-inclusive deep-inelastic scattering.

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Mass formula for light nonstrange mesons and Regge trajectories in quark model

International Journal of Modern Physics A ◽

10.1142/s0217751x17501536 ◽

2017 ◽

Vol 32 (25) ◽

pp. 1750153 ◽

Cited By ~ 3

Author(s):

Duojie Jia ◽

Cheng-Qun Pang ◽

Atsushi Hosaka

Keyword(s):

Experimental Data ◽

Angular Momentum ◽

Quark Model ◽

Excited States ◽

Orbital Angular Momentum ◽

Mass Formula ◽

Field Method ◽

Auxiliary Field ◽

Regge Trajectories ◽

Light Mesons

We study the Regge-like spectra of light mesons in a relativized quark model. An analytical mass formula is presented for the light unflavored mesons with the help of auxiliary field method, by which a quasi-linear Regge–Chew–Frautschi plot is predicted for the orbitally excited states. We show that the trajectory slope is proportional to the inverse of the confining parameter [Formula: see text] when the orbital angular momentum [Formula: see text] is large. The result is tested against the experimental data of the spectra of the meson families [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] in the [Formula: see text] planes, with the fitted parameters consistent with that in the literatures.

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