The quark orbital angular momentum from Wigner distributions and light-cone wave functions
read the original abstract
We investigate the quark orbital angular momentum of the nucleon in the absence of gauge-field degrees of freedom, by using the concept of the Wigner distribution and the light-cone wave functions of the Fock state expansion of the nucleon. The quark orbital angular momentum is obtained from the phase-space average of the orbital angular momentum operator weighted with the Wigner distribution of unpolarized quarks in a longitudinally polarized nucleon. We also derive the light-cone wave function representation of the orbital angular momentum. In particular, we perform an expansion in the nucleon Fock state space and decompose the orbital angular momentum into the $N$-parton state contributions. Explicit expressions are presented in terms of the light-cone wave functions of the three-quark Fock state. Numerical results for the up and down quark orbital angular momenta of the proton are shown in the light-cone constituent quark model and the light-cone chiral quark-soliton model.
This paper has not been read by Pith yet.
Forward citations
Cited by 5 Pith papers
-
Accessing gluon GTMD $F^g_{1,4}$ via the $\langle\sin(2\phi)\rangle$ azimuthal asymmetry of exclusive $\pi^0$ production in $ep$ collisions
A light-front spectator model yields the first calculation of Im(F^g_{1,4}) and the resulting sin(2φ) asymmetry in ep → epπ⁰ at EIC kinematics.
-
Relativistic energy-momentum tensor distributions in a polarized nucleon
Relativistic EMT distributions in polarized nucleons recover good and bad light-front components in the IMF after including polarization effects.
-
QCD Wehrl and entanglement entropies in a gluon spectator model at small-$x$
In a gluon spectator model at small x, the normalized Husimi distribution yields a Wehrl entropy that decomposes into an entanglement entropy term matching CMS data and a transverse residual term.
-
T-odd Wigner Distributions in boost-invariant longitudinal position space and Spin-momentum correlation in proton
T-odd leading-twist GTMDs in σ-space exhibit -t-dependent oscillations with transverse-longitudinal interference, while Sivers and Boer-Mulders Wigner distributions encode proton spin-transverse momentum correlations.
-
GTMDs, orbital angular momentum, and pretzelosity
In the bag model, GTMD calculations are consistent, orbital angular momentum is tied to F_{1,4}^q through the Ji sum rule, and a deeper link to pretzelosity TMD is established.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.