Orbital structure of quarks inside the nucleon in the light-cone diquark model

Zhun Lu; Ivan Schmidt

doi:10.1103/PhysRevD.82.094005

paper

Orbital structure of quarks inside the nucleon in the light-cone diquark model

arXiv:1008.2684 · doi:10.1103/PhysRevD.82.094005

Abstract

We study the orbital angular momentum structure of the quarks inside the proton. By employing the light-cone diquark model and the overlap representation formalism, we calculate the chiral-even generalized parton distribution functions (GPDs) $H_{q} (x, ξ, Δ^{2})$ , $H_{q} (x, ξ, Δ^{2})$ and $E_{q} (x, ξ, Δ^{2})$ at zero skewedness for $q = u$ and $d$ quarks. In our model $E_{u}$ and $E_{d}$ have opposite sign with similar size. Those GPDs are applied to calculate the orbital angular momentum (OAM) distributions, showing that $L_{u} (x)$ is positive, while $L_{d} (x)$ is consistent with zero compared with $L_{u} (x)$ . We introduce the impact parameter dependence of the quark OAM distribution. It describes the position space distribution of the quark orbital angular momentum at given $x$ . We found that the impact parameter dependence of the quark OAM distribution is axially symmetric in the light-cone diquark model.

15 pages, 6 figures

Orbital structure of quarks inside the nucleon in the light-cone diquark model

Abstract

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