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

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

2010-08-16

arxiv.org/abs/1008.2684v1

Phys.Rev.D82:094005,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, 6 figures

Scientific paper

10.1103/PhysRevD.82.094005

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) $H_q(x,\xi,\Delta^2)$, $\widetilde{H}_q(x,\xi,\Delta^2)$ and $E_q(x,\xi,\Delta^2)$ 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.

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