Chiral-odd generalized parton distributions of sea quarks at $\xi=0$ in the light-cone quark model

Abstract

We study the chiral-odd generalized parton distributions (GPDs) of the $\bar{u}$ and $\bar{d}$ quarks inside the proton at zero skewness using the overlap representation within the light cone formalism. Using the light cone wave functions (LCWFs) of the proton obtained from the baryon-meson fluctuation model in terms of the $|q\bar{q}B\rangle$ Fock states, we provide the expressions of the GPDs $\widetilde{H}^{\bar{q}/P}_T(x,0,t)$, $H_T^{\bar{q}/P}(x,0,t)$ and $E_T^{\bar{q}/P}(x,0,t)$ for $\bar{q}=\bar{u}$ and $\bar{d}$. Numerical results for these GPDs in momentum space as well as in impact parameter space are presented. We further investigate certain combinations of the chiral-odd GPDs in impact parameter space to the spin-orbit correlation effect of the sea quarks.