Generalized parton distributions of sea quark at zero skewness in the light-cone Model

Abstract

We study the chiral-even generalized parton distributions (GPDs) of $\bar{u}$ and $\bar{d}$ quarks at zero skewness using the overlap representation within the light cone formalism. The GPDs of $\bar{u}$ and $\bar{d}$ quarks can be expressed as the convolution of the light cone wave functions which are obtained from the baryon-meson fluctuation model in terms of the $|q\bar{q}B\rangle$ Fock states. We present the numerical results for $H^{\bar{u}/P}(x,\xi,\Delta^2)$, $H^{\bar{d}/P}(x,\xi,\Delta^2)$, $E^{\bar{u}/P}(x,\xi,\Delta^2)$ and $E^{\bar{d}/P}(x,\xi,\Delta^2)$. We apply the model resulting GPDs to calculate the orbital angular momentum of the $\bar{u}$ and $\bar{d}$ quarks, showing that $L^{\bar{u}/P}$, $L^{\bar{d}/P}$ are positive and $L^{\bar{u}/P}$ is smaller than $L^{\bar{d}/P}$. The sea quark OAM distributions in the impact parameter space $L_{\bar{q}}(x,\boldsymbol{b_T})$ are also calculated.