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.

Categories: hep-ph

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