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

Abstract

AbstractWe study the chiral-even generalized parton distributions (GPDs) of $${\bar{u}}$$ u ¯ and $${\bar{d}}$$ d ¯ quarks at zero skewness using the overlap representation within the light cone formalism. The GPDs of $${\bar{u}}$$ u ¯ and $${\bar{d}}$$ 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 $$|q{\bar{q}}B\rangle $$ | q q ¯ B ⟩ Fock states. We present the numerical results for $$H^{{\bar{u}}/P}(x,\xi ,\Delta ^2)$$ H u ¯ / P ( x , ξ , Δ 2 ) , $$H^{{\bar{d}}/P}(x,\xi ,\Delta ^2)$$ H d ¯ / P ( x , ξ , Δ 2 ) , $$E^{{\bar{u}}/P}(x,\xi ,\Delta ^2)$$ E u ¯ / P ( x , ξ , Δ 2 ) and $$E^{{\bar{d}}/P}(x,\xi ,\Delta ^2)$$ E d ¯ / P ( x , ξ , Δ 2 ) . We apply the model resulting GPDs to calculate the orbital angular momentum of the $${\bar{u}}$$ u ¯ and $${\bar{d}}$$ d ¯ quarks, showing that $$L^{{\bar{u}}/P}$$ L u ¯ / P , $$L^{{\bar{d}}/P}$$ L d ¯ / P are positive and $$L^{{\bar{u}}/P}$$ L u ¯ / P is smaller than $$L^{{\bar{d}}/P}$$ L d ¯ / P . The sea quark OAM distributions in the impact parameter space $$L_{{\bar{q}}}(x,{\varvec{b}}_{\varvec{T}})$$ L q ¯ ( x , b T ) are also calculated.