Eur. Phys. J. C (2023) 83: 504
https://doi.org/10.1140/epjc/s10052-023-11637-1

Regular Article - Theoretical Physics

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

Department of Physics, Southeast University, 211189, Nanjing, China

^b zhunlu@seu.edu.cn

Received: 1 March 2023
Accepted: 18 May 2023
Published online: 13 June 2023

Abstract

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