Abstract：The research on doubly heavy baryons can offer good opportunities to study perturbative or non-perturbative QCD. The production of the doubly heavy baryon Ξbbis investigated at γγ collider. The contributions of both color triplet and sextet have been considered. Between 91 Ge V and 1000 Ge V, the total cross sections of Ξbbreduce as the collision energies raise up. However, the events of Ξbbproduction at different CM energies are generally the same due to different luminosities. Research results indicate that the initial beam polarization can effectively raise the production rate of Ξbb. At some collision points, the production rate of Ξbbcan be increased about 17% with an appropriate choice of the initial beam polarization.

Keyword：doubly heavy baryon;γγ collider;non-relative QCD;