Photoproduction of doubly heavy baryons at future $e^{+}{e}^{-}$ colliders

Abstract

The photoprodution of doubly heavy baryon (${\Xi }_{cc},{\Xi }_{bb},{\Xi }_{bc}$) is investigated in the context of future high-energy and high-luminosity $e^{+}{e}^{-}$ colliders. The study incorporates two sources of initial photons, namely the LBS photon and the WWA photon. Alongside the direct photoproduction via the sub-process $\gamma +\gamma \to {\Xi }_{Q{Q}^{{}^{\prime }}}+\bar{Q}+\overline{Q^{{}^{\prime }}}$ ($Q^{{(}^{\prime })}=c,b$), the resolved photoproduction channels are specifically considered, encompassing the sub-processes $\gamma +g\to {\Xi }_{Q{Q}^{{}^{\prime }}}+\bar{Q}+\overline{Q^{{}^{\prime }}}$, $g+g\to {\Xi }_{Q{Q}^{{}^{\prime }}}+\bar{Q}+\overline{Q^{{}^{\prime }}}$, and $q+\bar{q}\to {\Xi }_{Q{Q}^{{}^{\prime }}}+\bar{Q}+\overline{Q^{{}^{\prime }}}$ with $q=u,d,s$. Within the framework of non-relativistic QCD, two $(cc(bb))$-diquark configurations, ${}_{\bar{\text{3}}}[{}^3{S}_1]$ and ${}_{\text{6}}[{}^1{S}_0]$, and four $(bc)$-diquark configurations, $(bc{)}_{\bar{\text{3}}}[{}^3{S}_1]$, $(bc{)}_{\text{6}}[{}^1{S}_0]$, $(bc{)}_{\text{6}}[{}^3{S}_1]$ and $(bc{)}_{\bar{\text{3}}}[{}^1{S}_0]$, are considered in the calculations. Numerical results show that the single resolved photoproduction processes provide dominant contributions under certain collision configuration. At the future $e^{+}{e}^{-}$ colliders, the doubly heavy baryon generated via the photoproduction mechanism is promisingly observable and can be well studied.