Doubly Heavy Baryon Production at A High Luminosity $e^{+}{e}^{-}$ Collider

Abstract

Within the framework of nonrelativistic QCD, we make a detailed discussion on the doubly heavy baryon production through the $e^{+}{e}^{-}$ annihilation channel, $e^{+}{e}^{-}\to \gamma /Z^0\to {\Xi }_{Q{Q}^{\prime }}+\bar{Q}+\overline{Q^{\prime }}$, at a high luminosity $e^{+}{e}^{-}$ collider. Here $Q^{(\prime )}$ stands for the heavy $b$ or $c$ quark. In addition to the channel through the usually considered diquark state $(Q{Q}^{\prime }){[}^3{S}_1{]}_{\bar{3}}$, contributions from the channels through other same important diquark states such as $(Q{Q}^{\prime }){[}^1{S}_0{]}_6$ have also been discussed. Uncertainties for the total cross sections are predicted by taking $m_c=1.80\pm 0.30$ GeV and $m_b=5.10\pm 0.40$ GeV. At a super $Z$-factory running around the $Z^0$ mass and with a high luminosity up to $\mathcal{L}\propto 10^{34}\sim 10^{36}{\mathrm{cm}}^{-2}{\mathrm{s}}^{-1}$, we estimate that about $1.1\times 10^{5\sim 7}$ ${\Xi }_{cc}$ events, $2.6\times 10^{5\sim 7}$ ${\Xi }_{bc}$ events and $1.2\times 10^{4\sim 6}$ ${\Xi }_{bb}$ events can be generated in one operation year. Such a $Z$-factory, thus, will provide a good platform for studying the doubly heavy baryons in comparable to the CERN large hadronic collider.

Comments: 9 pages, 4 figures. To be published in Phys.Rev. D