Further study on the doubly heavy baryon production around the Z 0 peak at a high luminosity e + e − collider

The doubly heavy baryon ${\ensuremath{\Xi}}_{Q{Q}^{\ensuremath{'}}}$ (${Q}^{(\ensuremath{'})}=b$ or $c$) is different from the ordinary baryons. The production of the doubly heavy baryon can provide valuable insight on how the colored $(Q{Q}^{\ensuremath{'}})$ diquark can be transformed into the color-singlet baryon. We study the doubly heavy baryon production through the ${e}^{+}{e}^{\ensuremath{-}}$ annihilation channel, ${e}^{+}+{e}^{\ensuremath{-}}\ensuremath{\rightarrow}\ensuremath{\gamma}/{Z}^{0}\ensuremath{\rightarrow}{\ensuremath{\Xi}}_{Q{Q}^{\ensuremath{'}}}+\overline{Q}+{\overline{Q}}^{\ensuremath{'}}$, within the nonrelativistic QCD framework. We calculate the baryon transverse momentum and the rapidity distributions for all these channels. Typical transverse momentum and rapidity cuts are adopted to show the properties of these distributions in detail. At a ${e}^{+}{e}^{\ensuremath{-}}$ collider that runs around the ${Z}^{0}$-boson mass with a high luminosity up to $\mathcal{L}\ensuremath{\simeq}{10}^{34\char21{}36}\text{ }\text{ }{\mathrm{cm}}^{\ensuremath{-}2}\text{ }{\mathrm{s}}^{\ensuremath{-}1}$, in comparison to the Belle and BABAR experiments, it is found that sizable ${\ensuremath{\Xi}}_{cc}$, ${\ensuremath{\Xi}}_{bc}$ and ${\ensuremath{\Xi}}_{bb}$ events can be produced even after performing reasonable baryon transverse momentum and rapidity cuts.