Hadronic production of the doubly heavy baryonΞbcat the LHC

Abstract

We investigate the hadronic production of the doubly heavy baryon ${\ensuremath{\Xi}}_{bc}$ at the Large Hadron Collider (LHC), where contributions from the four $(bc)$-diquark states $(bc{)}_{\overline{\mathbf{3}},\mathbf{6}}[^{1}S_{0}]$ and $(bc{)}_{\overline{\mathbf{3}},\mathbf{6}}[^{3}S_{1}]$ have been taken into consideration. Numerical results show that under the condition of ${p}_{T}>4\text{ }\text{ }\mathrm{GeV}$ and $|y|<1.5$, sizable ${\ensuremath{\Xi}}_{bc}$ events about $1.7\ifmmode\times\else\texttimes\fi{}{10}^{7}$ and $3.5\ifmmode\times\else\texttimes\fi{}{10}^{9}$ per year can be produced for the center-of-mass energy $\sqrt{S}=7\text{ }\text{ }\mathrm{TeV}$ and $\sqrt{S}=14\text{ }\text{ }\mathrm{TeV}$, respectively. For experimental usage, the total and the interested differential cross sections are estimated under some typical ${p}_{T}$ and $y$ cuts for the LHC detectors CMS, ATLAS, and LHCb. The main uncertainties are discussed and a comparative study on the hadronic production of ${\ensuremath{\Xi}}_{cc}$, ${\ensuremath{\Xi}}_{bc}$, and ${\ensuremath{\Xi}}_{bb}$ at the LHC are also presented.