Production of doubly heavy baryon at the Muon-Ion collider*

Abstract This study forecasts the production of doubly heavy baryons, , , and , within the nonrelativistic QCD framework at the Muon-Ion Collider (MuIC). It examines two production mechanisms: photon-gluon fusion ( ) and extrinsic heavy quark channels ( ), where and denote heavy quarks ( or ) and represents a diquark in specific spin-color configurations. The diquark fragments into baryons with high probability. For and , the relevant configurations are (spin-singlet and color-sextuplet) and (spin-triplet and color-antitriplet). For , the configurations are , , , and . The study compares total and differential cross-sections for these channels, highlighting their uncertainties. The results indicate that the extrinsic heavy quark channel, particularly the configuration, dominates production, though other diquark states also contribute significantly. Using quark masses GeV and GeV, the study estimates annual event yields at MuIC ( TeV, luminosity ) of for , for , and for . These findings suggest that MuIC will significantly enhance our understanding of doubly heavy baryons.