Doubly charmed baryon production in heavy ion collisions
arXiv:1801.02652 · doi:10.1103/PhysRevD.97.074003
Abstract
We give an estimate of production rate and transverse momentum spectra in relativistic heavy ion collisions. We use Boltzmann transport equations to describe the dynamical evolution of charm quarks and diquarks inside quark-gluon plasma. In-medium formation and dissociation rates of charm diquarks are calculated from potential non-relativistic QCD for the diquark sector. We solve the transport equations by Monte Carlo simulations. For TeV Pb-Pb collisions with centrality, the number of produced in the transverse momentum range GeV and rapidity from to is roughly per collision. We repeat the calculation with a melting temperature MeV above which no diquarks can be formed. The number of produced in the same kinematic region is about per collision. We discuss how to study diquarks at finite temperature on a lattice and construct the anti-triplet free energy in a gauge invariant but path dependent way. We also comment on extensions of the calculation to other doubly heavy baryons and doubly heavy tetraquarks and the feasibility of experimental measurements.
9 pages, 3 figures, add a discussion of productions of other doubly heavy baryons and doubly heavy tetraquarks; add a discussion on diquark free energy on the lattice; add a comment on experimental feasibility; published version
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