Charmonium, B_c and X(3872) Transport at the LHC

¹ Cyclotron Institute and Department of Physics and Astronomy, Texas A&M University, College Station, TX 77843-3366, USA
² Department of Applied Physics, Nanjing University of Science and Technology, Nanjing 210094, China

^* e-mail: bgwu@tamu.edu
^** e-mail: zhanduotang@tamu.edu
^*** e-mail: minhephys@gmail.com
^**** e-mail: rapp@comp.tamu.edu

Published online: 1 March 2023

Abstract

We deploy a kinetic-rate equation to evaluate the transport of J/ψ, ψ(2S), B_c and X (3872) in ultrarelativistic heavy-ion collisions and compare their production yields to experimental data from the Large Hadron Collider. The rate equation has two main transport parameters: the equilibrium limit and reaction rate for each state. The temperature-dependent equilibrium limits include charm- and bottom-quark fugacities based on their initial production. The reaction rates for charmonia, bottomonia and B_c rely on charm- and bottomquark masses and binding energies from a thermodynamic T-matrix approach. For the X (3872) particle, internal structure information is encoded in reaction rates and initial conditions in the hadronic phase via two different scenarios: a loosely bound hadronic molecule vs. a compact tetraquark.