DOE OSTI2024
High-energy heavy-ion collisions have been suggested as a favorable environment for the production of π΅ π mesons, due to a much larger abundance of charm and bottom quarks compared to elementary reactions. Motivated by recent CMS data for π΅$^{+}_{π}$ production in Pb-Pb(5.02 TeV) collisions at the Large Hadron Collider (LHC), we deploy a previously developed transport approach for charmonia and bottomonia to evaluate the kinetics of π΅ π mesons throughout the fireball formed in these reactions. The main inputs to our approach are two transport parameters: the π΅ π 's reaction rate and equilibrium limit. Both quantities are determined by previous calculations via a combination of charm and bottom sectors. In-medium binding energies of π΅ π mesons are calculated from a thermodynamic π matrix with a lattice-QCD constrained potential, and figure in their inelastic reaction rates. Temperature-dependent equilibrium limits include charm- and bottom-quark fugacities based on their initial production. We compute the centrality dependence of inclusive π΅ π production and transverse-momentum (π π ) spectra using two different recombination models: instantaneous coalescence and resonance recombination. The main uncertainty in the resulting nuclear modification factors, π
AA , is currently associated with the π΅ π cross section in elementary πβ’π collisions, caused by the uncertainty in the branching ratio for the π΅$^{β}_{π}$ β π½/πβ’π β β’$\overline{π}$ decay. Our results indicate a large enhancement of the π
AA at low π π , with significant regeneration contributions up to π π β 20GeV. Comparisons to CMS data are carried out but firm conclusions will require a more accurate value of the branching ratio, or alternative channels to measure the π΅ π production in πβ’ collisions.
73 NUCLEAR PHYSICS AND RADIATION PHYSICSβ