Production of $\psi (4040)$, $\psi (4160)$, and $\psi (4415)$ mesons in strong interactions

Abstract

Using the inelastic scattering of charmed strange mesons by open-charm mesons in hadronic matter produced in Pb-Pb collisions at the Large Hadron Collider, we study the production of $\psi (4040)$, $\psi (4160)$, and $\psi (4415)$ mesons. Master rate equations are established for inelastic scattering. The scattering is caused by quark interchange in association with color interactions between all constituent pairs in different mesons. We consider fifty-one reactions between charmed strange and open-charm mesons. Unpolarized cross sections for the reactions are obtained from a temperature-dependent interquark potential. The temperature dependence of the cross sections causes the contributions of the reactions to the production of $\psi (4040)$, $\psi (4160)$, and $\psi (4415)$ to change with decreasing temperature during the evolution of hadronic matter. For central Pb-Pb collisions at $\sqrt{s_{NN}}=5.02$ TeV, the master rate equations reveal that the $\psi (4040)$ number density is larger than the $\psi (4160)$ number density which is larger than the $\psi (4415)$ number density.

64 pages, 29 figures, 9 tables; discussions added

References in corpus (15)

• The pion-pion scattering amplitude. IV: Improved analysis with once subtracted Roy-like equations up to 1100 MeV
• Constituent quark model study of the meson spectra
• Amplitude analysis of the $B^{+}\to D^{+}{D}^{-}{K}^{+}$ decay
• Studying the validity of relativistic hydrodynamics with a new exact solution of the Boltzmann equation
• Prompt D${}^0$, D${}^{+}$, and D${}^{\ast +}$ production in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV
• Charmonium resonances in the 3.9 GeV/$c^2$ energy region and the $X(3915)/X(3930)$ puzzle
• Production of K${}^{\ast }(892{)}^0$ and $\varphi (1020)$ in pp and Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}=5.02$ TeV
• Cross section measurement of $e^{+}{e}^{-}\to {\eta }^{\prime }J/\psi$ from $\sqrt{s}=4.178$ to $4.600$ GeV
• Angular analysis of the $e^{+}{e}^{-}\to D^{(\ast )\pm }{D}^{\ast \mp }$ process near the open charm threshold using initial-state radiation
• Measurement of cross sections for $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}$ at center-of-mass energies from 3.80 to 4.60 GeV
• Temperature-dependent Cross Sections for Charmonium Dissociation in Collisions with Pions and Rhos in Hadronic Matter
• Measurement of $e^{+}{e}^{-}\to \gamma {\chi }_{c0,c1,c2}$ cross sections at center-of-mass energies between 3.77 and 4.60 GeV
• qqqbar to qqqbar and qqbarqbar to qqbarqbar Elastic Scatterings and Thermalization of Quark Matter and Antiquark Matter
• Inelastic Meson-Meson Scattering in Hadronic Matter
• Foundation of Hydrodynamics of Strongly Interacting Systems