Dissociation Cross Sections of Large-Momentum Charmonia with Light Mesons in Hadronic Matter

Abstract

Momenta of charmonia created in Pb-Pb collisions at the Large Hadron Collider are so large that three or more mesons may be produced when the charmonia collide with light mesons in hadronic matter. We study the meson-charmonium collision in a mechanism where the collision produces two quarks and two antiquarks, the charm quark then fragmenting into charmed mesons, and the other three constituents as well as quarks and antiquarks created from vacuum give rise to two or more mesons. The absolute square of the transition amplitude for the production of two quarks and two antiquarks is derived from the $S$-matrix element, and cross-section formulas are derived from the absolute square of the transition amplitude and charm-quark fragmentation functions. With a temperature-dependent quark potential, we calculate unpolarized cross sections for inclusive $D^{+}$, $D^0$, $D_s^{+}$, or $D^{\ast +}$ production in scattering of charmonia by $\pi$, $\rho$, $K$, or $K^{\ast }$ mesons. At low center-of-mass energies of the charmonium and the light meson, the cross sections are very small. At high energies the cross sections have obvious temperature dependence, and are comparable to peak cross sections of two-to-two meson-charmonium reactions.

47 pages, 12 figures, 14 tables

References in corpus (5)

• Charmed-Meson Fragmentation Functions with Finite-Mass Corrections
• Properties of open and hidden charm mesons in light quark matter
• J/psi dissociation by light mesons in an extended Nambu Jona-Lasinio model
• Temperature-dependent Cross Sections for Charmonium Dissociation in Collisions with Pions and Rhos in Hadronic Matter
• Quarkonium interactions with (hot) hadronic matter