The hadronization time of heavy quark in nuclear matter

Abstract

We study the hadronization time of heavy quark in nuclear matter by using the coalescence model and the spatial diffusion constant of heavy quark from lattice Quantum Chromodynamic calculations, assuming that the main interaction of heavy quark at the critical temperature is hadronization. It is found that the hadronization time of heavy quark is about 3 fm/c for $2\pi T_c{D}_s=6$, if a heavy quark is combined with the nearest light antiquark in coordinate space without any correlation between momentum of heavy quark and that of light antiquark which form a heavy meson. However, the hadronization time reduces to 0.6-1.2 fm/c for charm and 0.4-0.9 fm/c for bottom, depending on heavy meson radius, in the presence of momentum correlation. Considering the interspace between quarks and antiquarks at the critical temperature, it seems that the hadronization of heavy quark does not happen instantaneously but gradually for a considerable time, if started from the thermal distribution of quarks and antiquarks.

5 pages, 2 figures

References in corpus (11)

• Observation of $D^0$ meson nuclear modifications in Au+Au collisions at $\sqrt{s_{{}_{\mathrm{NN}}}}$ = 200 GeV
• ${\mathbf{D}}_{\mathbf{s}}$-Meson as Quantitative Probe of Diffusion and Hadronization in Nuclear Collisions
• Open heavy flavor in Pb+Pb collisions at sqrt(s)=2.76 TeV within a transport model
• From Kadanoff-Baym dynamics to off-shell parton transport
• Charm production in Pb+Pb collisions at the Large Hadron Collider energy
• Azimuthal anisotropy of D meson production in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}=2.76$ TeV
• Dynamical quasiparticles properties and effective interactions in the sQGP
• Charm elliptic flow at RHIC
• Open and hidden charm in proton-nucleus and heavy-ion collisions
• Dynamical collisional energy loss and transport properties of on- and off-shell heavy quarks in vacuum and in the Quark Gluon Plasma
• Transport Theory of Heavy Flavor in Relativistic Nuclear Collisions

Cited by in corpus (8)

• Extraction of Heavy-Flavor Transport Coefficients in QCD Matter
• X(3872) Production in Relativistic Heavy-Ion Collisions
• Single electrons from heavy-flavor mesons in relativistic heavy-ion collisions
• The production of primordial $J/\psi$ in p+p and relativistic heavy-ion collisions
• Bottom energy loss and non-prompt $J/\psi$ production in relativistic heavy ion collisions
• Soft gluon emission from heavy quark scattering in strongly interacting quark-gluon plasma
• Prerequisites for heavy quark coalescence in heavy-ion collisions
• Charmonium production in a thermalizing heat bath