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The hadronization time of heavy quark in nuclear matter

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arxiv 1601.04449 v1 pith:5CUADWOZ submitted 2016-01-18 nucl-th nucl-ex

The hadronization time of heavy quark in nuclear matter

classification nucl-th nucl-ex
keywords heavyquarkhadronizationtimeantiquarkantiquarkscorrelationcritical
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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