Abstract

This is a review of the production of heavy quark states via relativistic heavy ion collisions in RHIC. The heavy quarks here are c, charm quark, and b, bottom quark. The states are charmonium meson states \(\psi\)(nS), with n=1,2 and upsilon meson states Y(mS), with m=1,2,3. Another nonperturbative theory, which is used in our review of mixed hybrid heavy quark mesons, is the method of Quantum Chromodynamics (QCD) sum rules. QCD sum rules were used to derive the result that the \(\psi\)(2S) and Y(3S) are mixed hybrid states, which increase their production cross sections. We also review the \(\psi\)(nS) and Y(mS) production cross sections via Cu-Cu and Au-Au collisions, which are very important for this review of the production of heavy quark states in RHIC. The possible detection of the Quark Gluon Plasma (QGP) is also reviewed.

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