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 Ψ ( n S ) , with n = 1,2 and upsilon meson states Υ ( m S ) , with m = 1,2,3. Quantum Chromodynamics (QCD) sum rules were used to derive the result that the Ψ ( 2 S ) and Υ ( 3 S ) are mixed hybrid states, which increase their production cross sections. We also review the Ψ ( n S ) and Υ ( m S ) 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.

Highlights

  • First we review Quantum Chromodynamics (QCD).The elementary fermions, with quantum spin 1/2, are quarks

  • Chromodynamics (QCD) sum rules were used to derive the result that the Ψ(2S) and Υ(3S) are mixed hybrid states, which increase their production cross sections

  • We review the Ψ(nS) and Υ(mS) production cross sections via Cu-Cu and Au-Au collisions, which is very important for this review of the production of heavy quark states via RHIC

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Summary

Introduction

Kronfelld [3] gives a detailed description of how Lattice Gauge Theory can calculate QCD interactions using computers Another nonperturbative theory, which is used in our review of mixed hybrid heavy quark mesons, is the method of QCD sum rules. This method, developed by M.A. Shifman, A.I. Vainstein, and V.I. Zakharov [4], does not require large computers. Light mesons, such as the π, consist of light quarks u, d and antiquarks ū, d. ̄ We do not need them in this Review

Review of Mixed Hybrid Heavy Quark Mesons and the Color Octet Model
QCD Sum Rules and Mixed Heavy Quark Hybrid Meson States
Cosmological Phase Transitions
Detection of the QGP via Hybrid Mesons Produced by RHIC
Creation and Detection of the QGP via A-A Collisions
Conclusions
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