Second Hagedorn temperature and glueball formation

We argue that confinement involving higher representations of SU(N) in singlet Ranti R bound states may occur at higher Hagedorn temperatures. The simplest possibility corresponds to the case when the binding potential is proportional to the quadratic Casimir Csub(R). The lowest Hagedorn temperature Tsub(H1) is the temperature for qanti q meson formation. The next, Tsub(H2), is the temperature for glueball hadronization. Higher representation Ranti R bound states are not likely to occur. The second Hagedorn temperature, separating the physics of hadrons from the physics of QCD plasma, plays the role of the deconfining temperature. Simple effective potential estimates give Tsub(H2)/Tsub(H1)approx.=(Csub(A)/Csub(F))sup(1/2)=3/2, in SU(3), with Tsub(H2)=395 MeV and Tsub(H1)=210 MeV, and for the glueball spin-averaged mass, μsub(G)=1370 MeV. Glueballs, in comparison with normal hadrons, are produced with larger psub(T) and larger multiplicities. (orig.)