We construct the density of states for quarks and gluons using the “Thomas-Fermi model” for atoms and the “Bethe model” for nucleons as templates. With parameters to take care of the plasma (hydrodynamical) features of the quark-gluon plasma (QGP) with a thermal potential for the interaction, we find a window in the parametric space of the model where observable QGP droplets of $\sim 5\mathrm{fm}$ radius can occur with transition temperature in the range $140–250\mathrm{MeV}$. By matching with the expectations of lattice gauge estimates of the QGP-hadron transitions, we can further narrow the window, thereby restricting the allowed values of the flow-parameters of the model.

• Received 7 June 2004

DOI:https://doi.org/10.1103/PhysRevC.70.027903