Properties of the specific heat and chemical potentials of hadronic matter from CERN/RHIC experiments at relativistic and ultrarelativistic collision energies

The specific heat, mean hadronic mass excited and its fluctuation are connected to particle production yields and properties of baryon and electric charge chemical potentials (value, slope and curvature). A possible divergence of the specific heat as 1/(T0-T)2 is discussed. A Hagedorn model with rho~m-tauexp(betahm) is studied and restriction on tau are analyzed. Limitations imposed by a Q-g transition are mentioned.