Modified Hagedorn formula including temperature fluctuation: Estimation of temperatures at RHIC experiments

We have systematically estimated the possible temperatures obtained from an analysis of recent data on pt distributions observed at RHIC experiments. Using the fact that the observed pt distributions cannot be described by the original Hagedorn formula in the whole range of transverse momenta (in particular above 6 GeV/c), we propose a modified Hagedorn formula including temperature fluctuation. We show that by using it we can fit pt distributions in the whole range and can estimate consistently the relevant temperatures, including their fluctuations.