Calculation of Specific Heat at 3 GeV in Au-Au FXT collisions

A fundamental problem in particle physics is locating the critical point of the confinement-deconfinement phase transition. We assume that in heavy-ion collisions each event can be approximated to a thermodynamic state and employ statistical mechanics to find this critical point. Thermodynamic response functions like specific heat and isothermal compressibility show discontinuities at the critical point. Studying these observables in an event-by-event analysis should give us the location of the critical point. We develop analysis techniques to calculate the specific heat at the kinetic freeze-out. This analysis is being carried out in Au-Au collisions at 3 GeV FXT and at BES-I,II energies from the STAR experiment at RHIC. We also report the first thermalization prescription at these few energy regimes where the stopped protons play a dominant role in thermalizing the system.