Evidence of phase transition in the break up of Kr-projectile nuclei at 0.95A GeV

Projectile fragmentation mechanism and the possible liquid gas phase transition have been studied by extracting the critical exponents using cluster approximation technique. A ‘toy model’, schematically accounting for pre-equilibrium, has been developed and various moments as well as conditional moments have been evaluated with the data obtained from the toy model to see the effect of mass conservation constraint. An exponent δ, related to third order moment, has been evaluated to obtain a set of values of γ, β and τ that follow the corresponding scaling relation. The values of γ, β and τ so obtained are found to be 1.34±0.19, 0.54±0.15 and 2.31±0.06 respectively.