Quark-hadron phase transition study in hadron-nucleus interactions in self-affine scaling scenario

In the present work the phase transition and its dependence on target excitation has been studied in two dimensional ( ) self affine space using the experimental data of pions obtained from AgBr interactions at 350 GeV/c. For studying target excitation dependence the data for produced pions are divided into three sets depending on the number of grey particles ( g n ).The different sets corresponds to the different degrees of target excitation. The Levy indices measured from the analysis fulfills the requirement of the levy stable region 2 0 . The Levy index 1 indicates that a thermal phase transition may exist in the AgBr interactions at 350 GeV/c. Further the analysis indicates different degrees of multifractality for different target excitation. Moreover, the value of universal scaling exponent ( ) obtained from Ginzburg-Landau (GL) theory indicates that no evidence of second order phase transition has been found in the interaction.