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

Abstract

In the present work the phase transition and its dependence on target excitation has been studied in two dimensional (η-φ) self affine space using the experimental data of pions obtained from π^- -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 (n_g). The different sets corresponds to the different degrees of target excitation. The Levy indices μ measured from the analysis fulfills the requirement of the levy stable region 0 ≤ μ ≤ 2 . The Levy index μ <1 indicates that a thermal phase transition may exist in the π^- -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 ( ν ) obtained from Ginzburg-Landau (GL) theory indicates that no evidence of second order phase transition has been found in the interaction.