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 (ng). 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.

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Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.