Study of phase transition and its dependence on target excitation using fractal properties of pionization process

In the present work, phase transition and its dependence on target excitation in terms of Levy index and Ginzburg-Landau formalism using fractal properties of pionization process have been studied in ¹⁶O-AgBr and ³²S-AgBr interactions at incident energies of 60 and 200 AGeV, respectively. For this purpose, the pion data are divided into three sets depending upon the number of grey tracks (n_g). Two multifractal moments, namely, G-moment and Takagi moment, have been used as analyzing tools. The study reveals that the pion density distribution possesses multifractal structure for the two types of interactions and at all degrees of target excitation. Different types of phase transitions (thermal and non-thermal) at different energies are indicated by the data but no signal of quark-gluon plasma (QGP) phase transition is obtained. (author)