Evidence of self-affine target fragmentation process in relativistic nuclear collision at a few GeV/n

Self-affine multiplicity scaling is investigated in the framework of two-dimensional factorial moment methodology using the concept of Hurst exponent (H). Investigation on the experimental data of target fragments emitted in 12C-AgBr and 24Mg-AgBr interactions at 4.5 A GeV revealed that best power law behaviour is exhibited at H = 0.5 for 12C initiated interactions indicating self-affine multiplicity fluctuations. But for 24Mg-AgBr interactions it cannot be unambiguously concluded whether the nature of dynamical fluctuations is self-affine or self-similar. The signal of multifractality is observed for both the interactions