Evidence of self-affine multiplicity fluctuation of target residues in ⁸⁴ Kr-AgBr interactions at 1.7 AGeV

Abstract

Self-affine multiplicity scaling is investigated in the framework of a two-dimensional factorial moment methodology using the concept of the Hurst exponent (H). Analyzing the experimental data of target evaporated fragments emitted in 84Kr-AgBr interactions at 1.7 AGeV revealed that the best power law behavior is exhibited for H = 0.3 indicating a self-affine multiplicity fluctuation pattern. A signal of multifractality is also observed from knowledge of the anomalous fractal dimension dq extracted from the intermittency exponent aq of the anisotropic phase space scenario.

Investigation of self-affine multiplicity fluctuations of proton emission in 84 Kr-AgBr interactions at 1.7 A GeV

“…From the plot it is seen that d q is linearly dependent on order q, which suggests the presence of multifractality of emission of medium-energy knocked-out protons in 84 Kr-AgBr interactions. It is the same as our previous result on target residue production in 84 Kr-AgBr interactions at the same energy [27] . It has been suggested that self-similar cascade can occur in different phases [28] , namely the normal phase populated by many relatively small fluctuations and the spin glass phase consisting of few very large fluctuations.…”

“…84 Kr-AgBr interactions at 1.7 AGeV [27] . Target recoil protons (gray particles) and target residues (black particles) originate from the target, but with different energies and production mechanisms.…”