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

Abstract

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.

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

“…According to Mandelbrot [15] , when a given pattern is differently scaled in different directions, it is called self-affine fractal. Up to now most of the intermittency investigations of target fragments have been performed based on the selfsimilar nature of the fluctuations [6][7][8][9][10][16][17][18][19][20][21] ; only a few works report on the evidence of self-affine multiparticle production indicated by the data [22][23][24][25][26][27][28][29][30][31] .…”

Multiplicity fluctuations of target residues in forward and backward hemispheres in12C–AgBr interactions at 4.5AGeV

“…Previously we investigated the multiplicity fluctuations of the target-evaporated slow particles emitted from 12 C-AgBr interactions at 4.5 A GeV in the two-dimensional anisotropic (cos θ -φ) phase space [19]. That analysis confirmed that the nature of dynamical fluctuations during the emission of slow target residues is self-affine in nature in the case of 12 C-AgBr interactions at 4.5 A GeV.…”

Multiplicity fluctuation analysis of target residues in nucleus-emulsion collisions at a few hundred MeV/nucleon

“…In high energy nucleus-nucleus collisions, target fragmentation also may carried out the information about colliding mechanism. The non-statistical fluctuations of the emission of target evaporated fragments in lepton-nucleus, hadron-nucleus and nucleus-nucleus collisions at high energies have been investigated not only in one-dimensional phase-space [2][3][4][5][6][7][8][9][10][11] but also in twodimensional phase-space [12][13][14][15][16][17][18][19][20][21]. The evidence of non-statistical fluctuation of target evaporated fragments is obtained in most of these investigation, but in some of these studies [2,4,21] the saturation effect is observed in the dependence of the power law growth of the SFM and decreasing phase-space interval size, these effects indicate that there is not a non-statistical fluctuation in the emission of target evaporated fragments.…”