Evidence of self-affine multiplicity fluctuation of particle production in 84Kr–emulsion interactions at 1.7 A GeV

Abstract

Self-affine multiplicity fluctuation is investigated by using the two-dimensional factorial moment methodology and the concept of the Hurst exponent (H). Investigation on the experimental data of compound particles and target fragments emitted in 84Kr–AgBr interactions at 1.7 A GeV reveals that the best power law behaviours are exhibited at H = 0.7 and 0.6 respectively, and the data for shower particles produced in 84Kr-emulsion interactions at 1.7 A GeV indicate that the best power law behaviour occurs at H = 0.6, all of which show the self-affine multiplicity fluctuation patterns. The multifractality and the non-thermal phase transition occurring during producing the compound particles, the target fragments, and the shower particles in the 84Kr–AgBr interaction and the 84Kr–emulsion interaction are also discussed. The multifractality is observed during producing compound particles, target fragments, and shower particles. In the target fragment production, an evidence of non-thermal phase transition is observed, but in the shower particle production and the compound particle production, no evidence of non-thermal phase transition is observed.