Study of Levy stability and intermittent behaviour in 28Si-emulsion collisions at [formula omitted

Abstract

Modified power law has been used to study the behaviour of higher order and second order scaled factorial moments of relativistic shower particles produced in 28Si-emulsion collisions at 4.5 A GeV / c in pseudorapidity phase space for different N s -intervals. The intermittency exponents, ϕ q , are compared with the anomalous fractal dimensions, d q . The ratios of higher order and second order anomalous fractal dimensions ( d q / d 2 ) expressed in terms of the Levy stable law gives an evidence of self-similar cascading mechanism responsible for multiparticle production. The experimental data within different N s -intervals fulfills the requirement of the Levy stable region ( 0 ⩽ μ ⩽ 2 ). Moreover, the value of universal scaling exponent ( v) indicates that no clear evidence of second order phase transition has been found in the interactions. Finally, Renyi dimensions, D q , and multifractal spectrum, f ( α q ) , are determined in accordance with the Levy stable theory.