Study of Levy stability and intermittent behaviour in 28Si-emulsion collisions at image Original Research Article

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 View the MathML source in pseudorapidity phase space for different Ns-intervals. The intermittency exponents, ϕq, are compared with the anomalous fractal dimensions, dq. The ratios of higher order and second order anomalous fractal dimensions (dq/d2) 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 Ns-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, Dq, and multifractal spectrum, f(αq), are determined in accordance with the Levy stable theory.