Multifractal study and multifractal specific heat of singly charged particles produced in 32S-Em interactions at 200 AGeV

Takagi moment method has been applied to investigate the multifractal behaviour of charged pions produced in the interaction of 32S beam with nuclear emulsion at 200 AGeV in pseudo-rapidity space. Following this method the multiplicity distributions are found to obey power law behaviour for experimental data for different nuclear targets. The generalised fractal dimensions, Dq are found to decrease with increasing order of moments, q. The observation reflects the existence of multifractality in multiparticle production. The linear behaviour of Dq as a function of ln q/(q − 1) favours the multifractal Bernoulli representation and the multifractal specific heat seems to have a universal value (∼1/4) that does not depend on the type of ions and their energy. The experimental results have been compared with those obtained from simulated events of the Monte Carlo code FRITIOF.