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, D_q are found to decrease with increasing order of moments, q. The observation reflects the existence of multifractality in multiparticle production. The linear behaviour of D_q 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.