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A study of rapidity gap probability has been carried out in 16 O-AgBr interactions at 2.1A GeV. The study reveals scaling behavior of the void probability. This analysis also confirms the validity of the linked-pair approximation for the N-particle cumulant correlation functions in the low energy regime.

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This book deals with a new set of triangular orthogonal functions, which evolved from the set of well known block pulse functions (BPF), a major member of the piecewise constant orthogonal function (PCOF) family.

The search for genuine two-particle dynamical correlations among the pions produced in 16 O-AgBr interactions at 60 AGeV and 32 S-AgBr interactions at 200 AGeV (super proton synchrotron data) has been carried out by the method of normalized factorial cumulant moments in pseudo-rapidity (η), azimuthal angle (φ) and two-dimensional anisotropic (η-φ) phase space. The analysis reveals the presence of genuine two-particle dynamical correlations among the pions in 16 O-AgBr and 32 S-AgBr interactions in both one and two dimensions. Stronger correlation has been observed in higher dimensional space. Correlations between the pions are found to decrease with the increase of projectile mass and energy. Experimental results have been compared with the FRITIOF data sample in the pseudo-rapidity space. In azimuthal angle space, events simulated by generating random numbers (Monte Carlo Simulation) have been used for the purpose of comparison. The FRITIOF data and the data of the simulated interactions have failed to reproduce the experimental results. The experimental results have also been compared with the event sample generated by the UrQMD model in both pseudo-rapidity and azimuthal angle space. Like the FRITIOF model, the UrQMD model is also unable to replicate the experimental results. The variation of normalized cumulant moment (K 2 ) against the number of bin M has been fitted with a function K 2 = aM b in both one and two dimensions. No fitting of this kind has been possible in the case of the FRITIOF data, UrQMD data and the MC simulated data. * This work is financially supported by University Grants Commision, Govt. of India (Sanction No PSW-044/11-12).