Abstract
Quantum correlations at higher-order were measured in lead-lead collisions at the world largest collider, and a substantial suppression was reported while measuring the three and four pions interferences. The fraction of coherence owing to pion generation in collisions of heavy ions at extreme energies can be investigated along with this suppression. We show and examine pions excretion from a dispersion grouping of droplets using Bose-Einstein condensation which influences the multi-pion correlations to study the structure of the sources as well as the peculiarities of the coherence fraction in collisions at higher energy. We surmised that pions appear to be the preeminent contender for coherence fractions in the following sequence and the correlation functions resulted in the creation of a composite phase of partons-hadronic matter. The main contribution of this research is that we explore the sequences of three and four particles correlations as well as the genuine correlations carried out to probe the fraction of pions condensation during the collisions of heavy nuclei employing a granular structured source. We perceived the considerable difference in the normalized correlations functions between two sources at various droplets number and coherence fractions with this unique technique. We also compared our model results to the scientific results and obtained the coherent fraction which is consistent with the experimental data.