The multiplicity-distribution of High-Energy-Interaction, had earlier been analysed w.r.t. clan-model and Negative-Binomial-Distribution(NBD), which described the underlying particle production process by means of cascading mechanism. Clan was defined to contain the particles stemming from the same ancestorsand Average-multiplicity within clan was deduced from the best fitted NBD for the multiplicity-distribution of full-phase-space. Since latest data couldn’t be confronted with NBD alone to deduce number of clans and their internal dynamics, we propose a new rigorous method using complex-network and chaos-based Visibility-Graph-algorithm to extract clusters from different rapidity-regions around the central-rapidity-(cr) of an exemplary data of 32S-AgBr(200 A GeV)-interaction. These clusters are found to be scale-free and self-similar. For each cluster Power-of-Scale-freeness-of-Visibility-Graph(PSVG), two important topological parameters – Average-clustering-co-efficient, Average-degree are extracted. The clan-model is revisited by correlating clusters with clans and Average-degree of the clusters with the number of particles in the clan. For each rapidity-region around (cr) the number of clusters/clans having higher values of both Average-clustering-co-efficient and PSVG, is extracted. For those clusters (Average-degree)/(number-of-particles-in-the-clan) has been calculated. It’s found that there are fewer number of clusters/clans having higher Average-clustering-co-efficient and PSVG, in the rapidity-region nearest the (cr) and this count increases monotonically across increasing overlapping rapidity-regions around (cr).

Authors: Bhaduri, Bhaduri, Ghosh
Physics of Particles and Nuclei Letters (Probable Impact Factor: 0.54)
DOI: 10.1134/S1547477118040040
July 2018, Volume 15, Issue 4, pp 446–455
Status :Published
Area : Particle Physics