Chaos Many-Body Engine module for estimating pentaquark production in proton–proton collisions at CBM energies
Description
In Grossu et al., (2019) we proposed a Chaos Many-Body Engine (CMBE) quark toy-model for the Compressed Baryonic Matter (CBM) energies. We started from the following assumptions: (1) the system can be decomposed into a set of two or three-body quark “elementary systems”, i.e. “white” color charged, mesonic or baryonic systems; (2) the bi-particle force is limited to the domain of each elementary system; (3) the physical solution conforms to the minimum potential energy requirement. In the present work we used graph theory for identifying those sets (clusters) of elementary systems close enough to form a bound system (through the exchange of same color charged quarks). In this approach, the cluster production could be understood as an effect of the chaotic behavior of the system. As a direct application, we estimated the pentaquark production probability obtained in p + p collisions, at a center-of-mass energy between 10 and 100 GeV