Chaos Many-Body Engine module for estimating pentaquark production in proton-proton collisions at CBM energies

Abstract 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 New version program summary Program Title: Chaos Many-Body Engine (CMBE) CPC Library link to program files: http://dx.doi.org/10.17632/rh5txj3n4g.2 Licensing provisions: GPLv2 Programming language: C# 7.3. External routines: BigRational structure (Microsoft). Journal reference of previous version: Computer Physics Communications 239C (2019) 149-152 Does the new version supersede the previous version?: Yes. Nature of problem: Estimate the Pentaquark production in nuclear relativistic collisions. Solution method: Clustering algorithm for identifying all five-body quark white systems. Reasons for the new version: Added the Pentaquark identification new feature. Summary of revisions: • Migration from .Net Framework 4.0 to .Net Framework 4.7.1 • In [1] we implemented a quark confinement algorithm for decomposing the system into a set of two or three-body quark “elementary systems”, i.e. “white” color charged, mesonic or respectively, baryonic systems, in agreement with the minimum potential energy requirement. In this work we added a new O(n3) algorithm (QcdQuarkBagPentaQuarkAlgorithm class), developed in agreement with the SOLID principles, for the identification of those sets (clusters) of elementary systems close enough to form a bound system (through the exchange of same color charged quarks). Taking this into account the system was associated an undirected graph G [2,3], whose nodes are the elementary systems. Two nodes are connected if the distance between their geometrical centers is lower than the sum of their radii. Thus, each cluster could be associated to a maximal connected subgraph of G. • Unit tests (QcdQuarkBagPentaQuarkAlgorithmTests class) for checking the new algorithm. • In [1] we proposed a quark toy-model for proton–proton collisions at CBM energies [4]. The model was extended for estimating the pentaquark [5] production probability, as seen in Fig. 1 . In this approach, the pentaquark production could be understood as a direct effect of the chaotic behavior of the system [6,7]. Thus, for each center-of-mass energy ( s ∈ 10 , 100 GeV) we simulated 2,000 events by choosing Simulations\Quark Collision from the menu and storing the pentaquark multiplicity at t=300 Fm/c in the quark.pentaquark.log.csv file, generated into the simulation output folder. The collision parameter was given random values in the [0.2, 1.1] Fm range. Declaration of Competing Interest The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper. References I.V. Grossu, C. Besliu, Al. Jipa, D. Felea, E. Stan, T. Esanu, Implementation of quark confinement and retarded interactions algorithms for Chaos Many-Body Engine, Computer Physics Communications 239C (2019) pp. 149-152, DOI: https://doi.org/10.1016/j.cpc.2019.01.023 Alan Gibbons, Algorithmic Graph Theory, Cambridge University Press, 1985. I.V. Grossu, C. Besliu, Al. Jipa, C.C. Bordeianu, D. Felea, E. Stan, T. Esanu, Code C# for chaos analysis of relativistic many-body systems, Computer Physics Communications 181 (2010) 1464–1470, https://doi.org/10.1016/j.cpc.2010.04.015 A. Abuhoza et al, The CBM Collaboration, Nuclear Physics A, Volumes 904--905 , 2 May 2013, Pages 1059c-1062c A. Abdivaliev, C. Besliu et al., Yad.Fiz.29, v.6, 1979. St. Grosu, Quelques effets des fluctuations de la barriere de potentiel a la surface des conducteurs, Studii si cercetari de fizica, 1, XI, 1960 D. Felea, C.C. Bordeianu, I.V. Grossu, C. Besliu, Al. Jipa, A.-A. Radu and E. Stan, Intermittency route to chaos for the nuclear Billiard, EPL, 93 (2011) 42001, DOI: 10 . 1209 ∕ 0295 − 5075 ∕ 93 ∕ 42001