PREDICTING PATTERN FORMATION OF MESONS

ABSTRACT graph theory is a branch of mathematics which developed slowly over the different fields of sciences. Graphical models have various applications in basic and engineering sciences which include statistical physics, solid state physics, bioinformatics, telecommunication and etc. Finding its origins in modern physics, this field would finally be applied strongly to particle, quantum physics and quantum computing. Usage of graph theory in particle physics needs complex computations in order to evaluation of various functions, so there are some powerful methods including field theory method, characteristic of interactions between elementary particles and etc. Quarkonium or mesonic bounding states by graphical models could be described and developed hadronic physics, which is possible by generalization of interactions probability theory to bound states characteristics. Indeed, graph theory has the advantage that it contains easily formulated issues that can be stated in the quantum chromodynamics theories. Finding possible interactions to any two of six quark flavours by using graph theory it is very important. Therefore, the main goal of this paper is preparing a primary generalization of mesonic graph, as a type of graphical models, to bounding case and applying in particle interactions in high energy physics. ABBREVIATION: Quantum chromodynamics, Quantum field theory

KEYWORDS: Mesons, quarkonium, graph theory, adjacency and incidence matrix matrices.