A Heuristic Approach to a Periodic Table of Quark Composites*

This work extends our interest in the study of fundamental particles to the possibility of creating a “periodic table” of Quark composites, in analogy with Periodic Tables of chemical elements. In recent years, several resonance states that cannot be any type of conventional quark-antiquark mesons or three-quark baryons have been detected. Consideration of the decay modes and charges of these states reveals the possible existence of four quark or five-quark states. According to some physicists, these observations open up a new age of multi-quark hadron spectroscopy. In 2016, a team at Fermi-Lab reported evidence for a  resonance state. Outside the laboratories, penta-quarks may be formed in supernovae, in the process of forming neutron stars. It should be noted that the lifetime of a particle is the direct inverse of the particle's resonance width in experiments. We have obtained results on quark composites of the type X_mY_n, with 1 =< m, n =< 5. Our computer codes utilize C++ and MATLAB languages to implement the formalisms of Feynman Path Integrals (FPI) for the study of the stabilities and other properties of these hadronic particles. Our research has links to the recent reports on the work of the physicists M. Karliner and J. L. Rosner on Quark Fusion.