A high energy or "hard" gluon that strikes a meson can bump the quark or anti-quark to a higher energy state, resulting in meson dissociation. Points of consideration for the mathematical construction of this interaction include the scattering matrix element, meson binding energy and "Bohr" radius, and the average incoming color field. Each provides a contribution to the transition rate derivation in terms of the number density of hard gluons produced in heavy ion collisions. In this talk, we will qualitatively and analytically describe the methods we used to investigate this "billiard-like" interplay between mesons and hard gluons. Potential applications of this project to high energy particle physics experiments including the quark-gluon plasma will also be discussed. This research was conducted for our Physics Senior Project capstone course under the direction of Dr. Sidi Benzahra.