Estados ligados da QCD: Uma abordagem não relativista para quarks pesados e glúons em temperatura finita

Abstract

This work investigates bound states in Quantum Chromodynamics (QCD), focusing on interactions between heavy quarks, using non-relativistic approaches. The theoretical foundation is based on a quantitative literature review of the Rosen-Morse trigonometric potential and the Cornell potential, widely applied to describe short- and long-range interactions in quark-antiquark systems, other potentials were succinctly addressed. The methodology used combines the asymptotic iteration method (AIM) with numerical calculations to solve the Schrödinger equation, obtaining energy eigenvalues and validating the results with experimental data.The results indicate that both potentials provide effective descriptions of bound states, especially in systems such as charmonium and bottomonium.The main objective is to implement potential models in the Schrödinger equation to study heavy mesons and their interactions.The relevance of this study lies in the ability of theoretical and numerical methods to generate results in excellent agreement with experimental data, contributing to the understanding of heavy quark interactions and confirming QCD predictions.