Abstract
In this work we introduce two different potential models for hadronic systems such that the QCD concepts of the quark-quark and quark-antiquark interactions be satisfied. We present the simple methods to solve two- and three-body equation of meson and baryon systems respectively. The introduced models are studied in the relativistic and non-relativistic limits.
Highlights
One of the most important problems in modern physics is to determine the structure and properties of meson and baryon systems
Many potential models have been presented by authors to study the quarks dynamics and their properties [1,2,3,4]
The Dirac and Schrödinger equations are able to describe the behavior of quarks inside the hadrons in the relativistic and non-relativistic respectively
Summary
One of the most important problems in modern physics is to determine the structure and properties of meson and baryon systems. Many potential models have been presented by authors to study the quarks dynamics and their properties [1,2,3,4]. The Dirac and Schrödinger equations are able to describe the behavior of quarks inside the hadrons in the relativistic and non-relativistic respectively. In this paper we present different methods to solve the Dirac and Schrödinger equations of the ground-state meson and baryon systems respectively for two different confining potentials. In both models, the spin-dependent potential is considered as a perturbation and the total energy of the hadron is obtained by a summation of the unperturbed.
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