الفهرس 
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Abstract
The study of the quark-quark interactions gives us information
about the nature of the interaction forces inside hadrons. The
experimental data of the resonance masses in case of mesons and
baryons helps us to suggest the suitable potential forms. This work
deals with the study of the eigen-value problem in case of the three
quark systems (baryons).
A new simple phenomenological potential form is suggested to
calculate the resonance masses of baryons. The baryons which are
considered in this work are N, Δ, Λ and Σ. The suggested potential
form contains three free parameters.
The experimental data are used to adjust the potential
parameters and quark masses through the 𝜒2-test. A comparison
between the present calculations and the previous theoretical works
with the experimental data are given. from this study one notices that,
the used potential form gives a better agreement with the experimental
data more than the previous works, in case of all considered systems.
This thesis contains three chapters and five appendices. In
chapter (1), a brief description about the discovery of elementary
particles, its general properties, and a general introduction about the
strong and electro- magnetic interactions. The quantum
chromodynamics (QCD), quantum electrodynamics (QED) and the
quark model are described. Also, reviews of previous works are given.
The non-relativistic wave equation, for a system consists of
three non-identical particles using the new suggested potential, is