Quantum Chromodynamics (QCD) is the theory of strong interactions.
Since the exact form of confinement of quarks from QCD is not known
constituent quark modes were developed incorporating the basic
features of the QCD. Mesons are the very fundamental particles in
hadron physics. Hence, a deep understanding of the internal
structure of the mesons is of crucial importance for explaining
properties concerning more complex systems. In this work,
non-relativistic and relativistic constituent quark models have
been developed including instantons as a short range
nonperturbative gluonic effect. The total energy or the mass of the
meson is obtained by calculating the energy eigen values of the
Hamiltonian in the harmonic-oscillator basis.
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