Mass and decay constant of the (q(q)over-bar)-pion in a relativistic-potential model of independent quarks

Under the assumption that a meson is an assembly of independent quark and antiquark, confined in a first approximation by an effective potential V-q(r) = 1/2(1 + gamma(0))(a(2)r + V-0) which presumably represents the non-perturbative gluon interactions, the mass and decay constant of the (q(q)over-bar)-pion together with the masses of rho and omega-mesons are calculated by considering perturbatively the corrections due to the possible residual interaction such as quark-pion coupling arising out of the requirement of chiral symmetry and quark-gluon coupling arising out of one-gluon exchange and that due to the spurious motion of center of mass of the meson core. This results in the physical mass of the (q(q)over-bar)-pion in consistency with that of the PCAC-pion and the pion decay constant in a reasonable agreement with experiment.