  A non-perturbative one gluon exchange quark-antiquark interaction is
considered to compute flavor dependent U(3) Nambu-Jona-Lasinio (NJL)-type
interaction of the form $G_{ij, \Gamma} (\bar{\psi} \lambda_i \Gamma \psi ) (
\bar{\psi} \lambda_j \Gamma \psi)$ for $i,j=0...8$ and $\Gamma=I, i \gamma_5$
from one loop polarization process with non degenerate u-d-s quark effective
masses. The resulting NJL-type coupling constants in all channels are resolved
in the long-wavelength limit and numerical results are presented for different
choices of an effective gluon propagator. Leading deviations with respect to a
flavor symmetric coupling constant are found to be of the order of
$(M_{f_2}^*-M_{f_1}^*)^n/(M_{f_2}^*+M_{f_1}^*)^n$, for $n=1,2$, where
$M_{f_i}^*$ are the effective masses of quarks $f_1,f_2=u, d$ and $s$. The
scalar channel coupling constants $G_{ij, s}$ can be considerably smaller than
pseudoscalar ones. The effect of the flavor-dependence of coupling constants
for the masses of pions and kaons may be nearly of the same order of magnitude
as the effect of the u,d and s quark mass non-degeneracy. The effect of these
coupling constants is also verified for some of the light scalar mesons masses,
usually described by quark-antiquark states, and for some observables of the
pseudoscalar mesons.
