  Phenomenological Richardson potential has built in asymptotic freedom (AF in
short) and confinement, with only one parameter $\La$ in the potential. But it
is known that the scales of AF and confinement are not the same. In the present
work a relativistic mean field calculation for baryons is tried out with two
parameters $\La$ and $\La^\prime$ for AF and confinement respectively .To test
the two parameter potential we calculate the energies and the magnetic moments,
of the triple u - quark system (${\D}^{++}$) and the triple s - quark system
(${\Om}^{-}$) and found good values for $\La=100 MeV$ and $\La^\prime ~= 350
MeV$. So we believe that the modified Richardson potential should have AF scale
$\La ~= 100 MeV$ and the confinement scale $\La^\prime ~= 350 MeV$.
