Abstract
Phenomenological Richardson potential has built in asymptotic freedom (AF in short) and confinement, with only one parameter Λ 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 Λ and Λ′ 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 ( Δ ++) and the triple s-quark system ( Ω − ) and found good values for Λ=100 MeV and Λ′=350 MeV. So we believe that the modified Richardson potential should have AF scale Λ=100 MeV and the confinement scale Λ′=350 MeV.
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