Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-05-20
Nucl.Phys. A740 (2004) 109-118
Physics
High Energy Physics
High Energy Physics - Phenomenology
Accepted for publication in Nuclear Physics A
Scientific paper
10.1016/j.nuclphysa.2004.05.015
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 $\La^\prime ~= 350 MeV$.
Bagchi Manjari
Daw Sukanta
Dey Jishnu
Dey Mira
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