A model finding a new Richardson potential with different scales for confinement and asymptotic freedom, by fitting the properties of ${\D}^{++}$ and ${\Om}^{-}$

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dc.creatorBagchi, Manjari
dc.creatorDey, Mira
dc.creatorDaw, Sukanta
dc.creatorDey, Jishnu
dc.date2004-05-20
dc.date.accessioned2026-07-07T06:30:41Z
dc.date.available2026-07-07T06:30:41Z
dc.descriptionPhenomenological 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 $\La^\prime ~= 350 MeV$.
dc.descriptionAccepted for publication in Nuclear Physics A
dc.identifierhttps://arxiv.org/abs/hep-ph/0405194
dc.identifierhttp://arxiv.org/abs/hep-ph/0405194
dc.identifierNucl.Phys. A740 (2004) 109-118
dc.identifierdoi:10.1016/j.nuclphysa.2004.05.015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98400
dc.subjectHigh Energy Physics - Phenomenology
dc.titleA model finding a new Richardson potential with different scales for confinement and asymptotic freedom, by fitting the properties of ${\D}^{++}$ and ${\Om}^{-}$
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