Deformed baryons: Constituent quark modelvs. bag model

Recently Bhaduriet al. developed a nonrelativistic constituent quark model for deformed baryons. In that model the quarks move in a deformable mean field, and the deformation parameters are determined by minimizing the quark energy subject to the constraint of volume conservation. This constraint is anad hoc assumption. We show that, starting with a bag model, a model similar to that of Bhaduriet al. can be constructed. The deformation parameters are determined by the pressure balance on the bag surface. There is, however, a distinct difference between the two models with respect to the state dependence of the «volume». Implications of this difference are discussed.