Deformed solutions of the MIT quark bag model

The quark confinement boundary-value problem of the MIT bag model has been solved numerically for axially deformed bag shapes. As first results a Nilsson-type level diagram for quarks confined in a deformed cavity is presented. Minimising the baryon energy with respect to the shape parameters, the masses of baryonic states are also calculated. Here the results show very clearly that excited baryon resonances are intrinsically deformed. (author)