The fuzzy bag model revisited

In this work we study a new version of the fuzzy bag model (FBM). The main point of this work is the inclusion of energy-momentum-conservation in the model. This feature is lacking in the original formulation, but it is of paramount importance to turn the model into a real bag model. In our version of the FBM, the size of the bag will be determined by the equilibrium of the outward pressure of the quarks with the inward pressure of the vacuum, just like in the MIT bag model. As a side remark, we note that a first consequence of our model is that the bag 'constant' B will not be a constant even for the ground state - it will be a function of the radial variable r. (author)