Modified Lee-Friedberg soliton-bag model with absolute confinement

We systematically investigate solutions of a modified Lee-Friedberg model for fermions bound in a non-linearly self-interacting scalar fieldσ. In this model a runningσ-fermion coupling strengthg(σ) is introduced such as to interpolate between a perturbative vacuum withσ=0 and a non-trivial vacuum (σ=σ _v ) with strong coupling. We find soliton-bag-like solutions in which the fermions experience absolute confinement. These solutions are almost independent of the detailed form ofg(σ).