  We provide a rigorous construction of a large class of generalized spin-boson
models with ultraviolet-divergent form factors. This class comprises various
models of many possibly non-identical atoms with arbitrary but finite numbers
of levels, interacting with a boson field. Ultraviolet divergences are assumed
to be mild, such that no self-energy renormalization is necessary. Our
construction is based on recent results by A. Posilicano, which also allow us
to state an explicit formula for the domain of self-adjointness for our
Hamiltonians.
