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An exactly solvable model for polydisperse fluids of particles with surface adhesion is discussed. For this model, alternative to Baxter's one and with factorized stickiness coefficients, all scattering functions can be computed analytically for an arbitrary number of components. An application to experimental small-angle scattering results on sterically stabilized colloidal particles interacting via an attractive short-ranged attraction shows the usefulness of this model. However, results on its thermodynamic properties reveal some intrinsic inconsistencies. A way out from this drawbacks is discussed in terms of a new potential.

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