Total integral cross section experiments, for collisions of rotationally hot H2S projectile molecules by He and Xe targets, have been performed in the thermal energy range by using a molecular beam apparatus, which operates under high resolution conditions and exploits a quadrupole mass spectrometer as a detector. Information on the radial dependence of the intermolecular interaction, averaged over all relative orientations of colliding partners, is obtained. This study completes the investigation of H2S-rare gas family [see D. Cappelletti, A.FA. Vilela, P.R.P. Barreto, R. Gargano, F. Pirani, V. Aquilanti, J. Chem. Phys. 125 (2006) 133111, for Ne, At and Kr] and permits us to discover similarities and differences with the analogous H2O-Rg series of systems. In particular, the analysis of the scattering data suggests that while the complexes of H2S-rare gases from He to Kr are essentially bound by nearly isotropic noncovalent interactions of van der Waals type, the H2S-Xe system exhibits a weak, but measurable, additional component which emerges at intermediate intermolecular distance (in proximity of the potential well), and provides a bond stabilization. This observation is of possible interest for the investigation of the phenomenology of the hydrogen bond formation. (C) 2008 Elsevier B.V. All rights reserved.