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The question is raised about the pressure effects on the polarizability anddispersive binding in ionic and molecular systems. As an example we take theeffect of hydrostatic pressure on the energy gap of phonon-coupled two-levelsystems. Assuming a positive pressure coefficient for the gap, we predict agradual transition from small vibronic polarons to large polarons as thepressure is increased at constant coupling energy of a two-level system.Concomitantly, the universal dispersive binding degrades from strong at lowpressure to weak at high pressure as the system evolves from soft condensedmatter to hard condensed matter. Implications are discussed on the developmentof stellar substance at the early stages of the Universe.

Letter for the pressure effects on the electrostatic polarizability and dispersive binding of off-center polarons in ionic and molecular systems