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The interaction Hamiltonian for a system of polarons a la Feynman in thepresence of long range Coulomb interaction is derived and the dielectricfunction is computed in mean field. For large enough concentration a liquid ofsuch particles becomes unstable. The onset of the instability is signaled bythe softening of a collective optical mode in which all electrons oscillate inphase in their respective self-trapping potential. We associate the instabilitywith a metallization of the system. Optical experiments in slightly dopedcuprates and doped nickelates are analyzed within this theory.  We discuss why doped cuprates matallize whereas nickelates do not.Comment: 5 pages,1 figur

Instability due to long-range Coulomb interaction in a liquid of Feynman polarons