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We study the interaction of two localized impurities in a repulsiveone-dimensional Fermi liquid via bosonization. In a previous paper [Phys. Rev.A 72, 023616 (2005)], it was shown that at distances much larger than theinterparticle spacing the impurities interact through a Casimir-type forcemediated by the zero sound phonons of the underlying quantum liquid. Here weextend these results and show that the strength and sign of this Casimirinteraction depend sensitively on the impurities separation. These oscillationsin the Casimir interaction have the same period as Friedel oscillations. Theirmaxima correspond to tunneling resonances tuned by the impurities separation.Comment: This paper is a continuation of Phys. Rev. A 72, 023616 (2005). v2:  two appendix adde

Publisher's Note: Oscillating Casimir force between impurities in one-dimensional Fermi liquids [Phys. Rev. A75, 043615 (2007)]