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The enhancement factor of the resonant thermonuclear reaction rates iscalculated for the extremely dense stellar plasmas in the liquid phase. Inorder to calculate the enhancement factor we use the screening potential whichis deduced from the numerical experiment of the classical one-component plasma.It is found that the enhancement is tremendous for white dwarf densities if the^{12}C + ^{12}C fusion cross sections show resonant behavior in theastrophysical energy range. We summarize our numerical results by accurateanalytic fitting formulae.Comment: 13 pages, 3 figures, accepted for publication in ApJ, replaced with  revised versio

Enhancement of Resonant Thermonuclear Reaction Rates in Extremely Dense Stellar Plasmas