Abstract. Nuclear fusion cross-sections considerably higher than corresponding theoretical predictions are observed in low-energy experiments with metal matrix targets and accelerated deuteron beams. The cross-section increment is significantly higher for liquid than for solid targets. We propose that the same two-body correlation entropy used in evaluating the metal melting entropy explains the large liquid-solid difference of the effective screening potential that parameterizes the cross-section increment. This approach is applied to the specific case of the 6 Li(d, α) 4 He reaction, whose measured screening potential liquid-solid difference is (235 ± 63) eV. Cross sections in the two metals with the highest two-body correlation entropy (In and Hg) has not been measured yet: increments of the cross sections in liquid relative to the ones in solid metals are estimated with the same procedure.