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We report the results of new differential force measurements between a testmass and rotating source masses of gold and silicon to search for forces beyondNewtonian gravity at short separations. The technique employed subtracts theotherwise dominant Casimir force at the outset and, when combined with alock-in amplification technique, leads to a significant improvement (up to afactor $10^{3}$) over existing limits on the strength (relative to gravity) ofa putative force in the 40--8000 nm interaction range.

Stronger limits on hypothetical Yukawa interactions in the 40--8000 nm range