Constraints on Yukawa-type deviations from Newtonian gravity at 20 microns
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Abstract
Recent theories of physics beyond the standard model have predicted deviations from Newtonian gravity at short distances. In order to test these theories, we have a built an apparatus that can measure attonewton-scale forces between gold masses separated by distances on the order of $25\text{ }\text{ }\ensuremath{\mu}\mathrm{m}$. A micromachined silicon cantilever was used as the force sensor, and its displacement was measured with a fiber interferometer. We have used our measurements to set bounds on the magnitude $\ensuremath{\alpha}$ and length scale $\ensuremath{\lambda}$ of Yukawa-type deviations from Newtonian gravity; our results presented here yield the best experimental limit in the range of $\ensuremath{\lambda}=6--20\text{ }\text{ }\ensuremath{\mu}\mathrm{m}$.
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