Analytically derived limits on short-range fifth forces from quantum states of neutrons in the Earth's gravitational field
Abstract
Recently, quantum states of ultra-cold neutrons in the Earth's gravitational field have been observed for the first time. From the fact that they are consistent with Newtonian gravity on the 10 %-level, analytical limits on alpha and lambda of short-range Yukawa-like additional interactions are derived between lambda = 1 micrometer and 1 mm. We arrive for lambda > 10 micrometer at alpha < 2 · 1011 at 90 % confidence level. This translates into a limit gs gp / ( c) < 2 · 10-15 on the pseudo-scalar coupling of axions in the previously experimentally unaccessible astrophysical axion window.
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