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Analytically derived limits on short-range fifth forces from quantum states of neutrons in the Earth's gravitational field

Alexander Westphal·Hartmut Abele·Stefan Baessler
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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 \cdot 10^11 at 90 % confidence level. This translates into a limit g_s g_p / (\hbar c) < 2 \cdot 10^{-15} on the pseudo-scalar coupling of axions in the previously experimentally unaccessible astrophysical axion window.

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Alexander Westphal, Hartmut Abele, Stefan Baessler. 2007-03-12. Analytically derived limits on short-range fifth forces from quantum states of neutrons in the Earth's gravitational field. https://arxiv.org/abs/hep-ph/0703108

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