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Constraints on Light Pseudoscalars Implied by Tests of the Gravitational Inverse-Square Law

Ephraim Fischbach·Dennis E. Krause
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Abstract

The exchange of light pseudoscalars between fermions leads to a spin-independent potential in order g^4, where g is the Yukawa pseudoscalar-fermion coupling constant. This potential gives rise to detectable violations of both the weak equivalence principle (WEP) and the gravitational inverse-square law (ISL), even if g is quite small. We show that when previously derived WEP constraints are combined with those arisingfrom ISL tests, a direct experimental limit on the Yukawa coupling of light pseudoscalars to neutrons can be inferred for the first time (g_n^2/4pi < 1.6 \times 10^-7), along with a new (and significantly improved) limit on the coupling of light pseudoscalars to protons.

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Ephraim Fischbach, Dennis E. Krause. 1999-06-03. Constraints on Light Pseudoscalars Implied by Tests of the Gravitational Inverse-Square Law. https://doi.org/10.1103/physrevlett.83.3593

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