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- W3083068460 abstract "Many theories beyond the Standard Model postulate short-range modifications to gravity which produce deviations of Newton's gravitational potential from a strict $1/r$ dependence. It is common to analyze experiments searching for these modifications using a potential of the form ${V}^{ensuremath{'}}(r)=phantom{rule{0ex}{0ex}}ensuremath{-}frac{GMm}{r}[1+ensuremath{alpha}mathrm{exp}(ensuremath{-}r/ensuremath{lambda})]$. The best present constraints on $ensuremath{alpha}$ for $ensuremath{lambda}l100text{ }text{ }mathrm{nm}$ come from neutron scattering and often employ comparisons of different measurements of the coherent neutron scattering amplitudes $b$. We analyze the internal consistency of existing data from two different types of measurements of low-energy neutron scattering amplitudes: neutron interferometry, which involves squared momentum transfers ${q}^{2}=0$, and neutron gravity reflectometry, which involves squared momentum transfers ${q}^{2}=8m{V}_{mathrm{opt}}$ where $m$ is the neutron mass and ${V}_{mathrm{opt}}$ is the neutron optical potential of the medium. We show that the fractional difference $frac{mathrm{ensuremath{Delta}}b}{|b|}$ averaged over the seven elements where high precision data exist on the same material from both measurement methods is $[2.2ifmmodepmelsetextpmfi{}1.4]ifmmodetimeselsetexttimesfi{}{10}^{ensuremath{-}4}$. We also show that $frac{mathrm{ensuremath{Delta}}b}{|b|}$ for these data is insensitive both to exotic Yukawa interactions and also to the electromagnetic neutron-atom interactions proportional to the neutron-electron scattering length ${b}_{ne}$ and the neutron polarizability scattering amplitude ${b}_{mathrm{pol}}$. This result will be useful in any future global analyses of neutron scattering data to determine ${b}_{ne}$ and bound $ensuremath{alpha}$ and $ensuremath{lambda}$. We also discuss how various neutron interferometric and scattering techniques with cold and ultracold neutrons can be used to improve the precision of $b$ measurements and make some specific proposals." @default.
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- W3083068460 date "2020-03-01" @default.
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- W3083068460 title "Internal consistency of neutron coherent scattering length measurements from neutron interferometry and from neutron gravity reflectometry" @default.
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