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arXiv · 2005.09293

$\Upsilon$ photo-production on the proton at the Electron-Ion Collider

Oleksii Gryniuk·Sylvester Joosten·Zein-Eddine Meziani·Marc Vanderhaeghen
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Abstract

We present a dispersive analysis with the aim to extract the $\Upsilon$-p scattering length from $\gamma p \to \Upsilon p$ experiments. In this framework, the imaginary part of the $\Upsilon$-p forward scattering amplitude is obtained from $\gamma p \to \Upsilon p$ cross section measurements, and is constrained at high energies from existing HERA and LHC data. Its real part is calculated through a once-subtracted dispersion relation, and the subtraction constant is proportional to the $\Upsilon$-p scattering length. We perform a feasibility study for $\Upsilon$ photo-production experiments at an Electron-Ion Collider and discuss the sensitivity and precision that can be reached in the extraction of the $\Upsilon$-p scattering length.

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Oleksii Gryniuk, Sylvester Joosten, Zein-Eddine Meziani, Marc Vanderhaeghen. 2020-05-19. $\Upsilon$ photo-production on the proton at the Electron-Ion Collider. https://doi.org/10.1103/physrevd.102.014016

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