Υ photoproduction on the proton at the Electron-Ion Collider

We present a dispersive analysis with the aim to extract the Upsilon-p scattering length from gamma p -> Upsilon p experiments. In this framework, the imaginary part of the Upsilon-p forward scattering amplitude is obtained from gamma p -> 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 photoproduction 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.