6533b7ddfe1ef96bd1274b5a

RESEARCH PRODUCT

ϒ photoproduction on the proton at the Electron-Ion Collider

subject

description

We present a dispersive analysis with the aim to extract the $\mathrm{\ensuremath{\Upsilon}}\text{\ensuremath{-}}p$ scattering length from $\ensuremath{\gamma}p\ensuremath{\rightarrow}\mathrm{\ensuremath{\Upsilon}}p$ experiments. In this framework, the imaginary part of the $\mathrm{\ensuremath{\Upsilon}}\text{\ensuremath{-}}p$ forward scattering amplitude is obtained from $\ensuremath{\gamma}p\ensuremath{\rightarrow}\mathrm{\ensuremath{\Upsilon}}p$ 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 $\mathrm{\ensuremath{\Upsilon}}\text{\ensuremath{-}}p$ scattering length. We perform a feasibility study for $\mathrm{\ensuremath{\Upsilon}}$ photoproduction experiments at an Electron-Ion Collider and discuss the sensitivity and precision that can be reached in the extraction of the $\mathrm{\ensuremath{\Upsilon}}\text{\ensuremath{-}}p$ scattering length.