Femtoscopy of the Matter Distribution in the Proton

This communication is a follow-up on our previous study [Few Body Syst. 61, 49 (2020)] suggesting the use of femtoscopic measurements of J/ψ -proton correlation functions in high-energy hadron collisions to access information on the origin of the proton’s mass. The QCD multipole expansion allows us to express the J/ψ -proton scattering amplitude in terms of the product of the J/ψ chromopolarizability and a scalar gluon gravitational (GFF) form factor. The scalar gluon GFF gives the gluonic contribution to the nucleon mass and determines the corresponding matter radius. We show that J/ψ -proton femtoscopic correlation function displays clear sensitivity to the scalar gluon GFF for a wide range of the J/ψ chromopolarizability.