The mechanical radius of the proton

TL;DR

This paper introduces a novel method to determine the proton's mechanical radius using deep virtual Compton scattering data and gravity-like interactions, revealing it is smaller than the charge radius and aligning with recent lattice QCD results.

Contribution

It presents the first measurement of the proton's mechanical radius through a new theoretical approach linking scattering data with gravity-like interactions.

Findings

Proton mechanical radius is smaller than its charge radius.

Results are consistent with recent lattice QCD calculations.

Introduces a novel method connecting scattering data with gravity interactions.

Abstract

We present the first determination of the proton mechanical radius. The result was obtained by employing a novel theoretical approach that connects experimental data of deeply virtual Compton scattering with the spin = 2 interaction that is characteristic of gravity coupling with matter. We find that the proton mechanical radius is significantly smaller than its charge radius, consistent with the latest Lattice QCD computation.