On the transverse size of hadrons at asymptotically high energies

TL;DR

The paper demonstrates that at extremely high energies, the transverse size of hadrons grows logarithmically due to a coupled diffusion process in impact parameter and transverse momentum space, revealing fundamental insights into hadronic structure.

Contribution

It establishes a theoretical link between parton diffusion in impact parameter and transverse momentum spaces, explaining the logarithmic growth of hadron size at high energies.

Findings

Transverse size growth is logarithmic at high energies.

Diffusion in impact parameter and transverse momentum spaces are interconnected.

Parton transverse momentum restrictions influence impact parameter propagation.

Abstract

We show that Gribov diffusion of the partons in the impact parameter plane, which leads to the square-root-of-logarithmic growth of the transverse size of the hadrons, can occur only simultaneously with a similar diffusion in the transverse-momentum space. At the same time, a restriction of the partons in the transverse momenta entails an increase in their propagation in the impact parameter plane. Ultimately this leads to a logarithmic growth of the transverse size of hadrons at asymptotically high energies.