Zemach radius of the proton from lattice QCD

Author:

Dalibor Djukanovic, Georg von Hippel, Harvey B. Meyer, Konstantin Ottnad, Miguel Salg, Hartmut Wittig

Keyword:

High Energy Physics - Lattice, High Energy Physics - Lattice (hep-lat), High Energy Physics - Phenomenology (hep-ph), Nuclear Theory (nucl-th)

journal:

MITP-23-055

date:

2023-09-28 16:00:00

Abstract

We present the first lattice-QCD result for the Zemach radius of the proton. Our calculation includes both quark-connected and -disconnected diagrams and assesses all sources of systematic uncertainties arising from excited-state contributions, finite-volume effects and the continuum extrapolation. At the physical point, we obtain $r_Z^p = ( 1.013 \pm 0.010\ (\mathrm{stat}) \pm 0.012\ (\mathrm{syst}) )~\mathrm{fm}$, which suggests a small value of the Zemach radius, but is compatible with most of the experimental studies.

PDF: Zemach radius of the proton from lattice QCD.pdf