Precision calculation of the electromagnetic radii of the proton and neutron from lattice QCD

We present lattice-QCD results for the electromagnetic form factors of the proton and neutron including both quark-connected and -disconnected contributions. The parametrization of the \(Q^2\)-dependence of the form factors is combined with the extrapolation to the physical point. In this way, we de...

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Bibliographic Details
Published in:arXiv.org 2024-05
Main Authors: Djukanovic, Dalibor, Georg von Hippel, Meyer, Harvey B, Ottnad, Konstantin, Salg, Miguel, Wittig, Hartmut
Format: Article
Language:English
Subjects:
Form factors
Magnetic moments
Parameterization
Pions
Protons
Quantum chromodynamics
Online Access:Get full text
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Summary:We present lattice-QCD results for the electromagnetic form factors of the proton and neutron including both quark-connected and -disconnected contributions. The parametrization of the \(Q^2\)-dependence of the form factors is combined with the extrapolation to the physical point. In this way, we determine the electric and magnetic radii and the magnetic moments of the proton and neutron. For the proton, we obtain at the physical pion mass and in the continuum and infinite-volume limit \(\sqrt{\langle r_E^2 \rangle^p} = 0.820(14)\) fm, \(\sqrt{\langle r_M^2 \rangle^p} = 0.8111(89)\) fm, and \(\mu_M^p = 2.739(66)\), where the errors include all systematics.
ISSN:2331-8422
DOI:10.48550/arxiv.2309.07491