Zemach and Friar radii of the proton and neutron from lattice QCD

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Main Authors: Djukanovic, Dalibor, von Hippel, Georg, Meyer, Harvey B., Ottnad, Konstantin, Salg, Miguel, Wittig, Hartmut
Format: Preprint
Published: 2023
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author Djukanovic, Dalibor
von Hippel, Georg
Meyer, Harvey B.
Ottnad, Konstantin
Salg, Miguel
Wittig, Hartmut
author_facet Djukanovic, Dalibor
von Hippel, Georg
Meyer, Harvey B.
Ottnad, Konstantin
Salg, Miguel
Wittig, Hartmut
contents We present the first lattice-QCD result for the Zemach and Friar radii of the proton and neutron. 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 for the proton $r_Z^p = ( 1.013 \pm 0.010\ (\mathrm{stat}) \pm 0.012\ (\mathrm{syst}) )~\mathrm{fm}$ and $r_F^p = ( 1.301 \pm 0.012\ (\mathrm{stat}) \pm 0.014\ (\mathrm{syst}) )~\mathrm{fm}$. These numbers suggest small values of the Zemach and Friar radii of the proton, but are compatible with most of the experimental studies.
format Preprint
id arxiv_https___arxiv_org_abs_2309_17232
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Zemach and Friar radii of the proton and neutron from lattice QCD
Djukanovic, Dalibor
von Hippel, Georg
Meyer, Harvey B.
Ottnad, Konstantin
Salg, Miguel
Wittig, Hartmut
High Energy Physics - Lattice
High Energy Physics - Phenomenology
Nuclear Theory
We present the first lattice-QCD result for the Zemach and Friar radii of the proton and neutron. 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 for the proton $r_Z^p = ( 1.013 \pm 0.010\ (\mathrm{stat}) \pm 0.012\ (\mathrm{syst}) )~\mathrm{fm}$ and $r_F^p = ( 1.301 \pm 0.012\ (\mathrm{stat}) \pm 0.014\ (\mathrm{syst}) )~\mathrm{fm}$. These numbers suggest small values of the Zemach and Friar radii of the proton, but are compatible with most of the experimental studies.
title Zemach and Friar radii of the proton and neutron from lattice QCD
topic High Energy Physics - Lattice
High Energy Physics - Phenomenology
Nuclear Theory
url https://arxiv.org/abs/2309.17232