Proton and neutron electromagnetic radii and magnetic moments from $N_f = 2 + 1$ lattice QCD

Fuente: arXiv
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Autores principales: Salg, Miguel, Djukanovic, Dalibor, von Hippel, Georg, Meyer, Harvey B., Ottnad, Konstantin, Wittig, Hartmut
Formato: Preprint
Publicado: 2023
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author Salg, Miguel
Djukanovic, Dalibor
von Hippel, Georg
Meyer, Harvey B.
Ottnad, Konstantin
Wittig, Hartmut
author_facet Salg, Miguel
Djukanovic, Dalibor
von Hippel, Georg
Meyer, Harvey B.
Ottnad, Konstantin
Wittig, Hartmut
contents We present results for the electromagnetic form factors of the proton and neutron computed on the $(2 + 1)$-flavor Coordinated Lattice Simulations (CLS) ensembles including both quark-connected and -disconnected contributions. The $Q^2$-, pion-mass, lattice-spacing, and finite-volume dependence of our form factor data is fitted simultaneously to the expressions resulting from covariant chiral perturbation theory including vector mesons amended by models for lattice artefacts. From these fits, we determine the electric and magnetic radii and the magnetic moments of the proton and neutron, as well as the Zemach radius of the proton. To assess the influence of systematic effects, we average over various cuts in the pion mass and the momentum transfer, as well as over different models for the lattice-spacing and finite-volume dependence, using weights derived from the Akaike Information Criterion (AIC). Our results for the magnetic moments of the proton and neutron are in good agreement with the experimental values and have a relative precision of about $2.4\,\%$ and $3.7\,\%$, respectively. For the electromagnetic radii of the proton, we achieve a precision at the $1.5\,\%$ level.
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id arxiv_https___arxiv_org_abs_2401_05404
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Proton and neutron electromagnetic radii and magnetic moments from $N_f = 2 + 1$ lattice QCD
Salg, Miguel
Djukanovic, Dalibor
von Hippel, Georg
Meyer, Harvey B.
Ottnad, Konstantin
Wittig, Hartmut
High Energy Physics - Lattice
We present results for the electromagnetic form factors of the proton and neutron computed on the $(2 + 1)$-flavor Coordinated Lattice Simulations (CLS) ensembles including both quark-connected and -disconnected contributions. The $Q^2$-, pion-mass, lattice-spacing, and finite-volume dependence of our form factor data is fitted simultaneously to the expressions resulting from covariant chiral perturbation theory including vector mesons amended by models for lattice artefacts. From these fits, we determine the electric and magnetic radii and the magnetic moments of the proton and neutron, as well as the Zemach radius of the proton. To assess the influence of systematic effects, we average over various cuts in the pion mass and the momentum transfer, as well as over different models for the lattice-spacing and finite-volume dependence, using weights derived from the Akaike Information Criterion (AIC). Our results for the magnetic moments of the proton and neutron are in good agreement with the experimental values and have a relative precision of about $2.4\,\%$ and $3.7\,\%$, respectively. For the electromagnetic radii of the proton, we achieve a precision at the $1.5\,\%$ level.
title Proton and neutron electromagnetic radii and magnetic moments from $N_f = 2 + 1$ lattice QCD
topic High Energy Physics - Lattice
url https://arxiv.org/abs/2401.05404