Precision calculation of the electromagnetic radii of the proton and neutron from lattice QCD
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866916256321372160 |
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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 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 $μ_M^p = 2.739(66)$, where the errors include all systematics. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2309_07491 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Precision calculation of the electromagnetic 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 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 $μ_M^p = 2.739(66)$, where the errors include all systematics. |
| title | Precision calculation of the electromagnetic radii of the proton and neutron from lattice QCD |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2309.07491 |