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Comparison with model-independent and dependent analyses for pion charge radius

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arxiv 2310.16622 v1 pith:JPVFUBYE submitted 2023-10-25 hep-lat

classification hep-lat
keywords methodchargemodel-independentradiuspionbeencomparisondifferent
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Traditionally, there has been a method to extract the charge radius of a hadron based on the fits of its form factor with some model assumptions. In contrast, a completely different method has been proposed, which does not depend on the models. In this report, we explore several improvements to this model-independent method for analyzing the pion charge radius. Furthermore, we compare the results of the pion charge radius obtained from $N_{f}=2+1$ lattice QCD data at $m_{\pi}=0.51$ GeV using the three different methods: the traditional model-dependent method, the original model-independent method, and our improved model-independent method. In this comparison, we take into account systematic errors estimated in each analysis.

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  1. Calculation of meson charge radii using model-independent method in the PACS10 configuration

    hep-lat 2024-12 conditional novelty 4.0 of 10

    The PACS collaboration obtains preliminary charge radii of 0.423(10) fm^2 for pi+ and 0.373(4) fm^2 for K+ at a single lattice spacing, consistent with experiment.

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