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Nπ-state contamination in lattice calculations of the nucleon pseudoscalar form factor
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Nπ-state contamination in lattice calculations of the nucleon pseudoscalar form factor
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The nucleon-pion-state contribution in the QCD 3-point function of the pseudoscalar density is calculated to leading order in chiral perturbation theory. It predicts a nucleon-pion-state contamination in lattice estimates for the pseudoscalar form factor $G_{\rm P}(Q^2)$ determined with the plateau method. Depending on the momentum transfer $Q^2$ the contamination varies between -20% and +50% for a source-sink separation of 2 fm. The nucleon-pion-state contamination also causes violations in the generalized Goldberger-Treiman relation among the pseudoscalar and the axial nucleon form factors, the dominant source being the nucleon-pion-state contamination in the induced pseudoscalar form factor $\tilde{G}_{\rm P}(Q^2)$. Comparing the chiral perturbation theory predictions with lattice results of the PACS collaboration we find reasonable agreement even for source-sink separations as small as 1.3 fm.
Forward citations
Cited by 2 Pith papers
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Elastic and resonance structures of the nucleon from hadronic tensor in lattice QCD: implications for neutrino-nucleon scattering and hadron physics
Lattice QCD computation of hadronic tensor yields consistent nucleon Sachs electric form factor and extracts transition form factors to the Roper resonance region for inclusive cross sections.
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$N\pi$-excited state contamination in nucleon 3-point functions using ChPT
LO ChPT calculation shows O(M_N)-enhanced Nπ contamination in axial 3-pt functions with linear time dependence and momentum-dependent distortions in pseudoscalar form factors that violate the generalized Goldberger-Tr...
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