Finite-volume corrections to charge radii
arXiv:1210.6124 · doi:10.1016/j.physletb.2013.06.048
Abstract
The finite-volume nature of lattice QCD entails a variety of effects that must be handled in the process of performing chiral extrapolations. Since the pion cloud that surrounds hadrons becomes distorted in a finite volume, hadronic observables must be corrected before one can compare with the experimental values. The electric charge radius of the nucleon is of particular interest when considering the implementation of finite-volume corrections. It is common practice in the literature to transform electric form factors from the lattice into charge radii prior to analysis. However, there is a fundamental difficulty with using these charge radii in a finite-volume extrapolation. The subtleties are a consequence of the absence of a continuous derivative on the lattice. A procedure is outlined for handling such finite-volume corrections, which must be applied directly to the electric form factors themselves rather than to the charge radii.
12 pages, 6 figures. Minor emendations made in preparation for submission to PLB
References in corpus (9)
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- Nucleon electromagnetic form factors in twisted mass lattice QCD
- Dirac and Pauli form factors from lattice QCD
- Chiral extrapolation of octet-baryon charge radii
- Chiral extrapolations for nucleon magnetic moments
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Cited by in corpus (10)
- Nucleon electromagnetic form factors from lattice QCD using a nearly physical pion mass
- Strange Quark Magnetic Moment of the Nucleon at Physical Point
- Electric form factors of the octet baryons from lattice QCD and chiral extrapolation
- Finite-volume and partial quenching effects in the magnetic polarizability of the neutron
- Elastic Form Factors of Nucleon Excitations in Lattice QCD
- Nucleon resonance structure in the finite volume of lattice QCD
- Opposite-Parity Contaminations in Lattice Nucleon Form Factors
- Review of Hadron Structure Calculations on a Lattice
- Pseudoscalar mesons in a finite cubic volume with twisted boundary conditions
- Chiral Analysis of the Nucleon Mass and Sigma Commutator