Elastic Form Factors of Nucleon Excitations in Lattice QCD

Abstract

First principles calculations of the form factors of baryon excitations are now becoming accessible through advances in Lattice QCD techniques. In this paper, we explore the utility of the parity-expanded variational analysis (PEVA) technique in calculating the Sachs electromagnetic form factors for excitations of the proton and neutron. We study the two lowest-lying odd-parity excitations and demonstrate that at heavier quark masses, these states are dominated by behaviour consistent with constituent quark models for the $N^{\ast }(1535)$ and $N^{\ast }(1650)$, respectively. We also study the lowest-lying localised even-parity excitation, and find that its form factors are consistent with a radial excitation of the ground state nucleon. A comparison of the results from the PEVA technique with those from a conventional variational analysis exposes the necessity of the PEVA approach in baryon excited-state studies.

25 pages, 37 figures, 7 tables

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Cited by in corpus (10)

• Multi-particle systems on the lattice and chiral extrapolations: a brief review
• Status of Lattice QCD Determination of Nucleon Form Factors and their Relevance for the Few-GeV Neutrino Program
• Jülich-Bonn-Washington Model for Pion Electroproduction Multipoles
• The Positive-Parity Baryon Spectrum and the Role of Hybrid Baryons
• Regularisation in Nonperturbative Extensions of Effective Field Theory
• Excited states in nucleon structure calculations
• Chiral Analysis of the Nucleon Mass and Sigma Commutator
• Magnetic Polarisability of Octet Baryons via Lattice QCD
• Odd-Parity Nucleon Electromagnetic Transitions in Lattice QCD
• Form factors of the $\rho$ meson from effective field theory and the lattice