From Extraction of Nucleon Resonances to LQCD

Abstract

The intrinsic difficulties in extracting the hadron resonances from reaction data are illustrated by using several exactly soluble $\pi \pi$ scattering models. The finite-volume Hamiltonian method is applied to predict spectra using two meson-exchange Hamiltonians of $\pi N$ reactions. Within a three-channel model with $\pi N$, $\pi \Delta$ and $\sigma N$ channels, we show the advantage of the finite-volume Hamiltonian method over the approach using the Lüscher formula to test Lattice QCD calculations aimed at predicting nucleon resonances. We discuss the necessary steps for using the ANL-Osaka eight-channel Hamiltonian to predict the spectra for testing the LQCD calculations for determining the excited nucleon states up to invariant mass $W=2$ GeV.

Conference proceeding

References in corpus (2)

• Dynamical coupled-channel model of meson production reactions in the nucleon resonance region
• Eta photoproduction in a combined analysis of pion- and photon-induced reactions

Cited by in corpus (2)

• Nucleon resonance structure in the finite volume of lattice QCD
• Light-quark baryon spectroscopy within ANL-Osaka dynamical coupled-channels approach