The intrinsic difficulties in extracting the hadron resonances from reaction data are illustrated by using several exactly soluble ππ scattering models. The finite-volume Hamiltonian method is applied to predict spectra using two meson-exchange Hamiltonians of πN reactions. Within a three-channel model with πN, πΔ and σN channels, we show the advantage of the finite-volume Hamiltonian method over the approach using the L\"uscher 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.
@article{arxiv.1602.01169,
title = {From Extraction of Nucleon Resonances to LQCD},
author = {T. -S. H. Lee and Jia-jun Wu and Hiroyuki Kamano},
journal= {arXiv preprint arXiv:1602.01169},
year = {2016}
}