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From Extraction of Nucleon Resonances to LQCD

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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 \(\pi N\), \(\pi {\varDelta }\) 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.

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Authors and Affiliations

  1. Physics Division, Argonne National Laboratory, Argonne, IL, 60439, USA

    T.-S. H. Lee

  2. Special Research Center for the Subatomic Structure of Matter (CSSM), School of Chemistry and Physics, University of Adelaide, Adelaide, 5005, Australia

    Jia-jun Wu

  3. Research Center for Nuclear Physics, Osaka University, Ibaraki, Osaka, 567-0047, Japan

    Hiroyuki Kamano

Authors
  1. T.-S. H. Lee
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  2. Jia-jun Wu
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  3. Hiroyuki Kamano
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Correspondence to T.-S. H. Lee.

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This article belongs to the special issue “Nucleon Resonances”.

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Lee, TS.H., Wu, Jj. & Kamano, H. From Extraction of Nucleon Resonances to LQCD. Few-Body Syst 57, 883–891 (2016). https://doi.org/10.1007/s00601-016-1123-z

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