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A novel analysis method for excited states in lattice QCD - the nucleon case

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arxiv 1411.6765 v1 pith:5V5CYTQW submitted 2014-11-25 hep-lat

C. Alexandrou , T. Leontiou , C. N. Papanicolas , E. Stiliaris This is my paper · ORCID
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keywords excitedmethodstateslatticeapproachcorrelationeuclideanhadron
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We employ a novel method to analyze Euclidean correlation functions entering the calculation of hadron energies in lattice QCD. The method is based on the sampling of all possible solutions allowed by the spectral decomposition of the hadron correlators. We demonstrate the applicability of the method by studying the nucleon excited states in the positive and negative parity channels over a pion mass range of about 400~MeV to 150~MeV. The results are compared to the standard variational approach routinely used to study excited states within lattice QCD. The main advantage of our new approach is its ability to unambiguously determine all excited states for which the Euclidean time correlation function is sensitive on.

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  1. Physical interpretation of the 2s excitation of the nucleon

    hep-lat 2024-12 conditional novelty 5.0 of 10

    The 2s radial excitation of the nucleon is found to stay near 2 GeV when meson-baryon couplings are suppressed by quenching, supporting its association with the N(1710) and N(1880) resonances rather than the Roper.

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