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Lattice baryon spectroscopy with multi-particle interpolators

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arxiv 1501.07667 v2 pith:PEO3CNUL submitted 2015-01-30 hep-lat

classification hep-lat
keywords spectrumnucleonbasesfieldsinterpolatorslatticelocalstate
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

In 2 + 1 flavour lattice QCD the spectrum of the nucleon is presented for both parities using local meson-baryon type interpolating fields in addition to the standard three-quark nucleon interpolators. The role of local five-quark operators in extracting the nucleon excited state spectrum via correlation matrix techniques is explored on dynamical gauge fields with $m_\pi$ = 293 MeV, leading to the observation of a state consistent with the S-wave $N\pi$ scattering threshold in the negative-parity sector. Furthermore, the robustness of the variational technique is examined by studying the spectrum on a variety of operator bases. Fitting a single-state ansatz to the eigenstate-projected correlators provides robust energies for the low-lying spectrum that are essentially invariant despite being extracted from qualitatively different bases.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Higher order quantization conditions for two-body scattering with spin

    hep-lat 2026-02 accept novelty 7.0 of 10

    Higher-order finite-volume quantization conditions for spin-1/2 + spin-0 scattering are derived to J=11/2 and numerically checked to agree with independent box spectra to six significant figures.

  2. Spectral parameters of the $\rho$ resonance from lattice QCD

    hep-lat 2025-02 conditional novelty 6.0 of 10

    Lattice QCD with physical pion mass and three lattice spacings yields rho mass 781.6 +/- 10.0 MeV and width 146.5 +/- 9.9 MeV, matching experiment.

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