Lattice baryon spectroscopy with multi-particle interpolators

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.

13 Pages, 12 Figures, Updated version as appears in PRD

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Cited by in corpus (27)

• Pentaquark and Tetraquark states
• Baryons as relativistic three-quark bound states
• Scattering processes and resonances from lattice QCD
• Hamiltonian effective field theory study of the ${\mathbf{N}}^{\ast }(1535)$ resonance in lattice QCD
• Hamiltonian effective field theory study of the ${\mathbf{N}}^{\ast }(1440)$ resonance in lattice QCD
• Search for low-lying lattice QCD eigenstates in the Roper regime
• Structure of the Roper Resonance from Lattice QCD Constraints
• A variational study of two-nucleon systems with lattice QCD
• Nucleon-pion-state contribution to nucleon two-point correlation functions
• Nucleon matrix elements using the variational method in lattice QCD
• Chiral perturbation theory and nucleon-pion-state contaminations in lattice QCD
• N* Spectroscopy from Lattice QCD: The Roper Explained
• Elastic Form Factors of Nucleon Excitations in Lattice QCD
• Nucleon resonance structure in the finite volume of lattice QCD
• Parity-expanded variational analysis for non-zero momentum
• Theoretical tools for neutrino scattering: interplay between lattice QCD, EFTs, nuclear physics, phenomenology, and neutrino event generators
• Constraining beyond the Standard Model nucleon isovector charges
• Role of chiral symmetry in the nucleon excitation spectrum
• Accessing high-momentum nucleons with dilute stochastic sources
• Hadron Structure and Spectrum from the Lattice
• Chiral Analysis of the Nucleon Mass and Sigma Commutator
• Electromagnetic Form Factors of Excited Nucleons via Parity-Expanded Variational Analysis
• Nucleon Excited States from Lattice QCD and Hamiltonian Effective Field Theory
• Electromagnetic Form Factors of Nucleon Excitations in Lattice QCD
• $N^{\ast }$ Resonances in Lattice QCD from (mostly) Low to (sometimes) High Virtualities
• Higher order quantization conditions for two-body scattering with spin
• Spectroscopy with Local Multi-hadron Interpolators in Lattice QCD