Excited Baryon Spectroscopy from Lattice QCD: Finite Size Effect and Hyperfine Mass Splitting

Abstract

A study of the finite-size effect is carried out for spectra of both ground-state and excited-state baryons in quenched lattice QCD using Wilson fermions. Our simulations are performed at beta=6.2 with three different spatial sizes, La~1.6, 2.2 and 3.2 fm. It is found that the physical lattice size larger than 3 fm is required for delta states in all spin-parity (J^{P}=1/2^{+/-}, 3/2^{+/-}) channels and also negative-parity nucleon state (J^{P}=1/2^{-}) even in the rather heavy quark mass region. We also find a peculiar behavior of the finite-size effect on the hyperfine mass splittings between the nucleon and the delta in both parity channels.

arXiv comment21 pages, REVTeX, 14 figures included, typos corrected, and references added

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Cited by in corpus (33)

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• Light Hadron Masses from Lattice QCD
• Three-particle quantization condition in a finite volume: 1. The role of the three-particle force
• Resonance properties from the finite-volume energy spectrum
• Disentangling the dynamical origin of P11 Nucleon Resonances
• Nucleon form factors with 2+1 flavor dynamical domain-wall fermions
• Clebsch-Gordan Construction of Lattice Interpolating Fields for Excited Baryons
• Lattice QCD determination of patterns of excited baryon states
• Excited State Nucleon Spectrum with Two Flavors of Dynamical Fermions
• Excited hadrons on the lattice: Mesons
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• First lattice study of low-energy charmonium-hadron interaction
• Spectral Analysis of Excited Nucleons in Lattice QCD with Maximum Entropy Method
• Lattice study of flavor SU(3) breaking in hyperon beta decay
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• Light-cone Distribution Amplitudes of the Nucleon and Negative Parity Nucleon Resonances from Lattice QCD
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• First Lattice QCD Study of the Sigma -> n Axial and Vector Form Factors with SU(3) Breaking Corrections
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• Nucleon form factors from quenched lattice QCD with domain wall fermions
• Chiral corrections to the Roper mass
• Excited-State Effective Masses in Lattice QCD
• The mass of the Delta resonance in a finite volume: fourth-order calculation
• Nucleon isovector couplings in Nf = 2 + 1 lattice QCD at the physical point
• Continuum limit of hyperon vector coupling $f_1(0)$ from 2+1 flavor domain wall QCD
• $\pi N$ and $\pi \pi N$ Couplings of the $\Delta (1232)$ and its Chiral Partners
• Method for high-precision determination of the nucleon axial structure using lattice QCD: Removing $\pi N$-state contamination
• Light baryon spectrum using improved interpolating operators
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