Hamiltonian Effective Field Theory Study of the N^{}(1535) Resonance in Lattice QCD

Drawing on experimental data for baryon resonances, Hamiltonian effective field theory (HEFT) is used to predict the positions of the finite-volume energy levels to be observed in lattice QCD simulations of the lowest-lying J^{P}=1/2^{-} nucleon excitation. In the initial analysis, the phenomenologi...

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Published inPhysical review letters Vol. 116; no. 8; p. 082004
Main Authors Liu, Zhan-Wei, Kamleh, Waseem, Leinweber, Derek B, Stokes, Finn M, Thomas, Anthony W, Wu, Jia-Jun
Format Journal Article
LanguageEnglish
Published United States 26.02.2016
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Summary:Drawing on experimental data for baryon resonances, Hamiltonian effective field theory (HEFT) is used to predict the positions of the finite-volume energy levels to be observed in lattice QCD simulations of the lowest-lying J^{P}=1/2^{-} nucleon excitation. In the initial analysis, the phenomenological parameters of the Hamiltonian model are constrained by experiment and the finite-volume eigenstate energies are a prediction of the model. The agreement between HEFT predictions and lattice QCD results obtained on volumes with spatial lengths of 2 and 3 fm is excellent. These lattice results also admit a more conventional analysis where the low-energy coefficients are constrained by lattice QCD results, enabling a determination of resonance properties from lattice QCD itself. Finally, the role and importance of various components of the Hamiltonian model are examined.
ISSN:1079-7114
DOI:10.1103/PhysRevLett.116.082004