2015/12/31 by Zhan-Wei Liu, Waseem Kamleh, Derek B. Leinweber +4
Mathematics · Physics and Astronomy · #Baryon #Eigenvalues and eigenvectors #Excitation #Hamiltonian (control theory) #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Lattice field theory #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #hep-lat #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevlett.116.082004
published as Phys. Rev. Lett. 116, 082004 (2016) · 5 pages, 2 figures; version published in Phys. Rev. Lett
openalex publication_date 2016/02/26 · arxiv created 2016/02/29 · arxiv updated 2016/03/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
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 JP=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.