Lattice QCD determination of states with spin 5/2 or higher in the spectrum of nucleons
S. Basak, R. G. Edwards, G. T. Fleming, A. Lichtl, C. Morningstar, D. G. Ricards, I. Sato, S. J. Wallace
Abstract
Energies for excited isospin 1/2 states that include the nucleon are computed using quenched, anisotropic lattices. Baryon interpolating field operators that are used include nonlocal operators that provide G2 irreducible representations of the octahedral group. The decomposition of spin 5/2 or higher states is realized for the first time in a lattice QCD calculation. We observe patterns of degenerate energies in the irreducible representations of the octahedral group that correspond to the subduction of the continuum spin 5/2 or higher.
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