Lattice QCD determination of patterns of excited baryon states

Details Lattice QCD determination of patterns of excited baryon states Lattice QCD determination of patterns of excited baryon states

2007-08-31

arxiv.org/abs/0709.0008v3

Phys.Rev.D76:074504,2007

Physics

High Energy Physics

High Energy Physics - Lattice

14 pages, 5 figures

Scientific paper

10.1103/PhysRevD.76.074504

Energies for excited isospin I=1/2 and I=3/2 states that include the nucleon and Delta families of baryons are computed using quenched, anisotropic lattices. Baryon interpolating field operators that are used include nonlocal operators that provide G_2 irreducible representations of the octahedral group. The decomposition of spin 5/2 or higher spin 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. The overall pattern of low-lying excited states corresponds well to the pattern of physical states subduced to the irreducible representations of the octahedral group.

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