Date of Original Version

10-2007

Type

Article

Abstract or Description

Energies for excited isospin I=1/2 and I=3/2 states that include the nucleon and Δ families of baryons 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 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.

DOI

10.1103/PhysRevD.76.074504

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Published In

Phys. Rev. D , 76, 074504.