Lattice QCD determination of states with spin 5/2 or higher in the spectrum of nucleons

A. Lichtl; C. Morningstar; D. G. Ricards; G. T. Fleming; I. Sato; R.G. Edwards; S. Basak; S. J. Wallace

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Lattice QCD determination of states with spin 5/2 or higher in the spectrum of nucleons

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arxiv hep-lat/0609052 v1 pith:U3ZCQ2NF submitted 2006-09-26 hep-lat

S. Basak , R.G. Edwards , G. T. Fleming , A. Lichtl , C. Morningstar , D. G. Ricards , I. Sato , S. J. Wallace This is my paper · ORCID

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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 $G_2$ 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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