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Baryonic sources using irreducible representations of the double-covered octahedral group

LHP Collaboration·S. Basak·R. Edwards·R. Fiebig·G. T. Fleming·U. M. Heller·C. Morningstar·D. Richards·I. Sato·S. Wallace
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Abstract

Irreducible representations (IRs) of the double-covered octahedral group are used to construct lattice source and sink operators for three-quark baryons. The goal is to achieve a good coupling to higher spin states as well as ground states. Complete sets of local and nonlocal straight-link operators are explicitly shown for isospin 1/2 and 3/2 baryons. The orthogonality relations of the IR operators are confirmed in a quenched lattice simulation.

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LHP Collaboration, S. Basak, R. Edwards, R. Fiebig, G. T. Fleming, U. M. Heller, C. Morningstar, D. Richards, I. Sato, S. Wallace. 2004-09-14. Baryonic sources using irreducible representations of the double-covered octahedral group. https://doi.org/10.1016/j.nuclphysbps.2004.11.353

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