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
TL;DR
This paper constructs baryonic operators using irreducible representations of the double-covered octahedral group to improve coupling to various spin states in lattice QCD simulations.
Contribution
It introduces a systematic method for building baryon operators based on IRs of the double-covered octahedral group, enhancing state coupling in lattice calculations.
Findings
Orthogonality relations confirmed in quenched lattice simulation
Complete sets of local and nonlocal operators provided
Improved coupling to higher spin states achieved
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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