We study baryons on the lattice with a special focus on excited states. For that purpose we construct several interpolators which differ in their Dirac structure. These interpolators are built from Jacobi smeared quarks with different widths in order to allow for operators with improved spatial wavefunctions. We compute all cross correlations and use the variational method to determine which combinations of operators have best overlap with ground and excited states. Our approach yields promising results for the spin-1/2 baryons: nucleon, sigma, xi and lambda. For the spin-3/2 baryons, delta and omega, we obtain results which are consistent with results of other groups.
@article{arxiv.hep-lat/0509051,
title = {Baryon spectroscopy with spatially improved quark sources},
author = {Tommy Burch and Christof Gattringer and Leonid Ya. Glozman and Christian Hagen and Dieter Hierl and C. B. Lang and Andreas Schaefer},
journal= {arXiv preprint arXiv:hep-lat/0509051},
year = {2007}
}
Comments
LaTeX [PoS], 6 pages, 4 figures, talk presented at Lattice 2005 (Hadron spectrum and quark masses)