Working with a large basis of covariant derivative-based meson interpolating fields we demonstrate the feasibility of reliably extracting multiple excited states using a variational method. The study is performed on quenched anisotropic lattices with clover quarks at the charm mass. We demonstrate how a knowledge of the continuum limit of a lattice interpolating field can give additional spin-assignment information, even at a single lattice spacing, via the overlap factors of interpolating field and state. Excited state masses are systematically high with respect to quark potential model predictions and, where they exist, experimental states. We conclude that this is most likely a result of the quenched approximation.
@article{arxiv.0707.4162,
title = {Charmonium excited state spectrum in lattice QCD},
author = {J. J. Dudek and R. G. Edwards and N. Mathur and D. G. Richards},
journal= {arXiv preprint arXiv:0707.4162},
year = {2008}
}
Comments
Fixed typos: normalisation of chi-squared, some operator projections in appendix, missing lattice irrep table