A decay width calculation for a hybrid exotic meson h, with JPC=1-+, is presented for the channel h->pi+a1. This quenched lattice QCD simulation employs Luescher's finite box method. Operators coupling to the h and pi+a1 states are used at various levels of smearing and fuzzing, and at four quark masses. Eigenvalues of the corresponding correlation matrices yield energy spectra that determine scattering phase shifts for a discrete set of relative pi+a1 momenta. Although the phase shift data is sparse, fits to a Breit-Wigner model are attempted, resulting in a decay width of about 60 MeV when averaged over two lattice sizes.
@article{arxiv.hep-lat/0606005,
title = {Exotic Meson Decay Widths using Lattice QCD},
author = {M. S. Cook and H. R. Fiebig},
journal= {arXiv preprint arXiv:hep-lat/0606005},
year = {2009}
}
Comments
9 pages, 8 figures, RevTex4, minor change to Fig. 1