Location, correlation, radiation: where is the $\sigma$, what is its structure and what is its coupling to photons?
Abstract
Scalar mesons are a key expression of the infrared regime of QCD. The lightest of these is the . Now that its pole in the complex energy plane has been precisely located, we can ask whether this state is transiently or or a multi-meson molecule or largely glue? The two photon decay of the can, in principle, discriminate between these possibilities. We review here how the , cross-sections can be accurately computed. The result not only agrees with experiment, but definitively fixes the radiative coupling of the . This equates to a two photon width of keV, which accords with the simple non-relativistic quark model expectation for a scalar. Nevertheless, robust predictions from relativistic strong coupling QCD are required for each of the possible compositions before we can be sure which one really delivers the determined coupling.
Keywords
Cite
@article{arxiv.0705.3314,
title = {Location, correlation, radiation: where is the $\sigma$, what is its structure and what is its coupling to photons?},
author = {M. R. Pennington},
journal= {arXiv preprint arXiv:0705.3314},
year = {2008}
}
Comments
18 pages, 11 figures. To be published in Modern Physics Letters A A number of references updated and three sentences changed in the text to reflect these