$a_{0}(980)$ revisited
Abstract
Light scalar hadrons can be understood as dynamically generated resonances. These arise as `companion poles' in the propagators of quark-antiquark seed states when accounting for meson-loop contributions to the self-energies of the latter. Along this line, we extend previous calculations of T\"ornqvist and Roos and of Boglione and Pennington, where the resonance appears as companion pole in the propagator of which is predominantly a quark-antiquark state. We also construct an effective Lagrangian where couples to pseudoscalar mesons with both non-derivative and derivative interactions. Computing the one-loop self-energy, we demonstrate that the propagator has two poles: a companion pole corresponding to and a pole of the seed state . The positions of these poles are in quantitative agreement with experimental data.
Keywords
Cite
@article{arxiv.1508.00372,
title = {$a_{0}(980)$ revisited},
author = {Thomas Wolkanowski and Francesco Giacosa and Dirk H. Rischke},
journal= {arXiv preprint arXiv:1508.00372},
year = {2016}
}
Comments
14 pages, 2 figures, 1 table