When hadrons become unstable: a novel type of non-analyticity in chiral extrapolations
High Energy Physics - Lattice
2015-03-19 v1 High Energy Physics - Phenomenology
Nuclear Theory
Abstract
Hadron masses show a specific dependence on the quark masses. Therefore, the variation of these masses can cause a resonance in a hadronic scattering amplitude to become a bound state. Consequently, the amplitude exhibits a non-analytic behavior at this transition. Crossed amplitudes, where the resonance can be exchanged in the t-channel, can be shown to exhibit the same phenomenon by s-->t analytic continuation. This entails possible kinks in lattice quark mass extrapolations needed to compute hadronic observables.
Cite
@article{arxiv.1105.3366,
title = {When hadrons become unstable: a novel type of non-analyticity in chiral extrapolations},
author = {F. -K. Guo and C. Hanhart and F. J. Llanes-Estrada and U. -G. Meißner},
journal= {arXiv preprint arXiv:1105.3366},
year = {2015}
}
Comments
14 pages, 6 figures