Recent developments in U(3) ChPT: meson-meson scattering and finite energy sum rules
Zhi-Hui Guo, J. A. Oller, J. Ruiz de Elvira
TL;DR
This paper explores meson-meson scattering and finite energy sum rules within U(3) chiral perturbation theory, analyzing resonance spectra and the validity of sum rules at different Nc values.
Contribution
It provides a one-loop unitarized analysis of meson scattering and examines the fulfillment of FESR at Nc=3, including extrapolation insights.
Findings
Resonance spectra derived from unitarized amplitudes
FESR satisfaction assessed at Nc=3
Extrapolation of Nc effects discussed
Abstract
We discuss the meson-meson scattering and finite energy sum rule(FESR), based on the one-loop calculation within U(3) chiral perturbation theory. First we obtain the pertinent resonance spectroscopy from the unitarized partial wave scattering amplitudes. Then we investigate how well the FESR can be satisfied in the physical situation at Nc=3. Further discussions on the extrapolation of Nc are also given.
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Taxonomy
TopicsQuantum Chromodynamics and Particle Interactions · Physics of Superconductivity and Magnetism · Particle physics theoretical and experimental studies