The Use of Dispersion Relations in the $\pi \pi$ and $K\bar{K}$ Coupled-Channel System

Abstract

Systematic and careful studies are made on the properties of the IJ=00 $\pi \pi$ and $K\bar{K}$ coupled-channel system, using newly derived dispersion relations between the phase shifts and poles and cuts. The effects of nearby branch point singularities to the determination of the $f_0(980)$ resonance are estimated and and discussed.

22 pages with 5 eps figures. A numerical bug in previous version is fixed, discussions slightly expanded. No major conclusion is changed

References in corpus (4)

• A coupled channel analysis of the centrally produced K+K- and pi+pi- final states in pp interactions at 450 GeV/c
• Left Hand Singularities, Hadron Form Factors and the Properties of the Sigma Meson
• A Numerical Analysis to the {$\pi$} and {K} Coupled--Channel Scalar Form-factor
• Model-Independent Confirmation of the $\sigma$-Meson below 1 GeV and Indication for the $f_0(1500)$ Glueball

Cited by in corpus (6)

• Couplings of light I=0 scalar mesons to simple operators in the complex plane
• Gluonium nature of the sigma/f_0(600) from its coupling to KK
• Unitarity, analyticity, dispersion relations and resonances in strongly interacting $W_L{W}_L$, $Z_L{Z}_L$ and $hh$ scattering
• The origin of light $0^{+}$ scalar resonances
• New Insights on Low Energy $\pi N$ Scattering Amplitudes
• Two-Meson Form Factors in Unitarized Chiral Perturbation Theory