Low Energy Sum Rules For Pion-Pion Scattering and Threshold Parameters

Abstract

We derive a set of sum rules for threshold parameters of pion-pion scattering whose dispersion integrals are rapidly convergent and are dominated by S- and P-waves absorptive parts. Stringent constraints on some threshold parameters are obtained.

33 pages plain LaTeX, 5 figures using TeXDraw (appended at the end are two files, texdraw.sty and texdraw.tex). In case of difficulty hard copies may be obtained by sending e-mail to [email protected] or [email protected]

References in corpus (4)

• On the Foundations of Chiral Perturbation Theory
• The Low Energy $\pi \pi$ Amplitude to One and Two Loops
• What $\pi -\pi$ Scattering Tells Us About Chiral Perturbation Theory
• $K_{l4}$ - Decays Beyond One Loop

Cited by in corpus (8)

• ππscattering
• The inverse amplitude method in Chiral Perturbation Theory
• The Inverse Amplitude Method and Chiral Perturbation Theory to two Loops
• Comment on the Prediction of Two-loop Standard Chiral Perturbation Theory for Low-Energy ππScattering
• The Chiral Coupling Constants $\lb{1}$ and $\lb{2}$ from \pipi Phase Shifts
• Determination of SU(2) Chiral Perturbation Theory low energy constants from a precise description of pion-pion scattering threshold parameters
• Higher Threshold Parameters in pi pi Scattering
• Scattering Lengths and Medium and High Energy $\pi \pi$ Scattering