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.

Comments: 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 anant@butp.unibe.ch or dtoublan@ulys.unil.ch