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Comparison of Pion-Kaon Scattering in SU(3) Chiral Perturbation Theory and Dispersion Relat

We establish the framework for the comparison of $\pi K$ scattering amplitudes from SU(3) chiral perturbation theory with suitable dispersive representations which result from the combination of certain fixed-t dispersion relations with dispersion relation

1

002 raM 2 2v3202100/hp-pe:hviXraIISc-CTS-12/00FZJ-IKP(Th)-2000-18

ComparisonofπKScatteringinSU(3)ChiralPerturbationTheory

andDispersionRelations1

B.AnanthanarayanCentreforTheoreticalStudiesIndianInstituteofScienceBangalore560012,India

P.B¨uttikerInstitutf¨urKernphysikForschungszentrumJ¨ulichD-52425J¨ulich,Germany

Abstract

WeestablishtheframeworkforthecomparisonofπKscatteringamplitudesfromSU(3)chiralperturbationtheory

withsuitabledispersiverepresentationswhichresultfromthecombinationofcertain http://doc.100lw.comingasimpleparametrizationforthelowestpartialwaves, rstestimatesforsomecombinationsarepresented.

Keywords:ChiralPerturbationTheory,DispersionRelations,πKScatteringP.A.C.S.Nos.:12.39.Fe,11.55.Fv,13.75.Lb

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