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RESEARCH PRODUCT
Bethe-Salpeter Approach for Meson-Meson Scattering in Chiral Perturbation Theory
Juan Luis NievesEnrique Ruiz Arriolasubject
PhysicsNuclear and High Energy PhysicsInfinite setChiral perturbation theoryMesonUnitarityNuclear TheoryScatteringHigh Energy Physics::PhenomenologyOrder (ring theory)FísicaFOS: Physical sciencesScattering amplitudeNuclear Theory (nucl-th)High Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)Iterated functionMathematical physicsdescription
The Bethe-Salpeter equation restores exact elastic unitarity in the s- channel by summing up an infinite set of chiral loops. We use this equation to show how a chiral expansion can be undertaken by successive approximations to the potential which should be iterated. Renormalizability of the amplitudes in a broad sense can be achieved by allowing for an infinite set of counter-terms as it is the case in ordinary Chiral Perturbation Theory. Within this framework we calculate the $\pi \pi$ scattering amplitudes both for s- and p-waves at lowest order in the proposed expansion where a successful description of the low-lying resonances ($\sigma$ and $\rho$) and threshold parameters is obtained. We also extract the SU(2) low energy parameters ${\bar l}_{1,2,3,4}$ from our amplitudes.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1998-07-10 |