Pion-Kaon Scattering near the Threshold in Chiral SU(2) Perturbation Theory

Details Pion-Kaon Scattering near the Threshold in Chiral SU(2) Perturbation Theory Pion-Kaon Scattering near the Threshold in Chiral SU(2) Perturbation Theory

1999-04-05

arxiv.org/abs/hep-ph/9904230v2

Nucl.Phys. B555 (1999) 507-539

Physics

High Energy Physics

High Energy Physics - Phenomenology

38 pages, 5 figures, PhD Thesis, references added

Scientific paper

10.1016/S0550-3213(99)00336-3

In the context of chiral SU(2) perturbation theory, pion-kaon scattering is analysed near the threshold to fourth chiral order. The scattering amplitude is calculated both in the relativistic framework and by using an approach similar to heavy baryon chiral perturbation theory. Both methods lead to equivalent results. We obtain relations between threshold parameters, valid to fourth chiral order, where all those combinations of low-energy constants which are not associated with chiral-symmetry breaking terms drop out. The remaining low-energy constants can be estimated using chiral SU(3) symmetry. Unfortunately, the experimental information is not precise enough to test our low-energy theorems.

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