πK scattering in chiral perturbation theory to one loop

Véronique Bernard, Norbert Kaiser, Ulf G. Meißner

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146 Scopus citations

Abstract

We evaluate the πK scattering amplitude at next-to-leading order in the framework of chiral perturbation theory. All low-energy constants appearing in the effective lagrangian of the pseudoscalars have previously been determined. We calculate the scattering lengths of the S- and P-waves as well as the expansion parameters around the point v ≡ (s - u)/4MK = t = 0 in the unphysical region. Furthermore, phase-shifts of the low partial waves are presented and compared to the data. In most cases, the chiral predictions are comparable to the trends set by the empirical information. For a precise comparison, however, more accurate experimental determinations of the πK scattering process at low and moderate energies would be necessary. We urge the experimenters to perform these.

Original languageEnglish
Pages (from-to)129-152
Number of pages24
JournalNuclear Physics, Section B
Volume357
Issue number1
DOIs
StatePublished - 24 Jun 1991
Externally publishedYes

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