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# A new analysis of $\pi K$ scattering from Roy and Steiner type equations

Abstract : With the aim of generating new constraints on the OZI suppressed couplings of chiral perturbation theory a set of six equations of the Roy and Steiner type for the S- and P-waves of the $\pi K$ scattering amplitudes is derived. The range of validity and the multiplicity of the solutions are discussed. Precise numerical solutions are obtained in the range $E\lesssim1$ GeV which make use as input, for the first time, of the most accurate experimental data available at $E\gtrsim1$ GeV for both $\pi K\to\pi K$ and $\pi\pi\to K\overline{K}$ amplitudes. Our main result is the determination of a narrow allowed region for the two S-wave scattering lengths. Present experimental data below 1 GeV are found to be in generally poor agreement with our results. A set of threshold expansion parameters, as well as sub-threshold parameters are computed. For the latter, a matching with the SU(3) chiral expansion at NLO is performed.
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Journal articles
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http://hal.in2p3.fr/in2p3-00014081
Contributor : Suzanne Robert Connect in order to contact the contributor
Submitted on : Tuesday, October 28, 2003 - 11:25:21 AM
Last modification on : Wednesday, September 16, 2020 - 4:03:01 PM

### Citation

P. Buttiker, S. Descotes-Genon, B. Moussallam. A new analysis of $\pi K$ scattering from Roy and Steiner type equations. European Physical Journal C: Particles and Fields, Springer Verlag (Germany), 2004, 33, pp.409-432. ⟨10.1140/epjc/s2004-01591-1⟩. ⟨in2p3-00014081⟩

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