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arXiv · 1612.07966

Strange resonance poles from $Kπ$ scattering below 1.8 GeV

J. R. Peláez·A. Rodas·J. Ruiz de Elvira
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Abstract

In this work we present a determination of the mass, width and coupling of the resonances that appear in kaon-pion scattering below 1.8 GeV. These are: the much debated scalar $κ$-meson, nowdays known as $K_0^*(800)$, the scalar $K_0^*(1430)$, the $K^*(892)$ and $K_1^*(1410)$ vectors, the spin-two $K_2^*(1430)$ as well as the spin-three $K^*_3(1780)$. The parameters will be determined from the pole associated to each resonance by means of an analytic continuation of the $Kπ$ scattering amplitudes obtained in a recent and precise data analysis constrained with dispersion relations, which were not well satisfied in previous analyses. This analytic continuation will be performed by means of Padé approximants, thus avoiding a particular model for the pole parameterization. We also pay particular attention to the evaluation of uncertainties.

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J. R. Peláez, A. Rodas, J. Ruiz de Elvira. 2017-02-21. Strange resonance poles from $Kπ$ scattering below 1.8 GeV. https://doi.org/10.1140/epjc%2Fs10052-017-4668-1

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