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Studying Kaon-pion S-wave scattering in K-matrix formalism

Long Li·Bing-song Zou·Guang-lie Li
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Abstract

We generalize our previous work on ππscattering to Kπscattering, and re-analyze the experiment data of Kπscattering below 1.6 GeV. Without any free parameter, we explain KπI=3/2 S-wave phase shift very well by using t-channel rho and u-channel K^* meson exchange. With the t-channel and u-channel meson exchange fixed as the background term, we fit the KπI=1/2 S-wave data of the LASS experiment quite well by introducing one or two s-channel resonances. It is found that there is only one s-channel resonance between Kπthreshold and 1.6 GeV, i.e., K_0^*(1430) with a mass around 1438~1486 MeV and a width about 346 MeV, while the t-channel rho exchange gives a pole at (450-480i) MeV for the amplitude.

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Long Li, Bing-song Zou, Guang-lie Li. 2002-11-03. Studying Kaon-pion S-wave scattering in K-matrix formalism. https://doi.org/10.1103/physrevd.67.034025

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