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

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arxiv hep-ph/0211026 v1 pith:4IWH2YFU submitted 2002-11-03 hep-ph

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

classification hep-ph
keywords scatteringexchanges-wavet-channeldataexperimentmesons-channel
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We generalize our previous work on \pi\pi scattering to K\pi scattering, and re-analyze the experiment data of K\pi scattering below 1.6 GeV. Without any free parameter, we explain K\pi I=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 K\pi I=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 K\pi threshold 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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