Abstract
Kπ S wave scattering is studied using a chiral unitary approach (ChUT) taking into account coupled channels. With the amplitudes derived from the lowest order chiral Lagrangian as the kernel of a set of coupled channel Bathe–Salpeter equations, the I = 1 / 2 S wave Kπ scattering phase shifts below 1.2 GeV can be fitted by one parameter, a subtraction constant, and a scalar resonance corresponding to the controversial κ ( K 0 ∗ ( 800 ) ) can be generated dynamically. A good description of the I = 3 / 2 S wave Kπ scattering phase shifts below 1.2 GeV can also be obtained. An artificial singularity in the cut-off method of the 2-meson loop integral of the ChUT is found. The formalism is applied to deal with the S wave Kπ final state interaction (FSI) in the decay J / ψ → K ¯ ∗ 0 ( 892 ) K + π − , and a qualitatively good fit to the data is achieved. The role of κ in the decay is discussed.
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