Cascade production from antikaon induced reactions on lambda and sigma
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Using a gauged flavor SU(3)-invariant hadronic Lagrangian, we study production fromK induced reactions on and in a coupled-channel approach. Including the four channels of K , K , and , we solve the Bethe-Salpeter equation in the K-matrix approximation by neglecting the off-shell contribution in the intermediate states. For the transition potential which drives the higher-order contribution, we consider all allowed Born diagrams in the s, t, and u channels. With coupling constants determined from the SU(3) symmetry using empirical input, we find that the cross sections for the reactions K , K , K , and K all have values of a few mb. In contrast to the results from the lowest-order Born approximation, the magnitude of these cross sections is less sensitive to the values of the cut-off parameters in the form factors. From the transition matrix in the coupled-channel approach, we have further evaluated the cross sections for the elastic process K K , K , K , , and as well as for the inelastic processes K K and , Implications of the reactions studied here in production from relativistic heavy ion collisions are discussed. 2002 Elsevier Science B.V. All rights reserved.
