Cascade production from antikaon induced reactions on lambda and sigma Original Research Article

Using a gauged flavor SU(3)-invariant hadronic Lagrangian, we study Ξ production from View the MathML source induced reactions on Λ and Σ in a coupled-channel approach. Including the four channels of View the MathML source, View the MathML source, πΞ, and ηΞ, 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 View the MathML source, View the MathML source, View the MathML source, and View the MathML source 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 View the MathML source, View the MathML source, πΞ→πΞ, and ηΞ→ηΞ as well as for the inelastic processes View the MathML source and πΞ→ηΞ. Implications of the reactions studied here in Ξ production from relativistic heavy ion collisions are discussed.