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A method is presented for analysis of correlation function of twonon-identical particles with strong and Coulomb interactions, resonanceformation, channel coupling and spin structure. For resonance reactions wederive a formula giving the small distance contribution to the correlationfunction. The formalism is used to analyze the preliminary RHIC data on$\pi^{\pm} \Xi^{\mp}$ correlation measurements. The $\Xi^{*}(1530)$ resonanceis successfully described. The $\pi \Xi$ source size is obtained.

$\pi \Xi$ Correlations: an Interweaving of Resonance Interaction, Channel Coupling and Coulomb Effects