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