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

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 ${\Xi }^{\ast }(1530)$ resonance is successfully described. The $\pi \Xi$ source size is obtained.

Comments: 21 pages, 3 figures