Correlation function for the a₀(980)

We have conducted a model independent analysis of the K⁺ K̄⁰ K + K ¯ 0 pair correlation function obtained from ultra high energy pp collisions, with the aim of extracting the information encoded in it related to the KK̄ K K ¯ interaction and the coupled channel π ⁺ η π + η . With the present large errors at small relative K⁺K̄⁰ K + K ¯ 0 momenta, we find that the information obtained about the scattering matrix suffers from large uncertainties. Even then, we are able to show that the data imply the existence of the a₀ a 0 resonance, a₀(980) a 0 ( 980 ) , showing as a strong cusp close to the KK̄ K K ¯ threshold. We also mention that the measurement of the π ⁺ η π + η correlation function will be essential in order to constrain more the information on KK̄ K K ¯ dynamics that can be obtained from correlation functions.