In this paper we summarize the ellipsoidally symmetric Buda-Lund models results on HBT radii. We calculate the Bose-Einstein correlation function from the model and derive formulas for the transverse momentum dependence of the correlation radii in the Bertsch-Pratt system of out, side and longitudinal directions. We show a comparison to $sqrt{s_{rm NN}}=200 GeV$ RHIC PHENIX two-pion correlation data and make prediction on the same observable for different particles.
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