Yano-Koonin-Podgoretskii Parametrisation of the HBT Correlator: A Numerical Study
Abstract
The Yano-Koonin-Podgoretskii (YKP) parametrisation of Hanbury-Brown/Twiss (HBT) two-particle correlation functions opens new strategies for extracting the emission duration and testing the longitudinal expansion in heavy-ion collisions. Based on the recently derived model-independent expressions, we present a detailed parameter study of the YKP fit parameters for a hydrodynamic finite expanding source model of heavy-ion collisions. Our study supports the clean spatio-temporal interpretation of the three YKP radius parameters as longitudinal extension, transverse extension and emission duration of the source in the YKP Lorentz frame. This frame is specified by the fourth fit parameter, the Yano-Koonin velocity which describes to a good approximation the velocity of the fluid element with highest emissivity and allows to test for the longitudinal expansion of the source. Deviations from this interpretation of the YKP parameters are quantitatively discussed and found to be generically small.Keywords
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