On freeze-out problem in hydro-kinetic approach to A+A collisions

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A new method for evaluating spectra and correlations in the hydrodynamic approach is proposed. It is based on an analysis of Boltzmann equations (BE) in terms of probabilities for constituent particles to escape from the interacting system. The conditions of applicability of Cooper-Frye freeze-out prescription are considered within the method. The results are illustrated with a non-relativistic exact solution of BE for expanding spherical fireball as well as with approximate solutions for ellipsoidally expanding ones.
4 pages including 2 figures, RevTex, stylistic and clarifying corrections are made, submitted to Phys. Rev. Lett

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