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The probability distribution of the proper delay times during scattering on achaotic system is derived in the framework of the random matrix approach andthe supersymmetry method. The result obtained is valid for an arbitrary numberof scattering channels as well as arbitrary coupling to the energy continuum.The case of statistically equivalent channels is studied in detail. Inparticular, the semiclassical limit of infinite number of weak channels is paidappreciable attention.Comment: 4 pages, 2 figures; ref.[14] added, PRL versio

Distribution of Proper Delay Times in Quantum Chaotic Scattering: A Crossover from Ideal to Weak Coupling