Parametric correlations of phase shifts and statistics of time delays in quantum chaotic scattering: Crossover between unitary and orthogonal symmetries

We analyze universal statistical properties of phase shifts and time delays for open chaotic systems in the crossover regime of partly broken time-reversal invariance. In particular, we find that the distribution of the time delay shows ${\mathrm{\tau }}^{\mathrm{-}3\mathrm{/}2}$ behavior for weakly open systems of any symmetry.