We present a method for calculating scattering phase shifts which utilizes continuum-discretized states obtained in a bound-state type calculation. The wrong asymptotic behavior of the discretized state is remedied by means of the Green's function formalism. Test examples confirm the accuracy of the method. The 4He+n scattering is described using realistic nucleon-nucleon potentials. The 3/2- and 1/2- phase shifts obtained in a single-channel calculation are too small in comparison with experiment. The 1/2+ phase shifts are in reasonable agreement with experiment, and gain contributions both from the tensor and central components of the nucleon-nucleon potential.
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