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The four-body equations of Alt, Grassberger and Sandhas are solved for the neutron-H scattering at energies above the four-nucleon breakup threshold. The accuracy and practical applicability of the employed complex energy method is significantly improved by the use of integration with the special weights. This allows to obtain fully converged results with realistic nuclear interactions. A satisfactory description of the existing neutron-H elastic scattering data is obtained.

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