Calculation of the double differential cross sections for particle emissions in the continuum region

The width-fluctuation-corrected Hauser-Feshbach theory is used to derive a formula for calculation the double differential cross sections for particle emissions in the continuum region. There are two essential points. The first is how to handle the width fluctuation correction factor, and we use the method of discretization. The second is how to treat the continuum levels of the residual nucleus, and we use a statistical description. We take the neutron-induced inelastic scattering as an example, and calculate the spectra for given out-going angles, the angular distributions, and the spectra. All the calculated cross sections are found reasonable and consistent with each other