氘核中子反应截面的法捷耶夫方程理论计算

Neutron induced nuclear reaction on light nuclei is an important subject in nuclear data research. The reaction of the n+d three nucleons system is also an important platform for examining the nucleon-nucleon interaction theories. The progress on calculations of neutron induced nuclear reactions on deuterons with the Faddeev-AGS equations was introduced in this paper. The equations were solved with the wave packet continuum discretization method in momentum space. The calculated results include the angular distributions of elastic scattering, double-differential cross sections of the emitting neutrons and protons from breakup reactions, excitation functions of the total elastic scattering cross sections, and the excitation function of the total breakup reaction cross sections. The elastic scattering cross sections were calculated with the separable Paris nucleon-nucleon interaction for incident energy below 20 MeV and with the Nijmegen potential for incident energy above 20 MeV. A comparison between results with the Paris potential, which consists of both s- and p-wave nucleon-nucleon (NN) interactions, and those with the s-wave Yamaguchi potential for the n+d elastic scattering suggest that NN interactions that are beyond the s-wave are necessary to describe the experimental data, especially at higher incident energy. Due to practical reasons, calculations of the breakup cross sections, namely, the double differential cross sections of the emitting neutrons and protons are limited with a separable s-wave Yamaguchi-type nucleon-nucleon interaction, which limited the calculation of the double differential cross sections to below 20 MeV. Fair agreements are found between the results in this paper and the experimental data and with the evaluated data in CENDL-3.2, ENDF/B-Ⅷ.0, JENDL-5, and JEFF-3.3.