Model calculation of the differential cross sections and angle-integrated cross sections of the emitted triton for neutron-induced Li6 reactions at low incident energies

Abstract

Regarded as important for applications and theoretical studies, the differential cross sections of the emitted triton for the neutron-induced $^{6}\mathrm{Li}$ reaction at low incident energies were calculated, based on the zero-range distorted-wave Born approximation theory with the assumption of $^{6}\mathrm{Li}$ nucleus consisting of $t{+}^{3}\mathrm{He}$ or $d+\ensuremath{\alpha}$. As a function of widths and excited energies of the discrete energy levels, an effective excited energy formula was proposed to describe their partial contributions. In addition, the optical model potential parameters, which had been successfully used to reproduce the double-differential cross sections of the emitted neutrons in our previous works in incident energy range from 5.0 to 20.0 MeV were extended in a low-energy range from 1.0 eV to 3.0 MeV in this paper. The calculated results agreed well with the measured differential cross sections recently published in 2020 and were further consistent with the measured angle-integrated cross sections. This indicates that the knock-out process and heavy-particle knockout process were dominant in an energy range from 1.0 eV to 3.0 MeV, whereas the shapes of the measured angular distributions in incident energy range from 0.1 to 1.0 MeV could be successfully explained by the Hauser-Feshbach model.