Model calculation of the differential cross sections and angle-integrated cross sections of the emitted triton for neutron-induced ${}^6\mathrm{Li}$ reactions at low incident energies

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 $d+\alpha$. 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.

Figure 1

The excited energy dependence of Eq. (26) for the ${}^6\mathrm{Li}(n,t$) reaction below 3 MeV. The positions of the fourth–seventh energy levels of the compound nucleus are shown in this figure.

Figure 2

The incident energy dependence of the weighting coefficients for the knockout process and the heavy-particle knockout process in the energy range from 1 eV to 3 MeV.

Figure 3

Comparison of the calculated angle-integrated cross sections of the emitted triton for the neutron-induced ${}^6\mathrm{Li}$ reaction with the experimental data [9] and the evaluated data from endf/b-viii.0 and jeff-3.3.

Figure 4

The same as Fig. 3 but incident energy only in 1.0–3.0 MeV.

Figure 5

The same as Fig. 3 but for different experimental data [9, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88] as labeled in this figure.

Figure 6

The same as Fig. 3 but incident energy only in 0.5–3.0 MeV for different experimental data [9, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88] as labeled in this figure.

Figure 7

Comparisons of the calculated differential cross sections of the emitted triton for the neutron-induced ${}^6\mathrm{Li}$ reaction with the experimental data [9] and the evaluated data from endf/b-viii.0 and jeff-3.3.

Figure 8

The same as Fig. 7 but for different incident energies as labeled in this figure.

Figure 9

The same as Fig. 7 but for different incident energies as labeled in this figure.

Figure 10

The same as Fig. 7 but for different incident energies as labeled in this figure.

Figure 11

The same as Fig. 7 but for different incident energies as labeled in this figure.

Figure 12

The same as Fig. 7 but for different incident energies as labeled in this figure.

Figure 13

The same as Fig. 7 but for different incident energies as labeled in this figure.

Figure 14

The same as Fig. 7 but for different incident energies as labeled in this figure.

Figure 15

The same as Fig. 7 but for different incident energies and different experimental data [9, 84, 89] as labeled in this figure.

Figure 16

The same as Fig. 7 but for different incident energies and different experimental data [9, 90] as labeled in this figure.

Figure 17

The same as Fig. 7 but for different incident energies and different experimental data [9, 91, 92] as labeled in this figure.

Figure 18

The same as Fig. 7 but for different incident energies and different experimental data [9, 91, 92, 93, 94] as labeled in this figure.

Figure 19

The same as Fig. 7 but for different incident energies and different experimental data [9, 91, 92, 94, 95] as labeled in this figure.

Figure 20

The same as Fig. 7 but for different incident energies and different experimental data [9, 81, 91, 94, 95] as labeled in this figure.

Figure 21

The same as Fig. 7 but for different incident energies and different experimental data [9, 81, 91, 96] as labeled in this figure.

Figure 22

The same as Fig. 7 but for different incident energies and different experimental data [9, 81, 82, 85, 97, 98] as labeled in this figure.

Figure 23

The same as Fig. 7 but for different incident energies and different experimental data [2, 91, 92, 94, 95, 96] as labeled in this figure.

Figure 24

The same as Fig. 7 but for different incident energies and different experimental data [2, 85, 91, 96, 99] as labeled in this figure.

Figure 25

The partial differential cross sections of the emitted triton for the neutron-induced ${}^6\mathrm{Li}$ reaction from the knockout process and heavy-particle knockout process at incident energies of 1.4, 2.4, and 3.0 MeV.

Figure 26

The same as Fig. 7 but for different incident energies and different experimental data [9, 91, 92] as labeled in this figure.

Figure 27

The same as Fig. 7 but for different incident energies and different experimental data [9, 91, 92, 93, 94] as labeled in this figure.

Figure 28

The same as Fig. 7 but for different incident energies and different experimental data [9, 91, 92, 94, 95] as labeled in this figure.

Figure 29

The same as Fig. 7 but for different incident energies and different experimental data [9, 81, 91, 94, 95] as labeled in this figure.