Low energy scattering cross sections for $n+{}^{6,7}\mathrm{Li}$ reactions using the continuum-discretized coupled-channels method

We study the integrated elastic and inelastic scattering cross sections together with their angular distributions of $n+{}^{6,7}\mathrm{Li}$ using $n+$ $\left(\alpha +d\right)$ and $n+$ $\left(\alpha +t\right)$ cluster models, respectively, and the continuum-discretized coupled-channel framework. The microscopic single-folding potential is used for the neutron energies from 1 to 24 MeV. The calculated elastic and inelastic scattering cross sections are in good agreement with experimental and evaluated data for the observed incident energies.

Figure 1

The discretized eigenstates of ${}^6\mathrm{Li}$. Each panel indicated as ${}^1\mathrm{S}{,}^{1}D{,}^{2}D$, and ${}^3\mathrm{D}$, from left to right sides.

Figure 2

The discretized eigenstates of ${}^7\mathrm{Li}$. Each panel indicated as ${}^3\mathrm{P}{,}^{1}P{,}^{7}F$, and ${}^5\mathrm{F}$, from left to right sides.

Figure 3

The integrated elastic cross sections of the $n+{}^6\mathrm{Li}$ scattering, in comparison with the evaluated data [14] and experimental data [15, 16, 17, 18, 19, 20, 21, 22, 23].

Figure 4

The integrated inelastic $n+{}^6\mathrm{Li}$ scattering cross sections for the excited $3^{+}$ state at the excitation energy of 2.18 MeV of ${}^6\mathrm{Li}$ in comparison with the evaluated data [14] and experimental data [15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25].

Figure 5

Elastic angular distribution of the $n+{}^6\mathrm{Li}$ scattering for incident energies between 4.0 and 24.0 MeV. The solid lines and open circles correspond to the calculated results and experimental data [15, 16, 23, 25, 26, 27, 28], respectively. The data are subsequently shifted downward by a factor of ${10}^{-1}-{10}^{-7}$ from 5.96 to 24.0 MeV.

Figure 6

Angular distributions of the $n+{}^6\mathrm{Li}$ inelastic scattering for the excited $3^{+}$ state at the excitation energy of 2.18 MeV of ${}^6\mathrm{Li}$. The solid lines and open circles correspond to the calculated results and experimental data [15, 23, 25, 27, 28, 29], respectively. The data are subsequently shifted downward by a factor of ${10}^{-1}-{10}^{-6}$ from 8.17 to 24.0 MeV.

Figure 7

The integrated elastic $n+{}^7\mathrm{Li}$ scattering cross sections, in comparison with the evaluated data [14, 30] and experimental data [15, 16, 20, 21, 22, 23, 27, 29].

Figure 8

The integrated inelastic $n+{}^7\mathrm{Li}$ scattering cross sections for the excited $1/2^{-}$ state at the excitation energy 478 keV of ${}^7\mathrm{Li}$ with experimental data [8].

Figure 9

The integrated inelastic $n+{}^7\mathrm{Li}$ scattering cross sections for the excited $7/2^{-}$ state at the excitation energy of 4.65 MeV of ${}^7\mathrm{Li}$, in comparison with the evaluated data [14, 30] and experimental data [15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 27, 29].

Figure 10

Elastic angular distribution of the $n+{}^7\mathrm{Li}$ scattering for incident energies between 2.3 and 24.0 MeV. The solid lines and open circles correspond to the calculated results and experimental data [15, 23, 27, 28, 29], respectively. The data are subsequently shifted downward by a factor of ${10}^{-1}-{10}^{-6}$ from 4.0 to 24.0 MeV.

Figure 11

Angular distributions of the $n+{}^7\mathrm{Li}$ inelastic scattering for the excited $7/2^{-}$ state at the excitation energy of 4.65 MeV of ${}^7\mathrm{Li}$. The solid lines and open circles correspond to the calculated results and experimental data [15, 23, 27, 28], respectively. The data are subsequently shifted downward by a factor of ${10}^{-1}-{10}^{-4}$ from 10.27 to 24.0 MeV.