Systematic analysis of nucleon scattering from ${}^{6,7}$Li with the continuum discretized coupled channels method

Nucleon scattering from ${}^{6,7}$Li is analyzed systematically over a wide range of incident energies up to 150 MeV with the continuum discretized coupled channels method (CDCC) capable of treating the breakup of ${}^{6,7}$Li. The continuum states of ${}^{6,7}$Li are discretized with the pseudostate method. Diagonal and coupling potentials in the CDCC equation are obtained by folding the complex Jeukenne-Lejeune-Mahaux effective nucleon-nucleon interaction with transition densities between corresponding bound and discretized continuum states of ${}^{6,7}$Li. The normalization factors of the complex effective interaction are determined so as to reproduce experimental data on neutron total and proton reaction cross sections for ${}^{6,7}$Li. CDCC calculations with the normalization factors reproduce experimental differential cross sections for nucleon elastic and inelastic scattering from ${}^{6,7}$Li well.

Figure 1

Eigenenergies of the bound and discretized states of ${}^{6,7}$Li for each $(l,I)$ with truncation energy of 10.5 MeV.

Figure 2

Comparison of the calculated total cross section for $n$ + ${}^6$Li reaction with experimental data [29]. The solid and dashed lines denote the CDCC result with the normalization factors ${\lambda }_V$ and ${\lambda }_W$ determined in this work and that with ${\lambda }_V=1$ and ${\lambda }_W=0.1$, respectively.

Figure 3

Comparison of the calculated result (solid line) of reaction cross section for $p$ + ${}^6$Li reaction with experimental data [23, 24, 25, 26, 27]. The solid squares and circles denote the experimental data on $p$ + ${}^6$Li reaction and the scaled experimental data transformed from $p$ + ${}^9$Be reaction.

Figure 4

Same as Fig. 2 but for $n$ + ${}^7$Li reaction.

Figure 5

Same as Fig. 3 but for $p$ + ${}^7$Li reaction.

Figure 6

Comparison of the calculated angular distributions (solid lines) of proton elastic scattering from ${}^6$Li with experimental data [30, 31, 32, 33, 34, 35]. The solid and dashed lines denote the CDCC results and the results of the single elastic-channel calculation, respectively. The data are shifted downward by factors of 10${}^0$, 10${}^{-1}$, 10${}^{-2}$, and so on.

Figure 7

Comparison of the calculated angular distributions (solid lines) of neutron elastic scattering from ${}^6$Li with experimental data [36, 37, 38, 39, 40, 41]. The data are shifted downward by factors of 10${}^0$, 10${}^{-1}$, 10${}^{-2}$, and so on.

Figure 8

Comparison of the calculated angular distributions (solid lines) of proton elastic scattering from ${}^7$Li with experimental data [32, 33, 34, 42]. The data are shifted downward by factors of 10${}^0$, 10${}^{-1}$, 10${}^{-2}$, and so on.

Figure 9

Comparison of calculated angular distributions of proton elastic scattering from ${}^7$Li with different couplings and experimental data. The solid lines denote the present calculated results with full CDCC. The dotted lines denote the coupled-channel calculation with the coupling only between the elastic and the first-excited channels. The dashed lines denote the results of the single elastic-channel calculation. The data are shifted downward by factors of 10${}^0$, 10${}^{-1}$, and 10${}^{-2}$.

Figure 10

Comparison of the calculated results (solid lines) of the summation of differential cross sections for neutron elastic and inelastic (the first 1/2${}^{-}$) scattering from ${}^7$Li with experimental data [39, 43]. The data are shifted downward by factors of 10${}^0$, 10${}^{-1}$, 10${}^{-2}$, and so on.

Figure 11

Comparison of the calculated angular distributions of nucleon elastic scattering from ${}^{6,7}$Li with and without the compound elastic scattering contribution. The solid and dashed lines denote the calculated results with and without the compound elastic contribution, respectively. The data are shifted downward by factors of 10${}^0$, 10${}^{-1}$, 10${}^{-2}$, and 10${}^{-3}$.

Figure 12

Comparison of the calculated angular distribution (solid lines) of the proton inelastic scattering to the first-excited state (3${}^{+}$) of ${}^6$Li with experimental data [44, 45]. The data are shifted downward by factors of 10${}^0$, 10${}^{-1}$, 10${}^{-2}$, and so on.

Figure 13

Same as Fig. 12 but to the first-excited state (1/2${}^{-}$) of ${}^7$Li.

Figure 14

Comparison of the calculated angular distribution (solid lines) of the neutron inelastic scattering to the first-excited state (3${}^{+}$) of ${}^6$Li with experimental data [37, 38, 39, 45]. The data are shifted downward by factors of 10${}^0$, 10${}^{-1}$, 10${}^{-2}$, and so on.

Figure 15

Same as Fig. 14 but to the second-excited state (7/2${}^{-}$) of ${}^7$Li.