Global phenomenological optical model potential for the ${}^7\mathrm{Li}$ projectile nucleus

A new global phenomenological optical model potential for the ${}^7\mathrm{Li}$ projectile is derived from the available experimental data of elastic-scattering angular distributions and reaction cross sections from ${}^{27}\mathrm{Al}$ to ${}^{208}\mathrm{Pb}$ with incident energies below 200 MeV. It is based on a smooth, unique functional form for the energy dependence of the potential depths, and physically constrained geometry parameters. The elastic-scattering angular distributions and reaction cross sections for other targets are also predicted by the obtained ${}^7\mathrm{Li}$ global phenomenological optical model potential at different incident energies. These results are further compared with the corresponding experimental data. The performance shows that the ${}^7\mathrm{Li}$ global phenomenological optical model potential can give a satisfactory description for ${}^7\mathrm{Li}$ elastic scattering.

Figure 1

The radial dependence of our global OMP at incident energies of 20, 100, 150, 200, 250, and 300 MeV for ${}^{58}\mathrm{Ni}$. (a) the real part; (b) the imaginary part.

Figure 2

Comparison between volume integrals of per nucleon for ${}^{58}\mathrm{Ni}$ target calculated by using the ${}^7\mathrm{Li}$ global OMP (solid curve) (a) the real part $J_V$; (b) the imaginary part $J_W$.

Figure 3

Calculated elastic-scattering angular distributions in the Rutherford ratio compared with the experimental data [19, 21, 25, 40, 41, 42] at incident ${}^7\mathrm{Li}$ energies 34.0 MeV.

Figure 4

Same as Fig. 3, but for 52.0 MeV [33, 34, 39].

Figure 5

Same as Fig. 3, but for 88.7 MeV [20].

Figure 6

Calculated elastic-scattering angular distributions in the Rutherford ratio compared with the experimental data [13, 14] for ${}^{27}\mathrm{Al}$.

Figure 7

Same as Fig. 6, but for ${}^{28}\mathrm{Si}$ [15, 16, 17, 18].

Figure 8

Same as Fig. 6, but for ${}^{54}\mathrm{Fe}$ [21].

Figure 9

Same as Fig. 6, but for ${}^{58}\mathrm{Ni}$ [21, 22, 23, 24].

Figure 10

Same as Fig. 6, but for ${}^{80}\mathrm{Se}$ [5].

Figure 11

Same as Fig. 6, but for ${}^{65}\mathrm{Cu}$ and ${}^{89}\mathrm{Y}$ [26, 27].

Figure 12

Same as Fig. 6, but for ${}^{116}\mathrm{Sn}$ and ${}^{120}\mathrm{Sn}$ [28, 29, 30, 31].

Figure 13

Same as Fig. 6, but for ${}^{138}\mathrm{Ba}$ [32].

Figure 14

Same as Fig. 6, but for ${}^{144}\mathrm{Sm}$ [35].

Figure 15

Same as Fig. 6, but for ${}^{208}\mathrm{Pb}$ [36, 37, 38].

Figure 16

Calculated elastic-scattering angular distributions in the Rutherford ratio at the same incident angle compared with the experimental data for ${}^{27}\mathrm{Al}$ [45, 46, 47, 48, 49].

Figure 17

Same as Fig. 16, but for other incident angles [49].

Figure 18

Same as Fig. 16, but for ${}^{28}\mathrm{Si}$ and ${}^{48}\mathrm{Ti}$ [45, 47, 48].

Figure 19

Comparison between the optical model calculation and experimental data [14, 50, 51, 52, 53, 54] of ${}^7\mathrm{Li}$ reaction cross sections for ${}^{27}\mathrm{Al}$ and ${}^{28}\mathrm{Si}$.

Figure 20

Same as Fig. 19, but for ${}^{\mathrm{nat}.}\mathrm{Cu}$ and ${}^{64}\mathrm{Zn}$ [55, 56].

Figure 21

Same as Fig. 19, but for ${}^{116}\mathrm{Sn}$ [28].

Figure 22

Same as Fig. 19, but for ${}^{138}\mathrm{Ba}$ [32].

Figure 23

Same as Fig. 19, but for ${}^{208}\mathrm{Pb}$ [37, 57].

Figure 24

Comparison between the optical model prediction and experimental data [58, 59] of ${}^7\mathrm{Li}$ elastic-scattering angular distributions for ${}^9\mathrm{Be}$.

Figure 25

Same as Fig. 24, but for ${}^{12}\mathrm{C}$ [17, 41, 60, 61, 62, 63, 64].

Figure 26

Same as Fig. 24, but for ${}^{16}\mathrm{O}$ [17, 65, 66, 67].

Figure 27

Same as Fig. 24, but for ${}^{232}\mathrm{Th}$ [68].

Figure 28

Comparison between the optical model prediction and experimental data [58] of ${}^7\mathrm{Li}$ reaction cross sections for ${}^{13}\mathrm{C}$.