Global optical model potential for the weakly bound projectile ${}^9\mathrm{Be}$

The global optical model potential for the ${}^9\mathrm{Be}$ projectile is developed by systematically studying the experimental data of elastic-scattering angular distributions and reaction cross sections from ${}^{24}\mathrm{Mg}$ to ${}^{209}\mathrm{Bi}$ below 100 MeV. The analysis is performed in terms of comparing the theoretical results with the available experimental data. A satisfactory agreement is observed in the whole energy and target mass regions. Moreover, the elastic-scattering angular distributions and reaction cross sections of ${}^9\mathrm{Be}$ on some lighter targets are also predicted using the global optical model potential and a reasonable description of the experimental data is obtained.

Figure 1

The radial dependence of our global OMP at different incident energies for ${}^{58}\mathrm{Ni}$. (a) the real part; (b) the imaginary part.

Figure 2

Comparison between the optical model calculation and the experimental data [5] of ${}^9\mathrm{Be}$ elastic-scattering angular distributions for ${}^{24}\mathrm{Mg}$.

Figure 3

The same as Fig. 2, but for ${}^{27}\mathrm{Al}$ [5, 6].

Figure 4

The same as Fig. 2, but for ${}^{28}\mathrm{Si}$ [7, 8, 9, 10].

Figure 5

The same as Fig. 2, but for ${}^{40}\mathrm{Ca}$ [5, 9, 10].

Figure 6

The same as Fig. 2, but for ${}^{64}\mathrm{Zn}$ [11, 12, 13].

Figure 7

The same as Fig. 2, but for ${}^{89}\mathrm{Y}$ [14].

Figure 8

The same as Fig. 2, but for ${}^{144}\mathrm{Sm}$ [15, 16].

Figure 9

The same as Fig. 2, but for ${}^{208}\mathrm{Pb}$ [17].

Figure 10

The same as Fig. 2, but for ${}^{208}\mathrm{Pb}$ [18].

Figure 11

The same as Fig. 2, but for ${}^{209}\mathrm{Bi}$ [18, 19].

Figure 12

The same as Fig. 2, but for ${}^{58}\mathrm{Ni}$ and ${}^{\mathrm{nat}}\mathrm{Ag}$ [5].

Figure 13

Comparison between the optical model calculation and experimental data [20, 21] of the ${}^9\mathrm{Be}$ reaction cross sections for ${}^{27}\mathrm{Al}$.

Figure 14

The same as Fig. 13, but for ${}^{28}\mathrm{Si}$ [7, 22, 23].

Figure 15

The same as Fig. 13, but for ${}^{63,65}\mathrm{Cu}$ [24].

Figure 16

The same as Fig. 13, but for ${}^{64}\mathrm{Zn}$ [12, 13].

Figure 17

The same as Fig. 13, but for ${}^{89}\mathrm{Y}$ [25].

Figure 18

The same as Fig. 13, but for ${}^{144}\mathrm{Sm}$ [15, 16].

Figure 19

Comparison of total reaction cross sections for different projectiles on medium mass target ${}^{89}\mathrm{Y}$.

Figure 20

Comparison between the optical model prediction and experimental data [37, 38, 39] of ${}^9\mathrm{Be}$ elastic-scattering angular distributions for ${}^{12}\mathrm{C}$.

Figure 21

The same as Fig. 19, but for ${}^9\mathrm{Be}, {}^{13}\mathrm{C}$, and ${}^{16}\mathrm{O}$ [38, 40].

Figure 22

Comparison between the optical model prediction and experimental data [44] of ${}^9\mathrm{Be}$ reaction cross sections for ${}^9\mathrm{Be}$.

Figure 23

The same as Fig. 22, but for ${}^{12}\mathrm{C}$ [45, 46].

Figure 24

The same as Fig. 22, but for ${}^{13}\mathrm{C}$ [47].