Strong pickup-coupling effect on $p+$${}^{10}\mathrm{Be}$ and ${}^{11}\mathrm{Be}$ elastic scattering around $40A$ MeV incident energy

To explore the nature of the coupling effects on $p+$${}^{10}\mathrm{Be}$ and $p+$${}^{11}\mathrm{Be}$ elastic scattering at incident energies of $39.1A$ and at $38.4A$ MeV, respectively, coupled reaction channels (CRC) calculations were performed for the ${}^{10}\mathrm{Be}$$(p,d)$${}^9\mathrm{Be}$ and ${}^{11}\mathrm{Be}$$(p,d)$${}^{10}\mathrm{Be}$${}^{*}$ pickup to the ground state of ${}^9\mathrm{Be}$ and the 5.960 MeV $1^{-}$ and 6.263 MeV $2^{-}$ doublet of excited states in ${}^{10}\mathrm{Be}$ at the corresponding incident energies. We show that within the CRC framework, the coupling effect on the elastic scattering is significant in both cases and produces effective absorption in the entrance channel. This suggests that the use of a fitted $p+$${}^{10}\mathrm{Be}$ optical model potential may lead to too much absorption in the core plus proton interaction in extended coupled discretized continuum channels type of calculations for the $p+$${}^{11}\mathrm{Be}$ system and that coupling to the ${}^{11}\mathrm{Be}$$(p,d)$${}^{10}\mathrm{Be}$${}^{*}$ pickup should be explicitly included in such studies.

Figure 1

Data for ${}^{10}\mathrm{Be}$($p,p$) elastic scattering at $39.1A$ MeV [10] compared with the full CRC calculation (full curve) and the no-coupling calculation (dashed curve).

Figure 2

Data for ${}^{11}\mathrm{Be}$($p,p$) elastic scattering at $38.4A$ MeV [10] compared with the full CRC calculation (full curve) and the no-coupling calculation (dashed curve). Spectroscopic factors were adjusted to fit the ($p,d$) data of Ref. [17].

Figure 3

Data for ${}^{11}\mathrm{Be}$$(p,d)$${}^{10}\mathrm{Be}$${}^{*}$ at $35A$ MeV [17] compared with the CRC calculation with spectroscopic factors adjusted to fit the data assuming that the cross section is dominated by neutron stripping to the $1^{-}$ and $2^{-}{p}_{3/2}$ hole states.

Figure 4

Data for ${}^{11}\mathrm{Be}$($p,p$) elastic scattering at $38.4A$ MeV [10] compared with the full CRC calculation (full curve) and the no-coupling calculation (dashed curve) plotted as ratio to Rutherford with spectroscopic factors adjusted to fit the ($p,d$) data of Ref. [17].