Abstract
Experimental data show that the elastic scattering cross sections of the neutron-rich nucleus $^{11}\mathrm{Be}$ are greatly reduced by the coupling effects from the breakup channels, while those of the proton-rich nucleus $^{8}\mathrm{B}$ are not. Such difference is found to persist in results of systematic calculations of $^{8}\mathrm{B}$ elastic scattering from $^{208}\mathrm{Pb}$ at 60 and 170.3 MeV and from $^{64}\mathrm{Zn}$ at 32 and 86 MeV, and $^{11}\mathrm{Be}$ elastic scattering from $^{208}\mathrm{Pb}$ at 55 and 143 MeV and from $^{64}\mathrm{Zn}$ at 29 and 66 MeV with the continuum-discretized coupled channel (CDCC) method. The Coulomb and centrifugal barriers experienced by the valence proton in the ground state of $^{8}\mathrm{B}$, which do not exist for the valence neutron in the ground state of $^{11}\mathrm{Be}$, are found to be the reason for such differences in the angular distributions of elastic scattering cross sections of these two weakly bound nuclei.
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