Nuclear breakup of ${}^8\mathrm{B}$ in a direct fragmentation model

We calculate the cross sections of the elastic and inelastic breakup modes for the inclusive breakup reaction ${}^{28}\mathrm{Si}{(}^8\mathrm{B}{,}^7\mathrm{Be})$ at beam energies between 10 and 40 MeV/nucleon within a direct fragmentation model formulated in the framework of the post-form distorted-wave Born approximation. In contrast to the case of the stable isotopes, the inelastic breakup mode is found to contribute only up to $30\%$ to the total breakup cross section, which is in agreement with the recently measured experimental data. However, the high energy tail of the energy spectra of ${}^7\mathrm{Be}$ fragments is dominated by the inelastic breakup mode. The breakup amplitude is found to be dominated by contributions from distances well beyond the nuclear surface.