Abstract
The cross section for $p{\ensuremath{-}}^{11}\mathrm{Li}$ inelastic scattering at 68 MeV/nucleon is evaluated using the multiple scattering expansion of the total transition amplitude (MST) formalism, and compared with the breakup in the shakeoff approximation. Three different potential models for ${}^{11}\mathrm{Li}$ are used to calculate the ${}^{11}\mathrm{Li}{(p,p}^{\ensuremath{'}})$ continuum excitations, and all show peaks below 3 MeV of excitation energy, both in resonant and some nonresonant channels. In the most realistic model of ${}^{11}\mathrm{Li},$ there is a strong dipole contribution associated with attractive but not a fully-fledged resonant phase shifts, and some evidence for a ${J}_{\mathrm{nn}}^{\ensuremath{\pi}}{=0}_{2}^{+}$ resonant contribution. These together form a pronounced peak at around 1--2 MeV excitation, in agreement with experiment, and this supports the use of the MST as an adequate formalism to study excited modes of two-neutron nuclear halos.
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