The resonant breakup of ${}^{19}\mathrm{C}$ on a proton target at 70 MeV/nucleon is analyzed using Faddeev–Alt, Grassberger, Sandhas (Faddeev-AGS) and continuum-discretized coupled-channels (CDCC) reaction frameworks, where in both cases a three-body model (${}^{18}$$\text{C}+n+p$) for the reaction is considered. Taking a ${}^{18}\mathrm{C}$ $+$ $p$ potential from a global nucleon-nucleus parametrization and a $L$-independent Gaussian proton-neutron potential, both methods provide very similar results for the calculated observables. However, when this simplified proton-neutron potential is replaced by the more realistic CD-Bonn potential, the breakup cross section, calculated with the Faddeev AGS formalism, decreases by almost one order of magnitude, largely underestimating the experimental data. From this calculation, we conclude that, within a core $+$ valence neutron model, the single-particle mechanism gives a negligible contribution to the calculated resonant breakup and therefore core-excitation mechanisms should be taken into account.

• Received 7 February 2011

DOI:https://doi.org/10.1103/PhysRevC.83.054613