Core excitation contributions to the breakup of the one-neutron halo nucleusBe11on a proton

Abstract

The effect of the core excitation in the breakup of a one-neutron halo nucleus is studied within two different reaction formalisms, namely, the core excited model and the single-scattering approximation of the three-body Faddeev--Alt-Grassberger-Sandhas equations with target-core potential allowing for the core excitation. As an example, we consider the breakup of $^{11}\mathrm{Be}$ on a proton target at 63.7 MeV/nucleon incident energy and calculate the semi-inclusive cross section in the excitation energy interval ${E}_{x}=3.0$--5.5 MeV (${E}_{\mathrm{rel}}=2.5$--5 MeV) containing the $3/{2}^{+}$ resonance with dominant contribution of the $^{10}\mathrm{Be}$(${2}^{+}$) core excited state. The effect of the core excitation to the breakup cross section integrated around this resonance is found to be very significant. Moreover, when resonant and nonresonant contributions are added, the resulting semi-inclusive cross section is in reasonable agreement with the existing data, demonstrating the relevance of the core excitation mechanism for this observable. The present calculations also show the importance of incorporating the energy dependence of the core-target transition operators in the reaction formalism.