  Core-excitation effects in the scattering of two-body halo nuclei have been
investigated in previous works. In particular, these effects have been found to
affect in a significant way the breakup cross sections of neutron-halo nuclei
with a deformed core. To account for these effects, appropriate extensions of
the continuum-discretized coupled-channels (CDCC) method have been recently
proposed. We aim to extend these studies to the case of breakup reactions
measured under complete kinematics or semi-inclusive reactions in which only
the angular or energy distribution of one of the outgoing fragments is
measured. We use the standard CDCC method as well as its extended version with
core excitations (XCDCC), assuming a pseudo-state basis for describing the
projectile states. Two- and three-body observables are computed by projecting
the discrete two-body breakup amplitudes, obtained within these reaction
frameworks, onto two-body scattering states with definite relative momentum of
the outgoing fragments and a definite state of the core nucleus. The presented
method provides a tool to compute double and triple differential cross sections
for outgoing fragments following the breakup of a two-body projectile, and
might be useful to analyze breakup reactions with other deformed weakly-bound
nuclei, for which core excitations are expected to play a role. We have found
that, while dynamical core excitations are important for the proton target at
intermediate energies, they are very small for the Zn target at energies around
the Coulomb barrier.
