  We investigate the breakup of the one-neutron halo nuclei 11Be and 19C within
a dynamical model of the continuum excitation of the projectile. The time
evolution of the projectile in coordinate space is described by solving the
three-dimensional time dependent Schroedinger equation, treating the
projectile-target (both Coulomb and nuclear) interaction as a time dependent
external perturbation. The pure Coulomb breakup dominates the relative energy
spectra of the fragments in the peak region, while the nuclear breakup is
important at higher relative energies. The coherent sum of the two
contributions provides a good overall description of the experimental spectra.
Cross sections of the first order perturbation theory are derived as a limit of
our dynamical model. The dynamical effects are found to be of the order of
10-15% for the beam energies in the range of 60 - 80 MeV/nucleon. A comparison
of our results with those of a post form distorted wave Born approximation
shows that the magnitudes of the higher order effects are dependent on the
theoretical model.
