CDCC analysis of breakup reactions of $^{11}$Be on $^{208}$Pb

$^{11}$Be is a typical example of one-neutron halo nuclei, where the valence neutron has a large spatial extension with respect to the core nucleus. In the present work, we analyze breakup reactions of $^{11}$Be on $^{208}$Pb at energies around 70 MeV/nucleon with the method of continuum-discretized coupled-channels (CDCC). As the internal state of $^{11}$Be, we take s-, p-wave states including the ground $1/2^+$ state and the first excited $1/2^-$ state and breakup continuum states. In the CDCC calculation, effects of the Coulomb excitation to the first excited $1/2^-$ state on the breakup cross section is investigated. The effects are expected to be significant in Coulomb breakup processes. Also, we discuss effects of the nuclear interaction on the breakup processes.