  Ground-state, radially-excited and exotic scalar-, vector- and
flavoured-pseudoscalar-mesons are studied in rainbow-ladder truncation using an
interaction kernel that is consonant with modern DSE- and lattice-QCD results.
The inability of this truncation to provide realistic predictions for the
masses of excited- and exotic-states is confirmed and explained. On the other
hand, its application does provide information that is potentially useful in
proceeding beyond this leading-order truncation, e.g.: assisting with
development of projection techniques that ease the computation of excited state
properties; placing qualitative constraints on the long-range behaviour of the
interaction kernel; and highlighting and illustrating some features of hadron
observables that do not depend on details of the dynamics.
