Abstract
Ground-state, radially excited, and exotic scalar, vector, and flavored-pseudoscalar mesons are studied in rainbow-ladder truncation using an interaction kernel that is consonant with modern Dyson-Schwinger equation 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. However, its application does provide information that is potentially useful when working beyond this leading-order truncation, e.g.: assisting with the development of projection techniques that ease the computation of excited-state properties; placing qualitative constraints on the long-range behavior of the interaction kernel; and highlighting and illustrating some features of hadron observables that do not depend on details of the dynamics.
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