  We produce the first numerical predictions of the dynamical diquark model of
multiquark exotic hadrons. Using Born-Oppenheimer potentials calculated
numerically on the lattice, we solve coupled and uncoupled systems of
Schroedinger equations to obtain mass eigenvalues for multiplets of states that
are, at this stage, degenerate in spin and isospin. Assuming reasonable values
for these fine-structure splittings, we obtain a series of bands of exotic
states with a common parity eigenvalue that agree well with the experimentally
observed charmoniumlike states, and we predict a number of other unobserved
states. In particular, the most suitable fit to known pentaquark states
predicts states below the charmonium-plus-nucleon threshold. Finally, we
examine the strictest form of Born-Oppenheimer decay selection rules for
exotics and, finding them to fail badly, we propose a resolution by relaxing
the constraint that exotics must occur as heavy-quark spin-symmetry
eigenstates.
