Bound and resonant states of muonic molecules below then=2level of muonic atoms

We calculate, by a variational procedure, the bound-state energies of the even-parity muonic molecules with total angular momentum J=1 and the energies of the (ddμ${)}^{+}$ and (dtμ${)}^{+}$ resonant states below the n=2 energy level of muonic atoms. We have found 11 resonant states with J=0 and 12 with J=1 for (ddμ${)}^{+}$ and 9 states with J=0 and 10 with J=1 for (dtμ${)}^{+}$. Some of the resonant energies, relative to the n=2 level of the muonic atoms, are less than the dissociation energy of ${\mathrm{D}}_2$, and therefore these states may play some role in muon-catalyzed fusion.