Nonrelativistic energies and predissociation widths of quasibound states in the Li$d\mu$ molecular ions

Muonic molecular ions ${}^6$Li${}^{3+}d\mu$ and ${}^7$Li${}^{3+}d\mu$ are studied numerically. Using the complex coordinate rotation method we found six rotational states (three for each isotope), which are resonant states with the life-time of an order of picoseconds. These molecular systems may be of interest for studying low-energy fusion reactions. A key quantity, $\mathrm{\mid }\mathrm{\Psi }(0){\mathrm{\mid }}^2$, the wave function squared at the coalescence point of the nuclei is calculated for $S$ states for both isotopes with a precision better than 3%.