Title Nuclear Fusion Rate for ddmu Muonic Molecule Type Article Keywords variational, new wave function, muonic mass-symmetric molecular ion, nuclear fusion rate, eigenvalue Abstract A variational approach using a new wave function to ddmu muonic molecular ion is proposed. This approach requires four terms in the total three-body wave function. The formation and fusion take place by the reason of the existence of the both Coulomb potential and nuclear absorption. The nuclear fusion rates and eigenvalues related to such levels below dmu(1s) + d threshold are calculated with a good accuracy and a short computation time. Researchers Rouhollah (Kouroush) Gheisari (First researcher) , Abolghasem Avazpour (Second researcher)