Title A trial wave function to study of the structure of the molecular ddlμ ion Type Article Keywords numerical, trial wave function, muonic molecule, energies, formation rates, resonant Abstract This paper provides a new effort to study of the ddμ structure. The present work is numerically performed using a new trial wave function to the ddμ system in configuration of coupled channels. The present results of energies are more accurate than those of our previous work. The obtained results of formation rates are close to results published by Yu.V. Petrov et al. and giving strong indications that the trial wave function is good enough in determining the resonance states of the mentioned ionic molecule. Researchers Rouhollah (Kouroush) Gheisari (First researcher)