Abstract
Due to the mass effect, muonic molecular ions are about 200 times smaller than their electronic counterparts. The proximity of the nuclei in the td{mu} ion results in fusion taking place within a picosecond. The properties of this ion are central to understanding the phenomenon of muon catalysis. The authors developed a computational method of solving the nonadiabatic Schroedinger equation for the bound and resonance states of td{mu} and its isotopic analogues. The method takes into account both the Coulomb interactions and the strong nuclear forces responsible for the fusion reaction. The wave functions obtained from this method were used to predict very accurately branching ratios and transition rates relevant for various stages of the muon catalytic cycle. Knowledge of these quantities will guide the experiments and help to answer the question of feasibility of net energy production via muon catalysis.
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