On the weakly-bound (1,1)-states in the three-body ddμ and dtμ muonic ions.

Abstract The both total and binding energies of the (1 , 1) -states in the weakly-bound three-body muonic ddμ and dtμ ions are determined to high numerical accuracy. The binding energy of the (1 , 1) -state in the muonic dtμ ion is evaluated as ε (d t μ) = − 0.66033003831 (30) eV , while for the same state in the muonic ddμ ion we have found that ε (d d μ) = − 1.9749806166970 (30) eV. These energies are the most accurate numerical values obtained for these systems and they are sufficient for all current and future experimental needs. Highlights • The total and binding energies of the weakly-bound (1 , 1) -states in the ddμ and dtμ ions are determined to high accuracy. • Numerical calculations have been performed by using three different sets of particle masses. • Results of our calculations provide a theoretical and computational basis for all current and future experimental needs. • We discuss a possibility for a resurgence of interest to the resonance muon-catalized fusion of nuclear reactions. [ABSTRACT FROM AUTHOR]