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(dtμ)=−0.66033003831(30)eV, while for the same state in the muonic ddμ ion we have found that ε(ddμ)=−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.