Summary

Abstract(#br)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 ) <mml:mspace width="0.25em"/> eV , while for the same state in the muonic ddμ ion we have found that ε ( d d μ ) = ? 1.9749806166970 ( 30 ) <mml:mspace width="0.25em"/> eV . These energies are the most accurate numerical values obtained for these systems and they are sufficient for all current and future experimental needs.

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