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arXiv · 2503.17389

Properties of the weakly-bound (1,1)-states and rotationally excited (2,0)-states in the muonic molecular $d d μ, d t μ$ and $t t μ$ ions

Alexei M. Frolov
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Abstract

Total energies and other bound state properties of the weakly-bound (1,1)-states and rotationally excited (2,0)-states in the three-body muonic molecular $d d μ, d t μ$ and $t t μ$ ions are determined to high numerical accuracy and investigated. Our current numerical accuracy achieved for the total and binding energies of the weakly-bound (1,1)-states in the both $d d μ$ and $d t μ$ ions significantly exceeds similar accuracy obtained in earlier computations of these weakly-bound states in these two ions. The bound state properties of the weakly-bound (1,1)-states and (2,0)-states in the $d d μ, d t μ$ and $t t μ$ muonic ions have never been determined to high accuracy in earlier studies. We also briefly discuss the current status of muon-catalyzed nuclear fusion and develop the new universal variational expansion which can be used for extremely accurate bound state calculations of arbitrary three-body systems, including the truly adiabatic ${}^{\infty}$H$^{+}_{2}$ ion and close systems.

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Alexei M. Frolov. 2025-03-17. Properties of the weakly-bound (1,1)-states and rotationally excited (2,0)-states in the muonic molecular $d d μ, d t μ$ and $t t μ$ ions. https://arxiv.org/abs/2503.17389

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