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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Online-Zugang: | https://arxiv.org/abs/2503.17389 |
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| _version_ | 1866915209058189312 |
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| author | Frolov, Alexei M. |
| author_facet | Frolov, Alexei M. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_17389 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | 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 Frolov, Alexei M. Atomic Physics 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. |
| title | 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 |
| topic | Atomic Physics |
| url | https://arxiv.org/abs/2503.17389 |