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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Online-Zugang: | https://arxiv.org/abs/2509.06249 |
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| _version_ | 1866908554066132992 |
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| author | Barley, Kamal Ruffing, Andreas Suslov, Sergei K. |
| author_facet | Barley, Kamal Ruffing, Andreas Suslov, Sergei K. |
| contents | We compare, within the framework of the old Bohr-Sommerfeld atomic model, Uranium (Z=92) versus hypothetical Oganesson (Z=118) relativistic hydrogen-like ions and beyond. Existence of a self-intersecting orbit in the super strong static Coulomb field is demonstrated with the aid of Mathematica computer algebra system. A possibility of a similar 'Oganesson-type' effect in a strong gravitational field is also mentioned. Appearance of a multi self-intersecting trajectory is demonstrated in a hypothetical Unbibium, an element with Z = 122, and beyond with Z< 136. A topological classification of the strength for Coulomb fields in the superheavy transuranium elements may be given in terms of the 'winding' numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_06249 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Oganesson versus Uranium Hydrogen-like Ions and Beyond (from the Viewpoint of Old Quantum Mechanics) Barley, Kamal Ruffing, Andreas Suslov, Sergei K. Quantum Physics We compare, within the framework of the old Bohr-Sommerfeld atomic model, Uranium (Z=92) versus hypothetical Oganesson (Z=118) relativistic hydrogen-like ions and beyond. Existence of a self-intersecting orbit in the super strong static Coulomb field is demonstrated with the aid of Mathematica computer algebra system. A possibility of a similar 'Oganesson-type' effect in a strong gravitational field is also mentioned. Appearance of a multi self-intersecting trajectory is demonstrated in a hypothetical Unbibium, an element with Z = 122, and beyond with Z< 136. A topological classification of the strength for Coulomb fields in the superheavy transuranium elements may be given in terms of the 'winding' numbers. |
| title | Oganesson versus Uranium Hydrogen-like Ions and Beyond (from the Viewpoint of Old Quantum Mechanics) |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2509.06249 |