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arXiv · 2509.06249

Oganesson versus Uranium Hydrogen-like Ions and Beyond (from the Viewpoint of Old Quantum Mechanics)

Kamal Barley·Andreas Ruffing·Sergei K. Suslov
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Abstract

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.

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Kamal Barley, Andreas Ruffing, Sergei K. Suslov. 2025-09-08. Oganesson versus Uranium Hydrogen-like Ions and Beyond (from the Viewpoint of Old Quantum Mechanics). https://arxiv.org/abs/2509.06249

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