dorsal/arxiv
View SchemaThe Zel'dovich effect and evolution of atomic Rydberg spectra along the Periodic Table
| Authors | Eugene B. Kolomeisky, Michael Timmins |
|---|---|
| Categories | |
| ArXiv ID | physics/0504154 |
| URL | https://arxiv.org/abs/physics/0504154 |
| DOI | 10.1103/PhysRevA.72.022721 |
| Journal | Phys. Rev. A 72,022721 (2005) |
Abstract
In 1959 Ya. B. Zel'dovich predicted that the bound-state spectrum of the non-relativistic Coulomb problem distorted at small distances by a short-range potential undergoes a peculiar reconstruction whenever this potential alone supports a low-energy scattering resonance. However documented experimental evidence of this effect has been lacking. Previous theoretical studies of this phenomenon were confined to the regime where the range of the short-ranged potential is much smaller than Bohr's radius of the Coulomb field. We go beyond this limitation by restricting ourselves to highly-excited s states. This allows us to demonstrate that along the Periodic Table of elements the Zel'dovich effect manifests itself as systematic periodic variation of the Rydberg spectra with a period proportional to the cubic root of the atomic number. This dependence, which is supported by analysis of experimental and numerical data, has its origin in the binding properties of the ionic core of the atom.
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"abstract": "In 1959 Ya. B. Zel\u0027dovich predicted that the bound-state spectrum of the\nnon-relativistic Coulomb problem distorted at small distances by a short-range\npotential undergoes a peculiar reconstruction whenever this potential alone\nsupports a low-energy scattering resonance. However documented experimental\nevidence of this effect has been lacking. Previous theoretical studies of this\nphenomenon were confined to the regime where the range of the short-ranged\npotential is much smaller than Bohr\u0027s radius of the Coulomb field. We go beyond\nthis limitation by restricting ourselves to highly-excited s states. This\nallows us to demonstrate that along the Periodic Table of elements the\nZel\u0027dovich effect manifests itself as systematic periodic variation of the\nRydberg spectra with a period proportional to the cubic root of the atomic\nnumber. This dependence, which is supported by analysis of experimental and\nnumerical data, has its origin in the binding properties of the ionic core of\nthe atom.",
"arxiv_id": "physics/0504154",
"authors": [
"Eugene B. Kolomeisky",
"Michael Timmins"
],
"categories": [
"physics.atom-ph",
"cond-mat.other",
"quant-ph"
],
"doi": "10.1103/PhysRevA.72.022721",
"journal_ref": "Phys. Rev. A 72,022721 (2005)",
"title": "The Zel\u0027dovich effect and evolution of atomic Rydberg spectra along the Periodic Table",
"url": "https://arxiv.org/abs/physics/0504154"
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