dorsal/arxiv
View SchemaBethe logarithms for the 1 singlet S, 2 singlet S and 2 triplet S states of helium and helium-like ions
| Authors | Jonathan D. Baker, Robert C. Forrey, Malgorzata Jeziorska, John D. Morgan III |
|---|---|
| Categories | |
| ArXiv ID | physics/0002005 |
| URL | https://arxiv.org/abs/physics/0002005 |
Abstract
We have computed the Bethe logarithms for the 1 singlet S, 2 singlet S and 2 triplet S states of the helium atom to about seven figure-accuracy using a generalization of a method first developed by Charles Schwartz. We have also calculated the Bethe logarithms for the helium-like ions of Li, Be, O and S for all three states to study the 1/Z behavior of the results. The Bethe logarithm of H minus was also calculated with somewhat less accuracy. The use of our Bethe logarithms for the excited states of neutral helium, instead of those from Goldman and Drake's first-order 1/Z-expansion, reduces by several orders of magnitude the discrepancies between the theoretically calculated and experimentally measured ionization potentials of these states.
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"abstract": "We have computed the Bethe logarithms for the 1 singlet S, 2 singlet S and 2\ntriplet S states of the helium atom to about seven figure-accuracy using a\ngeneralization of a method first developed by Charles Schwartz. We have also\ncalculated the Bethe logarithms for the helium-like ions of Li, Be, O and S for\nall three states to study the 1/Z behavior of the results. The Bethe logarithm\nof H minus was also calculated with somewhat less accuracy. The use of our\nBethe logarithms for the excited states of neutral helium, instead of those\nfrom Goldman and Drake\u0027s first-order 1/Z-expansion, reduces by several orders\nof magnitude the discrepancies between the theoretically calculated and\nexperimentally measured ionization potentials of these states.",
"arxiv_id": "physics/0002005",
"authors": [
"Jonathan D. Baker",
"Robert C. Forrey",
"Malgorzata Jeziorska",
"John D. Morgan III"
],
"categories": [
"physics.atom-ph"
],
"title": "Bethe logarithms for the 1 singlet S, 2 singlet S and 2 triplet S states of helium and helium-like ions",
"url": "https://arxiv.org/abs/physics/0002005"
},
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