dorsal/arxiv
View SchemaCalculation of the Electron Self Energy for Low Nuclear Charge
| Authors | U. D. Jentschura, P. J. Mohr, G. Soff |
|---|---|
| Categories | |
| ArXiv ID | physics/0001068 |
| URL | https://arxiv.org/abs/physics/0001068 |
| DOI | 10.1103/PhysRevLett.82.53 |
| Journal | Phys.Rev.Lett.82:53,1999 |
Abstract
We present a nonperturbative numerical evaluation of the one-photon electron self energy for hydrogenlike ions with low nuclear charge numbers Z=1 to 5. Our calculation for the 1S state has a numerical uncertainty of 0.8 Hz for hydrogen and 13 Hz for singly-ionized helium. Resummation and convergence acceleration techniques that reduce the computer time by about three orders of magnitude were employed in the calculation. The numerical results are compared to results based on known terms in the expansion of the self energy in powers of (Z alpha).
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"abstract": "We present a nonperturbative numerical evaluation of the one-photon electron\nself energy for hydrogenlike ions with low nuclear charge numbers Z=1 to 5. Our\ncalculation for the 1S state has a numerical uncertainty of 0.8 Hz for hydrogen\nand 13 Hz for singly-ionized helium. Resummation and convergence acceleration\ntechniques that reduce the computer time by about three orders of magnitude\nwere employed in the calculation. The numerical results are compared to results\nbased on known terms in the expansion of the self energy in powers of (Z\nalpha).",
"arxiv_id": "physics/0001068",
"authors": [
"U. D. Jentschura",
"P. J. Mohr",
"G. Soff"
],
"categories": [
"physics.atom-ph",
"hep-ph"
],
"doi": "10.1103/PhysRevLett.82.53",
"journal_ref": "Phys.Rev.Lett.82:53,1999",
"title": "Calculation of the Electron Self Energy for Low Nuclear Charge",
"url": "https://arxiv.org/abs/physics/0001068"
},
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