| Автор | I B Khriplovich |
| Автор | A I Milstein |
| Автор | A S Yelkhovsky |
| Дата выпуска | 1993-01-01 |
| dc.description | The logarithmic part of the Lamb shift, the contribution of the relative order α<sup>3</sup> log (1/α) to the atomic state energy, is related to the usual infrared divergence. This fact allows one to calculate easily such corrections in positronium, and derive the recoil and electron-electron terms in the Lambshift Hamiltonian in many-electron atoms. Logarithmic energy corrections of the next order, α<sup>4</sup> log (1/α), are of a different, relativistic nature. Their calculation is reduced to the ordinary perturbation theory for the nonrelativistic Schrödinger equation. The perturbation operators have the Breit-type structure and are found by the calculation of on-mass-shell diagrams. For positronium, the calculated log-arithmic correction survives only in n<sup>3</sup>S<sub>1</sub> states and constitutes (5/24)mα<sup>6</sup> log (1/α)/n<sup>3</sup>. Logarithmic corrections of the relative order α<sup>2</sup> log (1/α) to the positronium decay rate are also of the relativistic origin and can be easily computed within the same approach. Arguments are presented in favour of a large numerical factor in the (α/π)<sup>2</sup> correction to the positronium decay rate. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Logarithmic corrections in the two-body QED problem |
| Тип | paper |
| DOI | 10.1088/0031-8949/1993/T46/040 |
| Electronic ISSN | 1402-4896 |
| Print ISSN | 0031-8949 |
| Журнал | Physica Scripta |
| Том | 1993 |
| Первая страница | 252 |
| Последняя страница | 260 |
| Аффилиация | I B Khriplovich; Budker Institute of Nuclear Physics, 630090 Novosibirsk, Russia |
| Аффилиация | A I Milstein; Budker Institute of Nuclear Physics, 630090 Novosibirsk, Russia |
| Аффилиация | A S Yelkhovsky; Budker Institute of Nuclear Physics, 630090 Novosibirsk, Russia |
| Выпуск | T46 |
