Two-Loop Bethe Logarithms for Higher Excited S Levels
| dc.creator | Jentschura, Ulrich D. | |
| dc.date | 2004-09-23 | |
| dc.date | 2004-09-23 | |
| dc.date.accessioned | 2026-07-07T03:53:31Z | |
| dc.date.available | 2026-07-07T03:53:31Z | |
| dc.description | Processes mediated by two virtual low-energy photons contribute quite significantly to the energy of hydrogenic S states. The corresponding level shift is of the order of (alpha/pi)^2 (Zalpha)^6 m_e c^2 and may be ascribed to a two-loop generalization of the Bethe logarithm. For 1S and 2S states, the correction has recently been evaluated by Pachucki and Jentschura [Phys. Rev. Lett. vol. 91, 113005 (2003)]. Here, we generalize the approach to higher excited S states, which in contrast to the 1S and 2S states can decay to P states via the electric-dipole (E1) channel. The more complex structure of the excited-state wave functions and the necessity to subtract P-state poles lead to additional calculational problems. In addition to the calculation of the excited-state two-loop energy shift, we investigate the ambiguity in the energy level definition due to squared decay rates. | |
| dc.description | 14 pages, RevTeX, to appear in Phys. Rev. A | |
| dc.identifier | https://arxiv.org/abs/hep-ph/0409271 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/0409271 | |
| dc.identifier | Phys.Rev. A70 (2004) 052108 | |
| dc.identifier | doi:10.1103/PhysRevA.70.052108 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/43868 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Two-Loop Bethe Logarithms for Higher Excited S Levels | |
| dc.type | text |