Second-order electron self-energy loop-after-loop correction for low-Z hydrogen-like ions

✍ Scribed by Igor Goidenko; Leonti Labzowsky; Günter Plunien; Gerhard Soff

• Publisher: Elsevier Science
• Year: 2005
• Tongue: English
• Weight: 144 KB
• Volume: 235
• Category: Article
• ISSN: 0168-583X
• DOI: 10.1016/j.nimb.2005.03.142

✦ Synopsis

The second-order electron self-energy loop-after-loop correction is investigated for hydrogen-like ions in the region of low nuclear charge numbers Z. Both irreducible and reducible parts of this correction are evaluated for the 1s 1/2 -state within the Fried-Yennie gauge. We confirm the result obtained first by Mallampalli and Sapirstein. The reducible part of this correction is evaluated numerically for the first time and it is consistent with the corresponding analytical aZexpansion.