Double-logarithmic two-loop self-energy corrections to the Lamb shift
نویسندگان
چکیده
منابع مشابه
Logarithmic two-loop corrections to the Lamb shift in hydrogen
Higher order (α/π)2 (Z α)6 logarithmic corrections to the hydrogen Lamb shift are calculated. The results obtained show the two-loop contribution has a very peculiar behavior, and significantly alter the theoretical predictions for low lying S-states. PACS numbers 31.30 Jv, 12.20 Ds, 06.20 Jr, 32.10 Fn Typeset using REVTEX E-mail address: [email protected]
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The two-loop self-energy correction is evaluated to all orders in Zα for the groundstate Lamb shift of H-like ions with Z ≥ 20, where Z is the nuclear charge number and α is the fine structure constant. The results obtained are compared with analytical calculations performed within the Zα-expansion.
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We investigate two-loop higher-order binding corrections to the fine structure, which contribute to the spin-dependent part of the Lamb shift. Our calculation focuses on the so-called “two-loop selfenergy” involving two virtual closed photon loops. For bound states, this correction has proven to be notoriously difficult to evaluate. The calculation of the binding corrections to the bound-state ...
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The contribution of order alpha(2)(Zalpha)(6)ln (3)(Zalpha)(-2) to the ground-state Lamb shift in hydrogen induced by the loop-after-loop diagram is evaluated analytically. An additional contribution of this order is found compared to the previous calculation by Karshenboim [Sov. Phys. JETP 76, 541 (1993)]. As a result, agreement is achieved for this correction between different numerical and a...
متن کاملar X iv : h ep - p h / 02 05 01 9 v 1 2 M ay 2 00 2 Double – Logarithmic Two – Loop Self – Energy Corrections to the Lamb Shift
Self-energy corrections involving logarithms of the parameter Zα can often be derived within a simplified approach , avoiding calculational difficulties typical of the problematic non-logarithmic corrections (as customary in bound-state quantum electrodynamics, we denote by Z the nuclear charge number, and by α the fine-structure constant). For some logarithmic corrections, it is sufficient to ...
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ژورنال
عنوان ژورنال: Physical Review A
سال: 2002
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.66.022114