Loop-after-loop contribution to the second-order Lamb shift in hydrogenlike low-Z atoms
نویسنده
چکیده
We present a numerical evaluation of the loop-after-loop contribution to the second-order self-energy for the ground state of hydrogenlike atoms with low nuclear charge numbers Z. The calculation is carried out in the Fried-Yennie gauge and without an expansion in Zα. Our calculation confirms the results of Mallampalli and Sapirstein and disagrees with the calculation by Goidenko and coworkers. A discrepancy between different calculations is investigated. An accurate fitting of the numerical results provides a detailed comparison with analytic calculations based on an expansion in the parameter Zα. We confirm the analytic results of order α2(Zα)5 but disagree with Karshenboim’s calculation of the α2(Zα)6 ln(Zα)−2 contribution. Typeset using REVTEX e-mail: [email protected] 1
منابع مشابه
Exact two-loop vacuum polarization correction to the Lamb shift in hydrogen-like ions
We present a calculation scheme for the two-loop vacuum polarization correction of order α2 to the Lamb shift of hydrogen-like high-Z atoms. The interaction with the external Coulomb field is taken into account to all orders in (Zα). By means of a modified potential approach the problem is reduced to the evaluation of effective one-loop vacuum polarization potentials. An expression for the ener...
متن کاملLeading logarithmic contribution to the second-order lamb shift induced by the loop-after-loop diagram.
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 کاملLogarithmic 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]
متن کاملVacuum polarization in muonic atoms: the Lamb shift at low and medium Z
In muonic atoms the Uehling potential (an effect of a free electronic vacuum polarization loop) is responsible for the leading contribution to the Lamb shift causing the splitting of states with ∆n = 0 and ∆l 6= 0. Here we consider the Lamb shift in the leading nonrelativistic approximation, i.e., within an approach based on a certain Schrödinger equation. That is valid for low and medium Z as ...
متن کاملSelf-energy correction to the hyperfine structure splitting of hydrogenlike Atoms.
A first testing ground for QED in the combined presence of a strong Coulomb field and a strong magnetic field is provided by the precise measurement of the hyperfine structure splitting of hydrogenlike 209Bi. We present a complete calculation of the one-loop self-energy correction to the first-order hyperfine interaction for various nuclear charges. In the low-Z regime we almost perfectly agree...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008