Leading logarithmic contribution to the second-order lamb shift induced by the loop-after-loop diagram.
نویسنده
چکیده
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 analytical methods.
منابع مشابه
Corrections to Hyperfine Splitting and Lamb Shift Induced by the Overlapping Two-loop Electron Self-energy Insertion in the Electron Line
Contributions to HFS and to the Lamb shift intervals of order α(Zα) induced by the graph with the two-loop overlapping electron self-energy diagram inserted in the electron line are considered. Explicit expression for the overlapping two-loop self-energy diagram in the Fried-Yennie gauge is obtained. Contributions both to HFS and Lamb shift induced by the diagram containing such subgraph are ca...
متن کاملFirst Corrections to Hyperfine Splitting and Lamb Shift Induced by Diagrams with Two External Photons and Second Order Radiative Insertions in the Electron Line
Contributions to HFS and to the Lamb shift intervals of order α(Zα) induced by graphs with two radiative photons inserted in the electron line are considered. It is demonstrated that this last gauge invariant set of diagrams which are capable of producing corrections of considered order consists of nineteen topologically different diagrams. Contributions both to HFS and Lamb shift induced by gr...
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 کاملThe Running Coulomb Potential and Lamb Shift in QCD
The QCD β-function and the anomalous dimensions for the Coulomb potential and the static potential first differ at three loop order. We evaluate the three loop ultrasoft anomalous dimension for the Coulomb potential and give the complete three loop running. Using this result, we calculate the leading logarithmic Lamb shift for a heavy quark-antiquark bound state, which includes all contribution...
متن کاملLoop-after-loop contribution to the second-order Lamb shift in hydrogenlike low-Z atoms
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....
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Physical review letters
دوره 86 10 شماره
صفحات -
تاریخ انتشار 2001