Padé-Approximation to the α Vacuum-Polarization Function and the Lamb Shift of the Muonic Hydrogen
نویسندگان
چکیده
The contribution of the α3 single electron-loop vacuum-polarization diagrams to the Lamb shift of the muonic hydrogen has been evaluated recently by two methods. One uses the exact parametric representation of the vacuum-polarization function while the other relies on the Padé approximation method. High numerical precision of these calculations enables us to examine the accuracy of the Monte-Carlo integration as well as that of the Padé method applied to the Lamb shift problem. PACS numbers: 36.10.Dr, 12.20.Ds, 31.30.Jv, 06.20.Jr Typeset using REVTEX e-mail: [email protected] e-mail: [email protected] 1
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