caa a22 4500 445866802 CHVBK 20180317145500.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1140/epjd/e2011-20338-2 doi (NATIONALLICENCE)springer-10.1140/epjd/e2011-20338-2 Semi-analytic approach to higher-order corrections in simple muonic bound systems: Vacuum polarization, self-energy and radiative-recoil [Elektronische Daten] [U. Jentschura, B. Wundt] The current discrepancy of theory and experiment observed recently in muonic hydrogen necessitates a reinvestigation of all corrections to contribute to the Lamb shift in muonic hydrogen (μH), muonic deuterium (μD), the muonic \hbox{${}^3{\rm He}$} 3 He ion (denoted here as μ 3He+), as well as in the muonic \hbox{${}^4{\rm He}$} 4 He ion (μ 4He+). Here, we choose a semi-analytic approach and evaluate a number of higher-order corrections to vacuum polarization (VP) semi-analytically, while remaining integrals over the spectral density of VP are performed numerically. We obtain semi-analytic results for the second-order correction, and for the relativistic correction to VP. The self-energy correction to VP is calculated, including the perturbations of the Bethe logarithms by vacuum polarization. Subleading logarithmic terms in the radiative-recoil correction to the 2S-2P Lamb shift of order α(Zα)5 μ 3ln(Zα)/(m μ m N ) are also obtained. All calculations are nonperturbative in the mass ratio of orbiting particle and nucleus. EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg, 2011 Jentschura U. Department of Physics, Missouri University of Science and Technology, MO65409, Rolla, USA aut Wundt B. Department of Physics, Missouri University of Science and Technology, MO65409, Rolla, USA aut The European Physical Journal D Springer-Verlag 65/3(2011-12-01), 357-366 1434-6060 65:3<357 2011 65 10053 https://doi.org/10.1140/epjd/e2011-20338-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1140/epjd/e2011-20338-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Jentschura U. Department of Physics, Missouri University of Science and Technology, MO65409, Rolla, USA aut NATIONALLICENCE 700 1- Wundt B. Department of Physics, Missouri University of Science and Technology, MO65409, Rolla, USA aut NATIONALLICENCE 773 0- The European Physical Journal D Springer-Verlag 65/3(2011-12-01), 357-366 1434-6060 65:3<357 2011 65 10053 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer