arXiv Analytics

Sign in

arXiv:0906.2632 [physics.atom-ph]AbstractReferencesReviewsResources

Second-order corrections to the wave function at origin in muonic hydrogen and pionium

Vladimir G. Ivanov, Evgeny Yu. Korzinin, Savely G. Karshenboim

Published 2009-06-15Version 1

Non-relativisitic second-order corrections to the wave function at origin in muonic and exotic atoms are considered. The corrections are due to the electronic vacuum polarization. Such corrections are of interest due to various effective approaches, which take into account QED and hadronic effects. The wave function at origin plays a key role in the calculation of the pionium lifetime, various finite nuclear size effects and the hyperfine splitting. The results are obtained for the $1s$ and $2s$ states in pionic and muonic hydrogen and deuterium and in pionium, a bound system of $\pi^+$ and $\pi^-$. Applications to the hyperfine structure and the Lamb shift in muonic hydrogen are also considered.

Related articles: Most relevant | Search more
arXiv:1005.4879 [physics.atom-ph] (Published 2010-05-26, updated 2010-05-27)
Non-relativistic contributions in order $α^5m_μc^2$ to the Lamb shift in muonic hydrogen, deuterium and helium ion
arXiv:1210.5828 [physics.atom-ph] (Published 2012-10-22, updated 2012-11-02)
Non-perturbative evaluation of some QED contributions to the muonic hydrogen $\bm{n=2}$ Lamb shift and hyperfine structure
arXiv:1107.1737 [physics.atom-ph] (Published 2011-07-08)
Relativistic Reduced-Mass and Recoil Corrections to Vacuum Polarization in Muonic Hydrogen, Muonic Deuterium and Muonic Helium Ions