Eur. Phys. J. D 2, 209-215 (1998)
https://doi.org/10.1007/s100530050133

Corrections to the wave function and the hyperfine structure in exotic atoms

¹ D.I. Mendeleev Institute for Metrology, 198005 St. Petersburg, Russia
² Max-Planck-Institut für Physik komplexer Systeme, Bayreuther Straße 40, 01069 Dresden, Germany
³ Institut für Theoretische Physik, TU Dresden, 01062 Dresden, Germany
⁴ National Institute for Standards and Technology, Gaithersburg, MD 20899-0001, USA
⁵ Pulkovo Observatory, 196140 St. Petersburg, Russia

Corresponding authors: ^a sgk@onti.vniim.sbp.su - ^b ulrich@theory.phy.tu-dresden.de - ^c soff@physik.tu-dresden.de

Received: 28 January 1998
Accepted: 13 March 1998
Published online: 15 June 1998

Abstract

We present an analytical evaluation of radiative corrections in exotic atoms induced by the one-loop electronic vacuum polarization. We evaluate corrections to the energy levels, to the wave function (at the origin) and to the hyperfine structure. We treat all corrections analytically within a non-relativistic approximation. Agreement is found with a few available numerical results. The analytical treatment allows to determine the asymptotic forms of the corrections in the limit of a small atomic radius, which for the atomic systems considered corresponds to a large mass of the constituent particle as compared to the electron mass. The asymptotics can be verified using the effective charge approach.