A new approach to calculation of the binding corrections to the magnetic moments of the constituents in a loosely bound system based, on the Bargmann Michel Telegdi equation, is suggested. Binding corrections are calculated in this framework, and the results confirm earlier calculations performed by other methods. Our method clearly demonstrates independence of the binding corrections on the magnitude of the spin of the constituents.
1997 Academic Press
I. INTRODUCTION
It is a common practice to describe the Zeeman effect in atoms in terms of the gyromagnetic ratios of the constituents, and also to use when needed the Clebsch Gordon coefficients. However, due to the binding effects, magnetic moments of the electrons and the nuclei do not coincide exactly with the magnetic moments of the free particles. Respective bound-state corrections to the gyromagnetic ratios of the constituents in the hydrogenic atoms have been calculated a long time ago in Refs. 1 3. Explicit calculations in these works were done for the case of spin onehalf constituents, and the methods of [1,2] do not admit straightforward generalization for the case of the nuclei with other spins. So, it was not clear from these works if the spin one-half formulae for the heavy particle gyromagnetic ratio may be applied without alteration for nuclei with other spins, for example in the case of deuterium. This problem was resolved by quite general and abstract considerations in [3] based on the representation theory of the Poincare group. It was shown there that respective expressions are equally valid for any spin of the nucleus. This article no. PH975725 191 0003-4916Γ97 25.00