Abstract

Relativistic definitions of c.m. and internal dynamical variables are obtained for a weakly bound, Lorentz invariant system containing an arbitrary number of particles. The method used is a generalization of the one developed by Osborn for the case of two-body systems. Once defined, the variables are used in a study of the interaction of composite systems with an external electromagnetic field. It is found that one obtains additional relativistic corrections to those usually included in such calculations. These corrections can be classified as being either spin dependent or spin independent. The importance of the former has previously been established. The importance of the latter is established here. Finally, it is shown that the Drell-Hearn Gerasimov sum rule can now be validated for an arbitrary, weakly-bound N-body system.

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