Abstract
The theory of the exchange resonance modes is extended to the case of a sphere with a non-magnetic core, such as the fine particles of ferromagnetic alloys that are grown around a nucleus of noble metals. A first-order calculation leads to modified eigenvalues as a function of the radius of the inner sphere, which turns out to be hardly noticeable for the inner radius used in the published experiments. For larger holes, this modification is negligibly small for some modes, but can be measurably large for other modes.
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