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A model for phonon coupling contributions to electromagnetic moments of odd spherical nuclei

Within the Theory of Finite Fermi Systems (TFFS), a model is developed to describe Phonon Coupling (PC) effects in odd magic and semi-magic nuclei. It is based on the perturbation theory in , where gL is the vertex of the L-phonon creation. Among all diagrams the set is separated which depends significantly on the nucleus under consideration and the state λ of the odd nucleon. An ansatz is proposed to take into account the phonon tadpole diagram which ensures the total angular-momentum conservation. Calculations are carried out for three odd-proton chains, the odd Tl, In and Sb ones. Different PC corrections strongly cancel each other. In the result, the total PC correction to magnetic moments in magic nuclei is, as a rule, negligible. In the non-magic nuclei considered it is noticeable and improves the agreement with data.