Abstract
It is shown that a problem non-existent in infinite matter-the completely different low-energy structure of even- and odd-particle nuclei-can be handled in the spirit of Landau's theory, at least for magic nuclei and their neighbours, by using the Hamiltonian and the particle-number operator as external fields in response equations for even-odd nuclei. Thereby it is proved that the many-body T matrix, which governs the properties of even-particle nuclei, also determines completely the structure of even-odd nuclei, without the appearance of irreducible three-body interactions. The role played by Landau's amplitude in infinite matter is taken over by the completely irreducible kernel K in a set of Bethe-Salpeter equations for the many-body T matrix. The non-existence of double-counting problems is demonstrated by considering results in second-order perturbation theory.
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