Dynamics of the shell model
Apr, 1985Citations per year
Abstract: (Elsevier)
Many Fermi liquids are amenable to a shell-model description, where the particles move in an average potential. The coupling of the single-particle degrees of freedom to other modes of excitation strongly affects the properties of the shell-model potential. It is empirically found, however, that these couplings preserve the approximate validity of the shell model. Significant theoretical progress has recently been accomplished in the understanding of the resulting “dynamical shell model” in nuclear matter, normal liquid 3 He, the electron gas and nuclei. The dominant modes which couple to the single-particle motion are particle-hole excitations in the case of nuclear matter, paramagnons in the case of 3 He, phonons for electrons in metals and surface vibrations in the case of nuclei. For the latter, the dynamical shell model can be viewed as an extension of the optical model to encompass both positive and negative energies. It thus provides a unified description of scattering and of bound single-particle states. The associated potential is energy dependent. This feature is characterized by the nucleon effective mass. The theoretical and experimental evidence which testifies to the existence of a strong energy dependence of this effective mass around the Fermi energy and near the nuclear surface is the central subject of the present review.References(364)
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