735results of this experiment indicate the persistence of rather sharp resonances through the giant-resonance region.Recently, Izumo 34,35 has presented a theory of "partial equilibrium" for nuclear reactions in which a few (3-7) nucleons share excitation energy. The model is an attempt to explain the existence of "intermediate reso nances^ or clumps of oscillator strength ranging in width from 100 to 400 keV. It may be that the reso nances observed in this experiment below 14 MeV are examples of such intermediate resonances.One prediction of the Izumo theory is that the reso-The pairing interaction is studied by means of the equations of motion. An approximation is derived which adheres strictly to particle-number conservation, but is otherwise quite close to the formalism of the Bardeen-Cooper-Schrieffer (BCS) theory. It yields ground-state energies and single-particle properties considerably improved over those of the latter theory, as evidenced by calculations for (i) the model of Pawlikowski and Rybarska, (ii) the model of the Ni isotopes solved exactly by Kerman, Lawson, and Mac Farlane. Though it does not yet surpass in accuracy several alternative improvements of the BCS theory, it is capable of systematic further development, including the treatment of more realistic potentials.
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