Abstract
An attempt is made of accounting for the observed pairing energies in several light spherical and deformed nuclei by using a simple B.C.S. plus Hartree-Fock model. As for the single-particle model, an isotropic harmonic oscillator potential has been used for spherical nuclei, and an anisotropic one (Nilsson) for deformed nuclei. The basic interaction is assumed to be that of free nucleons, and two examples of the nucleon-nucleon potential are examined. The accuracy of the B.C.S. method for calculating the ground-state energy of the truncated Hamiltonian has been proved to be quite good; but the resulting values of the theoretical pairing energies do not in general agree with the observed values. It is suggested that the most important reason for this discrepancy is given by the effect of the residual interaction between the quasi-particles. One possible method of estimating this effect is indicated.
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