Abstract

The strength of ground-state correlations calculated from the RPA with quasi-boson approximation is known to differ by a factor of two from that calculated in various other methods. This contradiction is investigated in detail in the case of closed-shell nucleus with any single multi-pole interaction. It is proved that the ground-state correlations calculated by the RPA with the quasi-boson approximation are correct if only collective states are included, as suggested by Rowe, in the case of negligible exchange matrix elements of the interaction.

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