Abstract

The method introduced by Duguet is adopted to derive aseparable form of the pairing interaction in the 1S0 channel from a bare or aneffective nucleon–nucleon (NN) interaction in nuclear matter. With this approachthe separable pairing interaction reproduces the pairing properties provided by itscorresponding NN interaction. In this work, separable forms of pairing interactionsin the 1S0 channel for the bare NN interaction, Bonn potential and the Gognyeffective interaction are obtained. It is found that the separable force of theGogny effective interaction in the 1S0 channel has a clear link with the bare NNinteraction. With such a simple separable form pairing properties provided by theGogny force in nuclear matter can be reproduced.

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