MICROSCOPIC STUDY OF THE EFFECTIVE PAIRING INTERACTION IN SEMIINFINITE NUCLEAR-MATTER WITH THE SEPARABLE NN-INTERACTION

The problem of pairing in semi-infinite nuclear matter is considered m icroscopically. Equations for the effective pairing interaction in the semi-infinite matter for the separable form of the NN-interaction are derived and solved directly, without use of any form of local approxi mation. Numerical solution is carried out for a separable representati on of the Paris NN-potential, A version of the local approximation, th e ''local potential approximation'', is suggested which works sufficie ntly well even in the surface region, The effective pairing interactio n obtained in our calculations reveals a strong variation in the surfa ce region changing from a strong attraction outside the nuclear matter to almost zero value inside, Thus, it confirms the idea of the surfac e nature of nuclear pairing. (C) 1998 Elsevier Science B.V.