ONE NUCLEON OVERLAP INTEGRALS FOR LIGHT-NUCLEI

A microscopic method to calculate one nucleon overlap integrals for li ght nuclei is presented. This method is based on the solution of the i nhomogeneous differential equation with a fully microscopic treatment of a source term. The source term is calculated with effective two-bod y nucleon-nucleon (NN) forces and many-body nuclear wave functions rep resented in a translation-invariant shell model basis. Such an approac h automatically provides the correct asymptotic behaviour of the overl ap integral. Numerical calculations have been performed for the [Be-7( n)xp\B-8(g.s.)], [(7)Li(g.s.)xn\Li-8(g.s.)] and [(10)Be(g.s.)xn\Be-11 (1/2(-))] overlaps. It has been found that the spectroscopic factors, obtained as norms of the calculated overlap integrals, depend on the choice of the NN-potential and may differ strongly from the correspond ing shell model values. The shapes of the overlap integrals are not ve ry sensitive to the NN-potentials used in the calculations, and are ma inly determined by the oscillator radius. The microscopically calculat ed overlaps are close to the two-body potential-model wave functions o btained with standard geometric parameters of the Woods-Saxon potentia l. (C) 1998 Elsevier Science B.V.