Abstract
We assume that the ground state wave functions of a closed shell nucleus is approximated by a Slater determinant in the restricted region of configuration space where all internucleon distances are larger than a certain “healing distance”. The remainder of the wave function is given in terms of a series of cluster functions. The overlap integral between the correct wave functions and the Slater determinant is small and depends on the higher cluster functions in a complicated manner. Nevertheless we can show that the one- and two-body density matrices are well approximated by expressions involving only the single-particle wave functions and the two-body cluster functions. The Schrödinger equation yields a coupled set of equations which determine the cluster functions as well as the single-particle wave functions.
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