Unitary pole approximation for the Coulomb-plus-Yamaguchi potential and application to a three-body bound-state calculation

The unitary pole approximation is used to construct a separable representation for a potential U which consists of a Coulomb repulsion plus an attractive potential of the Yamaguchi type. The exact bound-state wave function is employed. U is chosen as the potential which binds the proton in the 1d5/2 single-particle orbit in F17. Using the separable representation derived for U, and assuming a separable Yamaguchi potential to describe the 1d5/2 neutron in O17, the energies and wave functions of the ground state (1+) and the lowest 0+ state of F18 are calculated in the core-plus-two-nucleons model solving the Faddeev equations. © 1991 The American Physical Society.