Abstract
The two-neutron binding energy and excitation spectrum of O 18 are computed using the free nucleon-nucleon potential of Brueckner-Gammel-Thaler (which contains a hard core). The problem is discussed within the framework of the Bethe-Goldstone theory using harmonic oscillator wave functions as the unperturbed solutions. The interaction is diagonalized among the degenerate states and matrix elements are computed by a transformation to relative and center-of-mass coordinates. The energies in relative s-states are obtained by a numerical integration of the relative s-wave Schrödinger equation and then corrected for the presence of the filled levels. The ordering of the first five states of O 18 is given correctly and the binding energy and level spacings are quite close to the experimental values.
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