The binding energy of ${\mathrm{He}}^4$ and ${\mathrm{O}}^{16}$ was calculated using reaction matrix elements of Tabakin's potential. A separable form of the potential has been used to reduce the basic equation to a simple linear algebraic system. The Pauli operator $Q$ defined in terms of harmonic-oscillator intermediate states permits an easy and accurate calculation. Our numerical results for the binding energies include the first- and second-order contributions. A very resonable agreement between the experimental and theoretical values has been obtained, since the occupied-state energies are made nearly self-consistent and a cancellation of other important higher-order contributions has been achieved by a shift of the entire harmonic-oscillator spectra.

• Received 19 January 1970

DOI:https://doi.org/10.1103/PhysRevC.2.356