The Brueckner-Bethe-Goldstone-Faddeev formalism is employed to calculate the binding energy of ${}_{}{}^4{}_{}{}^{}\mathrm{He}$ with the Reid soft-core potential. The propagator in the reaction matrix is modified to account for translational invariance, and antisymmetrization of the wave function. Convergence of the method is tested by introducing a variable energy shift in the excited-state spectrum.

NUCLEAR STRUCTURE Brueckner-Bethe-Goldstone-Faddeev formalism revised in an oscillator basis, Reid soft-core potential, ${}_{}{}^4{}_{}{}^{}\mathrm{He}$.

• Received 28 June 1976

DOI:https://doi.org/10.1103/PhysRevC.15.394