We have performed accurate G-matrix calculations for the hypernucleus ${}_{\mathrm{\Lambda }}{}^{16}{}_{}{}^{}\mathrm{O}$ using the one- and two-boson-exchange Jülich hyperon-nucleon potentials. A finite-nuclei Pauli operator defined in terms of oscillator wave functions is employed, and treated essentially exactly in solving the coupled ΛN and ΣN G-matrix equation. Numerical stability concerning the choice of the k-space mesh points for discretization and the accuracy of a finite-boundary approximation are examined. Our calculated spectrum for ${}_{\mathrm{\Lambda }}{}^{16}{}_{}{}^{}\mathrm{O}$ is in good agreement with experiments.

• Received 16 April 1993

DOI:https://doi.org/10.1103/PhysRevLett.71.1498