First order Brueckner-Hartree calculations for the Λ single-particle energies were performed with potentials Ib and IIa from a recent fit of the Nijmegen soft core potential parameters. The method was applied to ${}_{\Lambda }^5\mathrm{He},$ ${}_{\Lambda }^{13}\mathrm{C},$ ${}_{\Lambda }^{17}\mathrm{O},$ ${}_{\Lambda }^{41}\mathrm{Ca},$ ${}_{\Lambda }^{49}\mathrm{Ca},$ ${}_{\Lambda }^{91}\mathrm{Zr},$ and ${}_{\Lambda }^{208}\mathrm{Pb}.$ Although potentials Ib and IIa have very different short range characteristics, their results differed little over the $A=5\mathrm{}$ to 209 mass range. The results for ${}_{\Lambda }^5\mathrm{He}$ and ${}_{\Lambda }^{17}\mathrm{O}{(1/2\mathrm{}}^{+}{,1/2\mathrm{}}^{-}{,3/2\mathrm{}}^{-})$ were within 0.7 MeV of the approximate calculations used in the fitting process. This shows that the inclusion of the approximate calculations in potential fits will provide reliable constraints. The $0p$-shell hypernuclei were in good agreement with experimental results, however, ${}_{\Lambda }^5\mathrm{He}$ was underbound by 0.9 and 1.0 MeV for the two potentials. It is emphasized that g-matrix procedures more suited for the heavy systems should be developed to have reliable predictions of hypernuclear saturation properties.

• Received 23 August 1999

DOI:https://doi.org/10.1103/PhysRevC.61.034001