Skyrme-Hartree-Fock treatment of Λ and ΛΛ hypernuclei with G-matrix motivated interactions

Skyrme-like hyperon-nucleon potentials are derived from G-matrix calculations and shown to reproduce well the Λ single-particle spectra of hypernuclei measured at BNL and KEK. Previously known potentials are reexamined systematically. The fit of the spectra can restrict the radii of Λ orbits in hypernuclear ground states, Λ well depth and effective mass in nuclear matter, and polarization of nuclear cores caused by hyperon rather tightly. The implications of the ΛN spin-orbit force to the spectra are considered. Hartree-Fock calculations of binding energies of _ΛΛ¹³B with density-dependent G-matrix ΛΛ potentials are presented, taking note of the core-rearrangement effects induced by ΛN interactions.