Binding energies of hypernuclei and three-body ΛNN forces

Binding energies of hypernuclei are calculated with use of accurate variational methods for A = 3, 5, with effective interaction calculations for A = 5, 9, 13, infinity, and with Fermi hypernetted-chain variational calculations for A = infinity. Effective interactions and variational results agree within a few percent. For ΛN forces consistent with Λp scattering, agreement with the experimental energies is obtained with strongly repulsive Wigner type ΛNN forces, and for A>5 also with a weakened p-state ΛN strength about half that of the s-state strength