Effect of a realistic three-body force on the energy spectra of 13λC, 17λO, 40λ k and 48λ k

We adopt the Hartree-Fock (HF) method and the nucleon-Λ Tamm-Dancoff Approximation (NΛ TDA) to study the energy spectra of selected medium mass hypernuclei composed of a Λ hyperon bound to an even-even and odd-even nuclear cores. Our calculations are carried out using the YN LO potential plus the chiral potential NNLOsat, which includes explicitly the 3-body NNN force. This component, while improving the r.m.s. radii of the nuclear cores and the relative distances between levels or group of levels of the hypernuclear spectra, strongly reduces the binding energies indicating that the inclusion of more complex configurations is badly needed