Hypernuclear constraints on $ΛN$ and $ΛNN$ interactions

Recent work on using density-dependent \({\mit \Lambda }\)-nuclear optical potentials in calculations of \({\mit \Lambda }\)-hypernuclear binding energies is reviewed. It is found that all known \({\mit \Lambda }\) binding energies in the mass range of \(16 \leq A \leq 208\) are well fitted in terms of two interaction parameters: one, attractive, for the spin-averaged \({\mit \Lambda } N\) interaction, and another one, repulsive, for the \({\mit \Lambda } NN\) interaction. The \({\mit \Lambda } N\) interaction term by itself overbinds \({\mit \Lambda }\) hypernuclei, in quantitative agreement with recent findings obtained in EFT and Femtoscopy studies. The strength of the \({\mit \Lambda } NN\) interaction term is compatible with values required to resolve the hyperon puzzle. Published by the Jagiellonian University 2026 authors