Hypernuclear Constraints on \({ Λ }N\) and \({ Λ }NN\) Interactions

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