$\mathrm{\Lambda }NN$ content of $\mathrm{\Lambda }$-nucleus potential

A minimally constructed $\mathrm{\Lambda }$-nucleus density-dependent optical potential is used to calculate binding energies of observed $1s_{\mathrm{\Lambda }}$, $1p_{\mathrm{\Lambda }}$ states across the periodic table, leading to a repulsive $\mathrm{\Lambda }NN$ contribution $D_{\mathrm{\Lambda }}^{(3)}\approx 14$ MeV to the phenomenological $\mathrm{\Lambda }$-nucleus potential depth $D_{\mathrm{\Lambda }}\approx -30$ MeV. This value is significant in connection with the so-called ‘hyperon puzzle’.