Density dependence of the $\Lambda$ potential in nuclear matter

Determine the Lambda single-particle potential $U_{\Lambda}(n)$ in symmetric and pure neutron matter for n from $n_0\ \text{to}\ 3n_0$ ($n_0=0.16\ \mathrm{fm}^{-3}$), given $U_{\Lambda}(n_0)$ of about $-30\ \mathrm{MeV}$ from hypernuclear binding systematics. Answer: $U_{\Lambda}(n)$ with quantified uncertainty from $\Lambda N$ and $\Lambda NN$ interactions constrained by hypernuclear binding energies, femtoscopic correlations and lattice QCD, and the resulting Lambda threshold density in beta-equilibrated matter.

A $\Lambda NN$ three-body force fixed by $p-p-\Lambda$ and $d-\Lambda$ femtoscopy and by binding energies of medium and heavy hypernuclei, used in quantum Monte Carlo or chiral many-body calculations of hyperonic matter.