Structure of neutron-rich $\Lambda$ hypernuclei

Properties of light neutron-rich $\Lambda$ hypernuclei ($^{16}_{\Lambda}$C, $^{12}_{\Lambda}$Be, and $^{11}_{\Lambda}$Li) are calculated within the Skyrme-Hartree-Fock approach. Interplay between hypernuclear interaction features and properties of these hypernuclei is studied. Response of weakly bound neutron states to hyperon addition depends generally on core distortion by hyperon, and it is essentially different for the different states. This response is especially sensitive to details of the ${\Lambda}N$ interaction for $1p_{1/2}$ states. Implications of the nuclear spin-orbit potential and nuclear incompressibility in the neutron-rich system properties are inferred. Dependence of the $\Lambda$ binding energies in hypernuclei on $Z$ at fixed $A$ is discussed