Light $\mathrm{\Lambda }$ hypernuclei studied with chiral hyperon-nucleon and hyperon-nucleon-nucleon forces

A study of light $\mathrm{\Lambda }$ hypernuclei in chiral effective field theory is presented. For the first time chiral $\mathrm{\Lambda }$NN and $\mathrm{\Sigma }$NN three-body forces are included consistently. The calculations are performed within the no-core shell model. Results for the separation energies of the hypernuclei ${}_{\mathrm{\Lambda }}^3\mathrm{H}$, ${}_{\mathrm{\Lambda }}^4\mathrm{H}$/${}_{\mathrm{\Lambda }}^4\mathrm{H}\mathrm{e}$, ${}_{\mathrm{\Lambda }}^5\mathrm{H}\mathrm{e}$, and ${}_{\mathrm{\Lambda }}^7\mathrm{L}\mathrm{i}$ are given. It is found that the experimental values can be fairly well reproduced once YNN three-body forces are taken into account.