Study of $\Lambda$ hypernuclei in the quark mean field model

Abstract

We extend the quark mean field model to the study of $\Lambda$ hypernuclei. Without adjusting parameters, the properties of $\Lambda$ hypernuclei can be described reasonably well. The small spin-orbit splittings for $\Lambda$ in hypernuclei are achieved, while the $\Lambda$ single particle energies in the present model are slightly underestimated as compared with the experimental values. About 3% deviation from the quark model prediction for the $\omega-\Lambda$ couplings is required in order to reproduce the experimental single particle energies.