Study of $Λ$ hypernuclei in the quark mean field model

Abstract

We extend the quark mean field model to the study of $Λ$ hypernuclei. Without adjusting parameters, the properties of $Λ$ hypernuclei can be described reasonably well. The small spin-orbit splittings for $Λ$ in hypernuclei are achieved, while the $Λ$ 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 $ω-Λ$ couplings is required in order to reproduce the experimental single particle energies.

8 pages, LaTeX, 3 ps figures, revised version, references added