Quark mean-field model for single and double Λ and Ξ hypernuclei

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The study of hypernuclei in the quark mean-field model are extended from single-Λ hypernuclei to double-Λ hypernuclei as well as Ξ hypernuclei (double strangeness nuclei), with a broken SU(3) symmetry for the quark confinement potential. The strength of the potential for u,d quarks is constrained by the properties of finite nuclei, while the one for s quark is fixed by the single Λ-nucleus potential at the nuclear saturation density, which has a slightly different value. Compared to our previous work, we find that the introduction of such symmetry breaking improves efficiently the description of the single Λ energies for a wide range of mass region, which demonstrates the importance of this effect on the hypernuclei study. Predictions for double-Λ hypernuclei and Ξ hypernuclei are then made, confronting with a few available experiential double-Λ hypernuclei data and other model calculations. The consistency of our results with the available double-Λ hypernucleus is found to be surprisingly good. Also, there is generally a bound state for Ξ⁰ hypernuclei with both light and heavy core nuclei in our model.