The $Λ$-$Σ$ coupling effect in the neutron-rich $Λ$-hypernucleus $_Λ^{10}$Li by microscopic shell model

Abstract

We investigate the structure of the neutron-rich $Λ$-hypernucleus $_Λ^{10}$Li by using microscopic shell-model calculations considering a $Λ$-$Σ$ coupling effect. The calculated $Σ$-mixing probability in the $_Λ^{10}$Li ground state is found to be about 0.34 % which is coherently enhanced by the $Λ$-$Σ$ coupling configurations, leading to the energy shift 0.28 MeV which is about 3 times larger than that in $_Λ^{7}$Li. The importance of the $Σ$ configuration obtained by the $ΣN$ interaction and the potentiality of the neutron-rich environment are discussed.

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