We investigate a Σ-mixing probability of a neutron-rich A-hypernucleus ~(10)_ΛLi by using microscopic shell-model calculations considering a Λ-Σ coupling in the first order perturbation.The theoretical Σ-mixing probability in ~(10)_Li is found to be about 0.48%,due to the appearance of multi-configuration Σ Nuclear excited states which can be strongly coupled with the A ground state in ~(10)_Li.
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