Feasibility of extracting a Σ^- admixture probability in the neutron-rich _Λ¹⁰Li hypernucleus

We theoretically examine production of the neutron-rich _Λ¹⁰Li hypernucleus by a double-charge exchange (π^-, K⁺) reaction on a ¹⁰B target with distorted-wave impulse approximation calculations. We calculate the inclusive spectrum at the incident momentum 1.20 GeV/c by a one-step mechanism π^-p→K⁺Σ^- via Σ^- doorways caused by a Σ^-p↔Λn coupling. The resultant spectrum can explain the magnitude of the recent experimental data, so that the Σ^- admixture probability in _Λ¹⁰Li is found to be of the order of 10^-1%. The (π^-, K⁺) reaction provides the ability to extract properties of wave functions with Λ-Σ coupling effects in neutron-rich nuclei, as well as the reaction mechanism.