Feasibility of extracting a ${\Sigma }^{-}$ admixture probability in the neutron-rich ${}_{\Lambda }^{10}$Li hypernucleus

Abstract

We examine theoretically production of the neutron-rich ${}_{\Lambda }^{10}$Li hypernucleus by a double-charge exchange (${\pi }^{-}$, $K^{+}$) reaction on a ${}^{10}$B target with distorted-wave impulse approximation calculations. The result shows that the magnitude and shape of the calculated spectrum at 1.20 GeV/c by a one-step mechanism ${\pi }^{-}p\to K^{+}{\Sigma }^{-}$ via ${\Sigma }^{-}$ doorways caused by a ${\Sigma }^{-}p\leftrightarrow \Lambda n$ coupling can explain the recent experimental data, and the ${\Sigma }^{-}$ admixture probability in ${}_{\Lambda }^{10}$Li is found to be the order of 10${}^{-1}$ %. The (${\pi }^{-}$, $K^{+}$) reaction provides a capability of extracting properties of wave functions with $\Lambda$-$\Sigma$ coupling effects in neutron-rich nuclei, together with the reaction mechanism.

Comments: 13 pages, 3 figures