Feasibility of extracting a $\hat{I}{\pounds }^{-}$ admixture probability in the neutron-rich ${}_{\hat{I}}^{10}›$Li hypernucleus

Abstract

We examine theoretically production of the neutron-rich ${}_{\hat{I}}^{10}›$Li hypernucleus by a double-charge exchange ($\ddot{I}{€}^{-}$, $K^{+}$) 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 $\ddot{I}{€}^{-}p\to K^{+}\hat{I}{\pounds }^{-}$ via $\hat{I}{\pounds }^{-}$ doorways caused by a $\hat{I}{\pounds }^{-}p\leftrightarrow \hat{I}›n$ coupling can explain the recent experimental data, and the $\hat{I}{\pounds }^{-}$ admixture probability in ${}_{\hat{I}}^{10}›$Li is found to be the order of 10${}^{-1}$ %. The ($\ddot{I}{€}^{-}$, $K^{+}$) reaction provides a capability of extracting properties of wave functions with $\hat{I}›$-$\hat{I}\pounds$ coupling effects in neutron-rich nuclei, together with the reaction mechanism.

13 pages, 3 figures