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.

arXiv comment13 pages, 3 figures

References in corpus (5)

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• Baryon-baryon interactions in the SU6 quark model and their applications to light nuclear systems
• An Effective Equation of State for Dense Matter with Strangeness
• Study of the Sigma-nucleus potential by the (pi^-,K^+) reaction on medium-to-heavy nuclear targets
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Cited by in corpus (8)

• Strangeness in nuclear physics
• Strangeness nuclear physics: a critical review on selected topics
• Search for ${}_{\Lambda }^6$H hypernucleus by the ${}^6$Li$({\pi }^{-},K^{+})$ reaction at $p_{{\pi }^{-}}$ = 1.2 GeV/$c$
• Production of doubly strange hypernuclei via Ξ- doorways in the 16O(K-, K+) reaction at 1.8 GeV/c
• The $\Lambda$-$\Sigma$ coupling effect in the neutron-rich $\Lambda$-hypernucleus ${}_{\Lambda }^{10}$Li by microscopic shell model
• Repulsion and absorption of the $\Sigma$-nucleus potential for ${\Sigma }^{-}$-${}^5$He in the ${}^6$Li(${\pi }^{-}$, $K^{+}$) reaction
• Production of Neutron-Rich Lambda Hypernuclei at J-PARC
• Search for Tetraneutron by Pion Double Charge Exchange Reaction at J-PARC