Configuration mixing in low-lying spectra of carbon hypernuclei

Abstract

We perform a coupled-channels study of the low-lying states in ${}_{\Lambda }^{13,15,17,19}$C with a covariant energy density functional based microscopic particle-core coupling model. The energy differences of $1/2^{-}$ and $3/2^{-}$ states in ${}_{\Lambda }^{13}$C and ${}_{\Lambda }^{15}$C are predicted to be 0.25 MeV and 0.34 MeV, respectively. We find that configuration mixings in the $1/2^{-}$ and $3/2^{-}$ states of ${}_{\Lambda }^{15}$C are the weakest among those of ${}_{\Lambda }^{13,15,17,19}$C. It indicates that ${}_{\Lambda }^{15}$C provides the best candidate among the carbon hypernuclei to study the spin-orbit splitting of $p_{\Lambda }$ hyperon state.

Comments: 5 pages with two figures and three tables, SCIENCE CHINA Physics, Mechanics & Astronomy, 2017