Configuration mixing in low-lying spectra of carbon hypernuclei

Abstract

We perform a coupled-channels study of the low-lying states in $^{13,15,17,19}_{~~~~~~~~~~~~~~~~~~~~~Λ}$C with a covariant energy density functional based microscopic particle-core coupling model. The energy differences of $1/2^-$ and $3/2^-$ states in $^{13}_Λ$C and $^{15}_Λ$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 $^{15}_Λ$C are the weakest among those of $^{13,15,17,19}_{~~~~~~~~~~~~~~~~~~~~~Λ}$C. It indicates that $^{15}_Λ$C provides the best candidate among the carbon hypernuclei to study the spin-orbit splitting of $p_Λ$ hyperon state.

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