Effects of $Σ$N channels on the Spin-Orbit Force in $Λ$-hypernuclei

Abstract

Effects of the $Σ$N channels on the spin-orbit force in $Λ$-hypernuclei are investigated. It is found that the cancellation between the symmetric and the antisymmetric $Λ$N spin-orbit force becomes more complete when the contribution from the $Σ$N channels is included. This may be the one of the reasons why the observed LS splitting of the $Λ$ single particle energy is very small.