Alpha-clustered hypernuclei and chiral SU(3) dynamics

Light hypernuclei with an $α$ cluster substructure of the core nucleus are studied using an accurate cluster approach (the Hyper-THSR wave function) in combination with a density-dependent $Λ$ hyperon-nuclear interaction derived from chiral SU(3) effective field theory. This interaction includes important two-pion exchange processes involving $ΣN$ intermediate states and associated three-body mechanisms as well as effective mass and surface terms arising in a derivative expansion of the in-medium $Λ$ self-energy. Applications and calculated results are presented and discussed for $_Λ^9$Be and $^{13}_Λ$C. Furthermore, the result of the lightest $α$ clustered hypernucleus, $^5_Λ$He using realistic $ab initio$ four nucleon density is shown.

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