New effective interactions for hypernuclei in density dependent relativistic mean field model

Abstract

New effective ΛN interactions are proposed for the density dependent relativistic mean field model. The multidimensionally constrained relativistic mean field model is used to calculate ground state properties of eleven known Λ hypernuclei with A ≥ 12 and the corresponding core nuclei. Based on effective NN interactions DD-ME2 and PKDD, the ratios R σ and R ω of scalar and vector coupling constants between ΛN and NN interactions are determined by fitting calculated Λ separation energies to experimental values. We propose six new effective interactions for Λ hypernuclei: DD-ME2-Y1, DD-ME2-Y2, DD-ME2-Y3, PKDD-Y1, PKDD-Y2 and PKDD-Y3 with three ways of grouping and including these eleven hypernuclei in the fitting. It is found that the two ratios R σ and R ω are correlated well and there holds a good linear relation between them.