The nonrelativistic Skyrme energy density functional (EDF) based collective Hamiltonian, that takes into account dynamical correlations related to the restoration of broken symmetries and fluctuations of quadrupole collective variables, is applied to quantitatively study the impurity effect of Λ hyperon on the collectivity of 44S. Several Skyrme forces for both the nucleonnucleon (NN) and Λ-nucleon (ΛN) interactions are used. The influence of pairing strengths on the polarization effect of Λ hyperon is also examined. It is found that although these Skyrme forces with different pairing strengths give somewhat different low-lying spectra for 44S, all of them give similar and generally small size of Λ reduction effect (within 5%) on the collective properties.
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