Beyond-mean-field study of ³⁷_Λ Ar based on the Skyrme-Hartree-Fock model

We present the hypernuclear states of ³⁷_Λ Ar obtained using the Skyrme-Hartree-Fock (SHF) model and a beyond-mean-field approach, including angular momentum projection (AMP) and the generator coordinate method (GCM). A comprehensive energy spectrum is given, which includes normally deformed (ND) and super deformed (SD) hypernuclear states with positive or negative parities. Energy levels corresponding to the configurations in which a Λ hyperon occupies the s-, p-, or sd-shell orbitals are discussed. For the s-shell Λ, we pay special attention to the ND and SD states corresponding to the configurations ³⁶ Ar^N⊗ s_Λ and ³⁶ Ar^S⊗ s_Λ, where ³⁶ Ar^N and ³⁶ Ar^S denote the ND and SD nuclear cores, respectively. The disagreements between different models over the Λ separation energy of the SD state in previous studies are revisited. For the p-shell Λ, four rotational bands are predicted, and the impurity effects are shown. Furthermore, two energy levels corresponding to the configurations ³⁶ Ar^S ⊗ Λ[101] ³₂⁻ and ³⁶ Ar^S ⊗ Λ[101] ¹₂⁻ are obtained below the separation threshold of ³⁶ Ar+Λ within 0.5 MeV. For the sd-shell Λ, three bound states are found near the separation threshold, and the mechanism behind these states are discussed.