Beyond-mean-field study of Λ37Ar based on the Skyrme-Hartree-Fock model

Authors：Cui, Ji-Wei; Wang, Ruizhe; Zhou, Xian-Rong^*

Source：Chinese Physics C, 2022, 46(7): 074109.

DOI：10.1088/1674-1137/ac6357

• Lambda hypernuclei
• Skyrme-Hartree-Fock model
• gamma transitions
• beyond-mean-field calculation

We present the hypernuclear states of Ar-37(Lambda) 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 hyperon occupies the s-, p-, or sd-shell orbitals are discussed. For the s-shell Lambda, we pay special attention to the ND and SD states corresponding to the configurations Ar-36(N) circle times s(Lambda) and Ar-36(S) circle times s(Lambda), where Ar-36(N) and Ar-36(S) denote the ND and SD nuclear cores, respectively. The disagreements between different models over the Lambda separation energy of the SD state in previous studies are revisited. For the p-shell Lambda, four rotational bands are predicted, and the impurity effects are shown. Furthermore, two energy levels corresponding to the configurations Ar-36(S) circle times Lambda[101]3/2(-) and Ar-36(S) circle times Lambda[101]1/2(-) are obtained below the separation threshold of Ar-36+Lambda within 0.5 MeV. For the sd-shell Lambda, three bound states are found near the separation threshold, and the mechanism behind these states are discussed.

• Institution
  西安电子科技大学