Beyond-mean-field study of Ar based on the Skyrme-Hartree-Fock model * *Supported by the National NaturalScience Foundation of China (11905165, 11775081,12175071, 11547044), the 111 Project (B17035), andthe Fundamental Research Funds for the Central Universities(JB160510, XJS18020).

Abstract

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