Microscopic study of higher-order deformation effects on the ground states of superheavy nuclei around 270Hs * *Supporteds by the National Key R&D Program of China (2018YFA0404402), the National Natural Science Foundation of China (11525524, 12070131001, 12047503, 11975237, 11961141004), the Key Research Program of Frontier Sciences of Chinese Academy of Sciences (QYZDB-SSWSYS013), the Strategic Priority Research Program of Chinese Academy of

Abstract

We investigate the effects of higher-order deformations ( and 10) on the ground state properties of superheavy nuclei (SHN) near the doubly magic deformed nucleus using the multidimensionally-constrained relativistic mean-field (MDC-RMF) model with five effective interactions: PC-PK1, PK1, NL3*, DD-ME2, and PKDD. The doubly magic properties of include large energy gaps at and in the single-particle spectra. By investigating the binding energies and single-particle levels of in the multidimensional deformation space, we find that, among these higher-order deformations, the deformation has the greatest impact on the binding energy and influences the shell gaps considerably. Similar conclusions hold for other SHN near . Our calculations demonstrate that the deformation must be considered when studying SHN using MDC-RMF.