Microscopic study of higher-order deformation effects on the ground states of superheavy nuclei around ²⁷⁰Hs *

Abstract We investigate the effects of higher-order deformations ( $\lambda=4,6,8,$?> and 10) on ground state properties superheavy nuclei (SHN) near doubly magic deformed nucleus $^{270}{\rm{Hs}}$?> using multidimensionally-constrained relativistic mean-field (MDC-RMF) model with five effective interactions: PC-PK1, PK1, NL3 * , DD-ME2, PKDD. The include large energy gaps at $N=162$?> $Z=108$?> in single-particle spectra. By investigating binding energies levels multidimensional deformation space, we find that, among these deformations, $\beta_6$?> has greatest impact influences shell considerably. Similar conclusions hold for other SHN . Our calculations demonstrate that must be considered when studying MDC-RMF.