Toroidal states in 28Si with covariant density functional theory in 3D lattice space

Abstract

The toroidal states in 28Si with spin extending to extremely high are investigated with the cranking covariant density functional theory on a 3D lattice. Thirteen toroidal states with spin I ranging from 0 to 56ħ are obtained, and their stabilities against particle emission are studied by analyzing the density distributions and potentials. The excitation energies of the toroidal states at I=28, 36, and 44ħ reasonably reproduce the observed three resonances extracted from the seven-α de-excitation of 28Si. The possible existence of α clustering in these toroidal states is discussed based on α-localization function.