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 emissions are studied by analyzing the density distributions and potentials. The excitation energies of the toroidal states at I=28, 36, 44ℏ reasonably reproduce the observed three resonances extracted from the 7-α de-excitation of 28Si. The α clustering of these toroidal states is supported by the α-localization function.
@article{arxiv.1903.07234,
title = {Toroidal states in $^{28}$Si with covariant density functional theory in 3D lattice space},
author = {Z. X. Ren and P. W. Zhao and S. Q. Zhang and J. Meng},
journal= {arXiv preprint arXiv:1903.07234},
year = {2020}
}