English

Toroidal States of the $^{12}$C Nucleus

Nuclear Theory 2020-01-01 v1

Abstract

Among the states of 12^{12}C, there is an important subset of KK=0 and KK=II planar intrinsic states in which the intrinsic motion of the nucleons are confined in the planar region defined by the three-alpha cluster or by their generated toroid. The intrinsic nuclear densities of these states are toroidal in nature. We study these 12^{12}C toroidal states from the generator-coordinate viewpoints in both the alpha cluster model and the toroidal shell model. Numerical solutions in the toroidal mean field approximation are examined to pave the way for future extensions and refinements.

Keywords

Cite

@article{arxiv.1911.11918,
  title  = {Toroidal States of the $^{12}$C Nucleus},
  author = {Cheuk-Yin Wong},
  journal= {arXiv preprint arXiv:1911.11918},
  year   = {2020}
}

Comments

10 pages, 2 figures, Talk presented at the International Workshop on Shapes and Dynamics of Atomic Nuclei at the Bulgarian Academy of Sciences, Sofia, Bulgaria, 3-5 October, 2019, to be published in the Proceedings in the Bulgarian Journal of Physics