English

Microscopic study of tetrahedrally symmetric nuclei by an angular-momentum and parity projection method

Nuclear Theory 2015-06-12 v3

Abstract

We study the properties of the nuclear rotational excitations with hypothetical tetrahedral symmetry by employing the microscopic mean-field and residual-interaction Hamiltonians with angular-momentum and parity projection method; we focus on the deformed nuclei with tetrahedral doubly-closed shell configurations. We find that for pure tetrahedral deformation the obtained excitation patterns satisfy the characteristic features predicted by group-representation theory applied to the tetrahedral symmetry group. We find that a gradual transition from the approximately linear to the characteristic rigid-rotor, parabolic energy-vs.-spin dependence occurs as a function of the tetrahedral deformation parameter. The form of this transition is compared with the similar well-known transition in the case of quadrupole deformation.

Keywords

Cite

@article{arxiv.1301.3279,
  title  = {Microscopic study of tetrahedrally symmetric nuclei by an angular-momentum and parity projection method},
  author = {Shingo Tagami and Yoshifumi R. Shimizu and Jerzy Dudek},
  journal= {arXiv preprint arXiv:1301.3279},
  year   = {2015}
}

Comments

The title is changed and some trivial mistakes are corrected