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

Shingo Tagami, Yoshifumi R. Shimizu, Jerzy Dudek

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25 Citations (Scopus)

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.

Original languageEnglish
Article number054306
JournalPhysical Review C - Nuclear Physics
Volume87
Issue number5
DOIs
Publication statusPublished - May 7 2013

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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