Spectroscopic criteria for identification of nuclear tetrahedral and octahedral symmetries

Illustration on a rare earth nucleus

J. Dudek, D. Curien, I. Dedes, K. Mazurek, S. Tagami, Yoshifumi Shimizu, T. Bhattacharjee

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We formulate criteria for identification of the nuclear tetrahedral and octahedral symmetries and illustrate for the first time their possible realization in a rare earth nucleus Sm152. We use realistic nuclear mean-field theory calculations with the phenomenological macroscopic-microscopic method, the Gogny-Hartree-Fock-Bogoliubov approach, and general point-group theory considerations to guide the experimental identification method as illustrated on published experimental data. Following group theory the examined symmetries imply the existence of exotic rotational bands on whose properties the spectroscopic identification criteria are based. These bands may contain simultaneously states of even and odd spins, of both parities and parity doublets at well-defined spins. In the exact-symmetry limit those bands involve no E2 transitions. We show that coexistence of tetrahedral and octahedral deformations is essential when calculating the corresponding energy minima and surrounding barriers, and that it has a characteristic impact on the rotational bands. The symmetries in question imply the existence of long-lived shape isomers and, possibly, new waiting point nuclei - impacting the nucleosynthesis processes in astrophysics - and an existence of 16-fold degenerate particle-hole excitations. Specifically designed experiments which aim at strengthening the identification arguments are briefly discussed.

Original languageEnglish
Article number021302
JournalPhysical Review C
Volume97
Issue number2
DOIs
Publication statusPublished - Feb 12 2018

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rare earth elements
nuclei
group theory
symmetry
parity
nuclear fusion
astrophysics
isomers
excitation
energy

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

Spectroscopic criteria for identification of nuclear tetrahedral and octahedral symmetries : Illustration on a rare earth nucleus. / Dudek, J.; Curien, D.; Dedes, I.; Mazurek, K.; Tagami, S.; Shimizu, Yoshifumi; Bhattacharjee, T.

In: Physical Review C, Vol. 97, No. 2, 021302, 12.02.2018.

Research output: Contribution to journalArticle

Dudek, J. ; Curien, D. ; Dedes, I. ; Mazurek, K. ; Tagami, S. ; Shimizu, Yoshifumi ; Bhattacharjee, T. / Spectroscopic criteria for identification of nuclear tetrahedral and octahedral symmetries : Illustration on a rare earth nucleus. In: Physical Review C. 2018 ; Vol. 97, No. 2.
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