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 language | English |
|---|---|
| Article number | 021302 |
| Journal | Physical Review C |
| Volume | 97 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Feb 12 2018 |
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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 journal › Article
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TY - JOUR
T1 - Spectroscopic criteria for identification of nuclear tetrahedral and octahedral symmetries
T2 - Illustration on a rare earth nucleus
AU - Dudek, J.
AU - Curien, D.
AU - Dedes, I.
AU - Mazurek, K.
AU - Tagami, S.
AU - Shimizu, Yoshifumi
AU - Bhattacharjee, T.
PY - 2018/2/12
Y1 - 2018/2/12
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevC.97.021302
DO - 10.1103/PhysRevC.97.021302
M3 - Article
VL - 97
JO - Physical Review C
JF - Physical Review C
SN - 2469-9985
IS - 2
M1 - 021302
ER -