### Abstract

We report on the results of the calculations of the low energy excitation patterns for three Zirconium isotopes, viz ^{80}Zr_{40}, ^{96}Zr_{56} and ^{110}Zr_{70}, reported by other authors to be doubly-magic tetrahedral nuclei (with tetrahedral magic numbers Z = 40 and N = 40, 56 and 70). We employ the realistic Gogny effective interactions using three variants of their parametrization and the particle-number, parity and the angular-momentum projection techniques. We confirm quantitatively that the resulting spectra directly follow the pattern expected from the group theory considerations for the tetrahedral symmetric quantum objects. We also find out that, for all the nuclei studied, the correlation energy obtained after the angular momentum projection is very large for the tetrahedral deformation as well as other octupole deformations. The lowering of the energies of the resulting configurations is considerable, i.e. by about 10 MeV or even more, once again confirming the significance of the angular-momentum projections techniques in the mean-field nuclear structure calculations.

Original language | English |
---|---|

Article number | 015106 |

Journal | Journal of Physics G: Nuclear and Particle Physics |

Volume | 42 |

Issue number | 1 |

DOIs | |

Publication status | Published - Jan 1 2015 |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Cite this

*Journal of Physics G: Nuclear and Particle Physics*,

*42*(1), [015106]. https://doi.org/10.1088/0954-3899/42/1/015106

**Tetrahedral symmetry in Zr nuclei : Calculations of low-energy excitations with Gogny interaction.** / Tagami, Shingo; Shimizu, Yoshifumi; Dudek, Jerzy.

Research output: Contribution to journal › Article

*Journal of Physics G: Nuclear and Particle Physics*, vol. 42, no. 1, 015106. https://doi.org/10.1088/0954-3899/42/1/015106

}

TY - JOUR

T1 - Tetrahedral symmetry in Zr nuclei

T2 - Calculations of low-energy excitations with Gogny interaction

AU - Tagami, Shingo

AU - Shimizu, Yoshifumi

AU - Dudek, Jerzy

PY - 2015/1/1

Y1 - 2015/1/1

N2 - We report on the results of the calculations of the low energy excitation patterns for three Zirconium isotopes, viz 80Zr40, 96Zr56 and 110Zr70, reported by other authors to be doubly-magic tetrahedral nuclei (with tetrahedral magic numbers Z = 40 and N = 40, 56 and 70). We employ the realistic Gogny effective interactions using three variants of their parametrization and the particle-number, parity and the angular-momentum projection techniques. We confirm quantitatively that the resulting spectra directly follow the pattern expected from the group theory considerations for the tetrahedral symmetric quantum objects. We also find out that, for all the nuclei studied, the correlation energy obtained after the angular momentum projection is very large for the tetrahedral deformation as well as other octupole deformations. The lowering of the energies of the resulting configurations is considerable, i.e. by about 10 MeV or even more, once again confirming the significance of the angular-momentum projections techniques in the mean-field nuclear structure calculations.

AB - We report on the results of the calculations of the low energy excitation patterns for three Zirconium isotopes, viz 80Zr40, 96Zr56 and 110Zr70, reported by other authors to be doubly-magic tetrahedral nuclei (with tetrahedral magic numbers Z = 40 and N = 40, 56 and 70). We employ the realistic Gogny effective interactions using three variants of their parametrization and the particle-number, parity and the angular-momentum projection techniques. We confirm quantitatively that the resulting spectra directly follow the pattern expected from the group theory considerations for the tetrahedral symmetric quantum objects. We also find out that, for all the nuclei studied, the correlation energy obtained after the angular momentum projection is very large for the tetrahedral deformation as well as other octupole deformations. The lowering of the energies of the resulting configurations is considerable, i.e. by about 10 MeV or even more, once again confirming the significance of the angular-momentum projections techniques in the mean-field nuclear structure calculations.

UR - http://www.scopus.com/inward/record.url?scp=84916611845&partnerID=8YFLogxK

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U2 - 10.1088/0954-3899/42/1/015106

DO - 10.1088/0954-3899/42/1/015106

M3 - Article

VL - 42

JO - Journal of Physics G: Nuclear and Particle Physics

JF - Journal of Physics G: Nuclear and Particle Physics

SN - 0954-3899

IS - 1

M1 - 015106

ER -