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The possibility of the existence of stable tetrahedral deformations at spin zero is investigated using the Skyrme-HFBCS approach and the generator coordinate method (GCM). The study is limited to nuclei in which the tetrahedral mode has…

Nuclear Theory · Physics 2009-04-28 Krzysztof Zberecki , Paul-Henri Heenen , Piotr Magierski

Octupole excitations of atomic nuclei can be viewed as fluctuations around an equilibrium shape. These fluctuations in turn can be seen as probes of nuclear matter properties to the extent that the shape changes explore changes in…

Nuclear Theory · Physics 2026-04-13 Khlood Alharthi , Paul Stevenson

As a follow up of [Phys. Scr. 99 055305 (2024)], where we studied axial octupole shapes in two-quasiparticle states of even-even nuclei, we investigate this type of shapes in odd-mass and odd-odd well-deformed nuclei, using the…

Nuclear Theory · Physics 2025-12-23 N. Kontowicz , L. Bonneau , J. Bartel , H. Molique , N. Minkov , M. -H. Koh

Axial octupole and tetrahedral correlations in $^{80}$Zr and $^{98}$Zr have been investigated using the generator coordinate method, applied to a basis generated by Skyrme HF+BCS calculations. We focus on the possible presence of states…

Nuclear Theory · Physics 2009-11-11 K. Zberecki , P. Magierski , P. -H. Heenen , N. Schunck

The dynamics of nuclear collective motion is investigated in the case of reflection-asymmetric shapes. The model is based on a new parameterization of the octupole and quadrupole degrees of freedom, valid for nuclei close to the axial…

Nuclear Theory · Physics 2009-11-10 P. G. Bizzeti , A. M. Bizzeti-Sona

A systematic search for axial octupole deformation in the actinides and superheavy nuclei with proton numbers $Z=88-126$ and neutron numbers from two-proton drip line up to $N=210$ has been performed in covariant density functional theory…

Nuclear Theory · Physics 2017-10-18 S. E. Agbemava , A. V. Afanasjev

The degrees of freedom associated with shape fluctuations and space orientation of atomic nuclei are analyzed with effective forces and large configuration spaces. A pedagogical theoretical introduction to the topic of symmetries…

Nuclear Theory · Physics 2017-01-25 J. L. Egido , L. M. Robledo

We study static non-axial octupole deformations in proton-rich $Z=N$ nuclei, $^{64}$Ge, $^{68}$Se, $^{72}$Kr, $^{76}$Sr, $^{80}$Zr and $^{84}$Mo, by using the Skyrme Hartree-Fock plus BCS calculation with no restrictions on the nuclear…

Nuclear Theory · Physics 2009-10-30 S. Takami , K. Yabana , M. Matsuo

We have performed a systematic study of the ground state for even-even 1,002 nuclei in which 28 octupole-deformed nuclei are found. The interplay between the spatial deformation and the pairing correlation, plays important roles in nuclear…

Nuclear Theory · Physics 2017-07-25 Shuichiro Ebata , Takashi Nakatsukasa

Background: Properties of giant dipole resonances, along with other nuclear resonances, provide valuable tools for refining theoretical models as they reflect collective features of nuclear matter. Among such collective phenomena is…

Nuclear Theory · Physics 2026-04-24 Manu Kanerva , Markus Kortelainen

The evolution of quadrupole and octupole shapes in Th isotopes is studied in the framework of nuclear Density Functional Theory. Constrained energy maps and observables calculated with microscopic collective Hamiltonians indicate the…

Nuclear Theory · Physics 2015-06-15 Z. P. Li , B. Y. Song , J. M. Yao , D. Vretenar , J. Meng

We investigate the stability and softness of nuclei against quadrupole, octupole, and hexadecapole deformation. By applying the spherical Skyrme-force Hartree-Fock Bardeen-Cooper-Schrieffer quasi-particle random phase approximation, we…

Nuclear Theory · Physics 2026-02-16 Le-Anh Nguyen , Minh-Loc Bui , Panagiota Papakonstantinou , Naftali Auerbach

Evolution of quadrupole deformations in $sd$ and $pf$ shell nuclei with mass A= 18$\sim$56 is studied by using deformed Skyrme Hartree-Fock (HF) model with pairing correlations. We point out that the quadrupole deformations of the nuclei…

Nuclear Theory · Physics 2009-11-11 H. Sagawa , X. R. Zhou , X. Z. Zhang

The deformation parameters beta and gamma together with the two-quasiparticle excitations are taken into account, for the first time, as coordinates within a symmetry conserving (angular momentum and particle number) generator coordinate…

Nuclear Theory · Physics 2017-02-22 Fang-Qi Chen , J. Luis Egido

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…

Nuclear Theory · Physics 2015-06-12 Shingo Tagami , Yoshifumi R. Shimizu , Jerzy Dudek

Recent high-energy heavy ion collision experiments have revealed that some atomic nuclei exhibit unusual softness and significant shape fluctuations. In this work, we use the fully self-consistent mean-field theory to identify all even-even…

Nuclear Theory · Physics 2026-02-16 Minh-Loc Bui , Le-Anh Nguyen , Panagiota Papakonstantinou , Naftali Auerbach

Elastic electron scattering from oriented odd-Aaxially deformed nuclei is studied in the plane-wave Born approximation. The nuclear structure is described within a microscopic selfconsistent Skyrme deformed Hartree-Fock approximation with…

Nuclear Theory · Physics 2023-01-11 Pedro Sarriguren

We analyze the octupole deformations and the related collective excitations in medium-heavy and heavy nuclei based on the microscopic framework of the nuclear energy density functional theory. Constrained self-consistent mean-field…

Nuclear Theory · Physics 2021-02-03 Kosuke Nomura

The nature of octupole deformation, whether static or vibrational, remains an open question in nuclear physics. Here, we propose a scaling approach to probe this ambiguity by triangular flow fluctuations using multi-particle cumulants,…

Nuclear Theory · Physics 2025-09-12 Lumeng Liu , Chunjian Zhang , Jinhui Chen , Jiangyong Jia , Xu-Guang Huang , Yu-Gang Ma

Octupole deformations and related collective excitations are analyzed using the framework of nuclear density functional theory. Axially-symmetric quadrupole-octupole constrained self-consistent mean-field (SCMF) calculations with a choice…

Nuclear Theory · Physics 2021-05-05 K. Nomura , L. Lotina , T. Nikšić , D. Vretenar
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