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The analytic quadrupole octupole axially symmetric model, which had successfully predicted 226Ra and 226Th as lying at the border between the regions of octupole deformation and octupole vibrations in the light actinides using an infinite…

Nuclear Theory · Physics 2015-11-23 Dennis Bonatsos , Andriana Martinou , N. Minkov , S. Karampagia , D. Petrellis

An analytic collective model in which the relative presence of the quadrupole and octupole deformations is determined by a parameter (phi_0), while axial symmetry is obeyed, is developed. The model [to be called the analytic quadrupole…

Nuclear Theory · Physics 2009-11-11 Dennis Bonatsos , D. Lenis , N. Minkov , D. Petrellis , P. Yotov

The model, introduced in a previous paper, for the description of the octupole and quadrupole degrees of freedom in conditions close to the axial symmetry, is applied to situations of shape phase transitions where the quadrupole amplitude…

Nuclear Theory · Physics 2008-11-26 P. G. Bizzeti , A. M. Bizzeti-Sona

The evolution of quadrupole and octupole collectivity and their coupling is investigated in a series of even-even isotopes of the actinide Ra, Th, U, Pu, Cm, and Cf with neutron number in the interval $130\leqslant N\leqslant 150$. The…

Nuclear Theory · Physics 2021-04-21 K. Nomura , R. Rodríguez-Guzmán , L. M. Robledo , J. E. García-Ramos

A parametrization of octupole plus quadrupole deformation, in terms of intrinsic variables defined in the rest frame of the overall tensor of inertia, is presented and discussed. The model is valid for situations close to the axial…

Nuclear Theory · Physics 2007-05-23 P. G. Bizzeti , A. M. Bizzeti-Sona

Quadrupole and octupole deformation energy surfaces, low-energy excitation spectra, and electric transition rates in eight neutron-rich isotopic chains -- Ra, Th, U, Pu, Cm, Cf, Fm, and No -- are systematically analyzed using a…

Nuclear Theory · Physics 2019-03-20 Zhong Xu , Zhi-Pan Li

We discuss the octupole deformation properties of many even-even actinide isotopes. The analysis is carried out in the mean field framework (Hartree-Fock-Bogoliubov approximation) by using the axially symmetric octupole moment as a…

Nuclear Theory · Physics 2012-09-06 L. M. Robledo , R. R. Rodriguez-Guzman

A systematic analysis of low-lying quadrupole and octupole collective states is presented, based on the microscopic energy density functional framework. By mapping the deformation constrained self-consistent axially symmetric mean-field…

Nuclear Theory · Physics 2014-02-26 K. Nomura , D. Vretenar , T. Niksic , Bing-Nan Lu

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

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

A shape phase transition between stable octupole deformation and octupole vibrations in Th nuclei is analyzed in a microscopic framework based on nuclear density functional theory. The relativistic functional DD-PC1 is used to calculate…

Nuclear Theory · Physics 2014-02-04 K. Nomura , D. Vretenar , B. -N. Lu

A collective Hamiltonian for the rotation-vibration motion of nuclei is considered, in which the axial quadrupole and octupole degrees of freedom are coupled through the centrifugal interaction. The potential of the system depends on the…

Nuclear Theory · Physics 2009-11-11 N. Minkov , P. Yotov , S. Drenska , W. Scheid , D. Bonatsos , D. Lenis , D. Petrellis

We show that the potential in the radial equation in the model of coherent quadrupole-octupole motion (CQOM) in nuclei generates a sequence of superpotentials and subsequent series of effective potentials which satisfy the shape-invariance…

Nuclear Theory · Physics 2017-05-08 N. Minkov , S. Drenska , P. Yotov

Octupole deformation and collective excitations are studied within the interacting boson model. By using the results of the self-consistent mean-field calculations with a universal energy density functional, the Hamiltonian of the…

Nuclear Theory · Physics 2023-10-26 K. Nomura

The evolution of quadrupole and octupole collectivity in neutron-deficient Xe, Ba, Ce, and Nd nuclei near the "octupole magic" neutron number $N=56$ is investigated within the mapped $sdf$-IBM framework. Microscopic input is obtained via…

Nuclear Theory · Physics 2021-12-01 K. Nomura , R. Rodríguez-Guzmán , L. M. Robledo

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

Angular momentum dependences of the parity splitting and electric dipole transitions in the alternating parity bands of heavy nuclei have been analyzed. It is shown that these dependences can be treated in a universal way with a single…

Nuclear Theory · Physics 2019-03-12 E. V. Mardyban , T. M. Shneidman , E. A. Kolganova , R. V. Jolos , S. -G. Zhou

The onset of octupole deformation and its impact on related spectroscopic properties is studied in even-even neutron-rich lanthanide isotopes Xe, Ba, Ce, and Nd with neutron number $86\leqslant N\leqslant 94$. Microscopic input comes from…

The octupole deformation of atomic nuclei is a relevant research area given its implications in the nuclear structure and fundamental physics, however, inclusion of octupole degrees of freedom in the nuclear interaction has been explored…

Nuclear Theory · Physics 2024-11-19 Alejandro Restrepo , José P. Valencia

The coherent state model (CSM) is extended so that three negative parity bands are treated on equal footing with three positive parity bands. The six rotational bands are generated by projecting out angular momenta and parities from three…

Nuclear Theory · Physics 2009-11-07 A. A. Raduta , D. Ionescu , Amand Faessler
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