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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

We present an extended application of the analytic quadrupole octupole axially symmetric model, originally employed to study the octupole deformation and vibrations in light actinides using an infinite well potential (IW). In this work, we…

Nuclear Theory · Physics 2024-01-12 M. Chabab , A. El Batoul , L. El Ouaourti

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 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 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

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

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

An analytic, parameter-free (up to overall scale factors) solution of the Bohr Hamiltonian involving axially symmetric quadrupole and octupole deformations, as well as an infinite well potential, is obtained, after separating variables in a…

Nuclear Theory · Physics 2009-11-11 D. Lenis , Dennis Bonatsos

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

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

Quadrupole and octupole deformation energy surfaces, low-energy excitation spectra and transition rates in fourteen isotopic chains: Xe, Ba, Ce, Nd, Sm, Gd, Rn, Ra, Th, U, Pu, Cm, Cf, and Fm, are systematically analyzed using a theoretical…

Nuclear Theory · Physics 2017-11-22 S. Y. Xia , H. Tao , Y. Lu , Z. P. Li , T. Niksic , D. Vretenar

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 collective bands of positive and negative parity could be composed of the vibrations and rotations. The rotations of the octupole configurations can be based either on the axial or the non-axial octupole vibrations. A consistent approach…

Nuclear Theory · Physics 2018-02-21 A. Dobrowolski , K. Mazurek , A. Góźdź

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

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 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 used to describe the negative-parity band based on the first octupole vibrational…

Nuclear Theory · Physics 2010-04-14 P. G. Bizzeti , A. M. Bizzeti-Sona

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

Analytical formulas for the excitation energies as well as for the electric quadrupole reduced transition probabilities in the ground, beta and gamma bands were derived within the coherent state model for the near vibrational and well…

Nuclear Theory · Physics 2015-05-30 A. A. Raduta , R. Budaca , Amand Faessler

Low-energy positive and negative parity collective states in the equilibrium minimum, and the dynamics of induced fission of actinide nuclei are investigated in a unified theoretical framework based on the generator coordinate method (GCM)…

Nuclear Theory · Physics 2019-05-22 Jie Zhao , Jian Xiang , Zhi-Pan Li , Tamara Nikšić , Dario Vretenar , Shan-Gui Zhou
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