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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

We present a beyond mean-field study of clusters and molecular structures in low-spin states of $^{20}$Ne with a multireference relativistic energy density functional, where the dynamical correlation effects of symmetry restoration and…

Nuclear Theory · Physics 2017-03-08 E. F. Zhou , J. M. Yao , Z. P. Li , J. Meng , P. Ring

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 variable combination of realistic and random two-body interactions allows the study of collective properties, such as the energy spectra and B(E2) transition strengths in 44Ti, 48Cr and 24Mg. It is found that the average energies of the…

Nuclear Theory · Physics 2009-11-07 V. Velazquez , J. G. Hirsch , A. Frank , A. P. Zuker

A general form of the octupole collective Hamiltonian is introduced and analyzed based on fundamental tensors in the seven-dimensional tensor space. Possible definitions of intrinsic frames of reference possessing cubic symmetry for the…

Nuclear Theory · Physics 2018-02-07 S. G. Rohozinski , L. Prochniak

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

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

The projected multi-dimensionally-constrained relativistic Hartree-Bogoliubov model was employed to calculate the potential energy surface of the high-spin states in $^{56}\text{Ni}$. It is pointed out for the first time that possible…

Nuclear Theory · Physics 2025-02-11 Xiao Lu , Shivani Jain , Hiroyuki Sagawa , Shan-Gui Zhou

The generalized Bohr Hamiltonian is applied to a description of low-lying collective excitations in even-even isotopes of Te, Xe, Ba, Ce, Nd and Sm. The collective potential and inertial functions are determined by means of the Strutinsky…

Nuclear Theory · Physics 2009-11-05 L. Prochniak , K. Zajac , K. Pomorski , S. G. Rohozinski , J. Srebrny

The redistribution of energy levels between energy bands is studied for a family of simple effective Hamiltonians depending on one control parameter and possessing axial symmetry and energy-reflection symmetry. Further study is made on the…

Quantum Physics · Physics 2017-07-14 Guillaume Dhont , Toshihiro Iwai , Boris Zhilinskii

On the basis of the adiabatic self-consistent collective coordinate method, we develop an efficient microscopic method of deriving the five-dimensional quadrupole collective Hamiltonian and illustrate its usefulness by applying it to the…

The effect of coupling between pairing and quadrupole triaxial shape vibrations on the low-energy collective states of $\gamma$-soft nuclei is investigated using a model based on the framework of nuclear energy density functionals (EDFs).…

Nuclear Theory · Physics 2021-08-23 K. Nomura , D. Vretenar , Z. P. Li , J. Xiang

From a viewpoint of oblate-prolate symmetry and its breaking, we adopt the quadrupole collective Hamiltonian to study dynamics of triaxial deformation in shape coexistence phenomena. It accommodates the axially symmetric rotor model, the…

Experimental data indicate that the mass tensor of collective Bohr Hamiltonian cannot be considered as a constant but should be considered as a function of the collective coordinates. In this work our purpose is to investigate the…

Nuclear Theory · Physics 2020-03-17 M. Chabab , A. El Batoul , I. El-ilali , A. Lahbas , M. Oulne

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

Collective motion is a manifestation of emergent phenomena in medium-heavy and heavy nuclei. A relatively large number of constituent nucleons contribute coherently to nuclear excitations (vibrations, rotations) that are characterized by…

Nuclear Theory · Physics 2022-03-18 Z. P. Li , D. Vretenar

An exactly separable version of the Bohr Hamiltonian which combines the $\gamma$-stable and $\gamma$-rigid axial vibration-rotation is used to describe the collective properties of few neutron rich transitional nuclei. The coupling between…

Nuclear Theory · Physics 2015-10-29 R. Budaca , A. I. Budaca

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

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

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