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A particle-core Hamiltonian is used to describe the lowest parity partner bands $K^{\pi}=1/2^{\pm}$ in $^{219}$Ra, $^{237}$U and $^{239}$Pu, and three parity partner bands, $K^{\pi}=1/2^{\pm}, 3/2^{\pm}, 5/2^{\pm}$, in $^{227}$Ra. The core…

Nuclear Theory · Physics 2009-08-27 A. A. Raduta , C. M. Raduta , Amand Faessler

A particle-core Hamiltonian is used to describe the lowest parity partner bands $K^{\pi}=1/2^{\pm}$ in $^{237}$U and $^{239}$Pu. The quadrupole and octupole boson Hamiltonian associated to the core is identical to the one previously used…

Nuclear Theory · Physics 2015-05-13 A. A. Raduta , C. M. Raduta

The extended coherent state model is further extended in order to describe two dipole bands of different parities. The formalism provides a consistent description of eight rotational bands. A unified description for spherical, transitional…

Nuclear Theory · Physics 2009-11-11 A. A. Raduta , Al. H. Raduta , C. M. Raduta

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

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

A time dependent variational principle is used to dequantize a second order quadrupole boson Hamiltonian. The classical equations for the generalized coordinate and the constraint for angular momentum are quantized and then analytically…

Nuclear Theory · Physics 2015-03-14 A. A. Raduta , R. Budaca , Amand Faessler

A scheme of solving the proton-neutron interacting boson model (IBM-2) in terms of the SU(3) basis is introduced, by which the IBM-2 coupled with an octupole boson is applied to describe the low-energy structure of the critical point…

Nuclear Theory · Physics 2023-02-22 Bao-Yue Hu , Yu Zhang , Gui-Xiu Na , Sheng-Nan Wang , Wei Teng

Collective quadrupole and octupole states are described in a series of Sm and Gd isotopes within the framework of the interacting boson model (IBM), whose Hamiltonian parameters are deduced from mean field calculations with the Gogny energy…

Nuclear Theory · Physics 2015-07-20 K. Nomura , R. Rodríguez-Guzmán , L. M. Robledo

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

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

We propose a collective model formalism which describes the strong parity shift observed in low-lying spectra of nuclei with octupole deformations together with the fine rotational band structure developed at higher angular momenta. The…

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

The Interacting Boson Model with broken-pairs has been extended to include mixed proton-neutron configurations in the fermion model space. The extended version of the model has been used to describe high-spin bands in the transitional…

Nuclear Theory · Physics 2008-11-26 D. Vretenar , S. Brant , G. Bonsignori , L. Corradini , C. M. Petrache

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

The pheomenological Generalized Coherent State Model Hamiltonian is amended with a many body term describing a set of nucleons moving in a shell model mean-field and interacting among themselves with paring, as well as with a particle-core…

Nuclear Theory · Physics 2016-03-08 A. A. Raduta , Al. H. Raduta , C. M. Petrache

A geometric analysis of the $sdg$ interacting boson model is performed. A coherent-state is used in terms of three types of deformation: axial quadrupole ($\beta_2$), axial hexadecapole ($\beta_4$) and triaxial ($\gamma_2$). The…

Nuclear Theory · Physics 2015-05-14 P. Van Isacker , A. Bouldjedri , S. Zerguine

To a phenomenological core described by the Generalized Coherent State Model a set of interacting particles are coupled. Among the particle-core states one identifies a finite set which have the property that the angular momenta carried by…

Nuclear Theory · Physics 2014-07-21 A. A. Raduta , C. M. Raduta

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

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 mechanism of backbending is semi-phenomenologically investigated based on the hybridization of two rotational bands. These bands are defined by treating a model Hamiltonian describing two interacting subsystems: a set of particles…

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

The interacting boson model is extended to describe the spectroscopy of superdeformed bands. Microscopic structure of the model in the second minimum is discussed and superdeformed bosons are introduced as the new building blocks. Solutions…

Nuclear Theory · Physics 2009-09-25 S. Kuyucak , M. Honma , T. Otsuka
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