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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

Quadrupole excitations of even-even Ru and Pd isotopes are described within microscopic approach based on the general collective Bohr model which includes the effect of coupling with the pairing vibrations. The excitation energies and E2…

Nuclear Theory · Physics 2009-10-31 K. Zajac , L. Prochniak , K. Pomorski , S. G. Rohozinski , J. Srebrny

Eigenfunctions of the collective Bohr Hamiltonian with the Morse potential have been obtained by using the Asymptotic Iteration Method (AIM) for both gamma-unstable and rotational structures. B(E2) transition rates have been calculated and…

Nuclear Theory · Physics 2015-05-30 I. Inci , D. Bonatsos , I. Boztosun

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

Microscopic energy density functionals (EDF) have become a standard tool for nuclear structure calculations, providing an accurate global description of nuclear ground states and collective excitations. For spectroscopic applications this…

Nuclear Theory · Physics 2011-08-04 K. Nomura , T. Niksic , T. Otsuka , N. Shimizu , 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

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

The phenomenological classification of collective quadrupole excitations by means of the Bohr Hamiltonian is reviewed with focus on signatures for triaxility. The variants of the microscopic Bohr Hamiltonian derived by means of the…

Nuclear Theory · Physics 2015-10-28 S. Frauendorf

In the frame of the algebraic Riemann Rotational Model one computes the longitudinal, transverse and toroidal multipoles corresponding to the excitations of low-lying levels in the ground state band of several even-even nuclei by inelastic…

Nuclear Theory · Physics 2009-10-28 S. Misicu

A collective model is proposed to describe the chiral rotation and vibration and applied to a system with one $h_{11/2}$ proton particle and one $h_{11/2}$ neutron hole coupled to a triaxial rigid rotor. The collective Hamiltonian is…

Nuclear Theory · Physics 2013-02-26 Q. B. Chen , S. Q. Zhang , P. W. Zhao , R. V. Jolos , J. Meng

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 intraband electromagnetic transitions in the framework of collective Hamiltonian for chiral and wobbling modes are calculated. By going beyond the mean field approximation on the orientations of rotational axis, the collective…

Nuclear Theory · Physics 2021-06-08 X. H. Wu , Q. B. Chen , P. W. Zhao , S. Q. Zhang , J. Meng

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

Calculations to reconstruct rotational level patterns in the $^{220}$Rn and $^{226}$Ra nuclei have been performed using a collective quadrupole+octupole approach with microscopic mass tensor and moments of inertia dependent on deformation…

Nuclear Theory · Physics 2025-07-02 Artur Dobrowolski , Katarzyna Mazurek , Krzysztof Pomorski

Low-energy structure of even-even $^{108-116}$Cd isotopes is analyzed using a collective model that is based on the nuclear density functional theory. Spectroscopic properties are computed by solving the triaxial quadrupole collective…

Nuclear Theory · Physics 2022-12-19 K. Nomura , K. E. Karakatsanis

Dependence of the kinetic energy term of the collective nuclear Hamiltonian on collective momentum is considered. It is shown that the fourth order in collective momentum term of the collective quadrupole Hamiltonian generates a sizable…

Nuclear Theory · Physics 2017-04-14 R. V. Jolos , E. A. Kolganova

The quadrupole collective Hamiltonian, based on relativistic energy density functionals, is extended to include a pairing collective coordinate. In addition to quadrupole shape vibrations and rotations, the model describes pairing…

Nuclear Theory · Physics 2020-07-01 J. Xiang , Z. P. Li , T. Niksic , D. Vretenar , W. H. Long

A detailed derivation of the collisional widths of collective vibrations is presented in both quantal and semi-classical frameworks by considering the linearized limits of the extended TDHF and the BUU model with a non-Markovian binary…

Nuclear Theory · Physics 2008-11-26 S. Ayik , O. Yilmaz , A. Gokalp , P. Schuck

Low-lying quadrupole shape dynamics is a typical manifestation of large amplitude collective motion in finite nuclei. To describe the dynamics on a microscopic foundation, we have formulated a consistent scheme in which the Bohr collective…

Nuclear Theory · Physics 2015-06-18 M. Matsuo , N. Hinohara , K. Sato , K. Matsuyanagi , T. Nakatsukasa , K. Yoshida

Isotope shifts of the mean square radii (MSR) and electric quadrupole moments of even-even nuclei with 20< Z < 98$ are calculated using a dynamical microscopic model. A single particle Nilsson potential with the Seo set of correction term…

Nuclear Theory · Physics 2009-09-25 Bozena Nerlo-Pomorska , Beata Mach
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