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Based on bond arguments, a Hamiltonian is introduced to describe the fundamental physics of the collective rotations of oxygen atoms in oxides. Values for the relevant material parameters are estimated for silica and Cu oxides.…

Condensed Matter · Physics 2007-05-23 Emilio Artacho , Kanwal G. Singh , Guillermo Gomez-Santos

The five-dimensional quadrupole collective model based on energy density functionals (EDF) has often been employed to treat long-range correlations associated with shape fluctuations in nuclei. Our goal is to derive the collective inertial…

Nuclear Theory · Physics 2017-11-08 Kouhei Washiyama , Takashi Nakatsukasa

We examine the global performance of an extended self-consistent mean field theory of 2+ excitations in even-even nuclei. 518 nuclei are included in our survey, comprising all but 39 of the known nuclei tabulated by Raman et al. The theory…

Nuclear Theory · Physics 2008-11-26 G. F. Bertsch , M. Girod , S. Hilaire , J. -P. Delaroche , H. Goutte , S. Pe'ru

The framework of relativistic energy density functionals is extended to include correlations related to restoration of broken symmetries and fluctuations of collective variables. A new implementation is developed for the solution of the…

Nuclear Theory · Physics 2009-04-28 T. Niksic , Z. P. Li , D. Vretenar , L. Prochniak , J. Meng , P. Ring

We present a new expression for the energy of the lowest collective states in even-even nuclei throughout the entire periodic table. Our empirical formula is extremely valid and holds universally for all of the natural parity even multipole…

Nuclear Theory · Physics 2008-11-26 Doohwan Kim , Eunja Ha , Dongwoo Cha

Quadrupole transition densities in neutron-rich nuclei in the vicinity of the neutron drip-line are calculated in the framework of the Random Phase Approximation. The continuum is treated by expansion in oscillator functions. We focus on…

Nuclear Theory · Physics 2009-10-30 F. Catara , E. G. Lanza , M. A. Nagarajan , A. Vitturi

The coupled dynamics of low lying modes, including the scissors mode, and various giant quadrupole resonances are studied with the help of the Wigner Function Moments method generalized to take into account spin degrees of freedom.…

Nuclear Theory · Physics 2015-05-28 E. B. Balbutsev , I. V. Molodtsova , P. Schuck

Collective low lying levels of light and medium Xenon isotopes are deduced from the Generalized Bohr Hamiltonian (GBH). The microscopic seven functions entering into the GBH are built from a deformed mean field of the Woods-Saxon type.…

Nuclear Theory · Physics 2015-06-04 B. Mohammed-Azizi , D. E. Medjadi

The nuclear quadrupole collective states at low excitation energies are described in a novel, fully quantum mechanical and systematic manner as compared to traditional pictures initiated by Aage Bohr. The ellipsoidal shapes are shown to be…

Nuclear Theory · Physics 2025-10-07 Takaharu Otsuka

Exact numerical diagonalization of the Bohr Hamiltonian by SU(1,1)xSO(5) methods is used to obtain detailed quantitative predictions for single-phonon and multi-phonon excitations in well-deformed rotor nuclei. Dynamical gamma deformation…

Nuclear Theory · Physics 2009-04-15 M. A. Caprio

We present a microscopic analysis of the collective behaviour of the lead isotopes in the vicinity of Pb208. In this study, we rely on a coherent approach based on the Generator Coordinate Method including exact projection on N and Z…

Nuclear Theory · Physics 2009-11-07 P. -H. Heenen , A. Valor , M. Bender , P. Bonche , H. Flocard

Collective excitations of N = 1 supersymmetric electromagnetic plasma are studied. Since the Keldysh-Schwinger approach is used, not only equilibrium but also non-equilibrium plasma, which is assumed to be ultrarelativistic, is under…

High Energy Physics - Theory · Physics 2011-02-15 Alina Czajka , Stanislaw Mrowczynski

We have developed a new method for determining microscopically the fivedimensional quadrupole collective Hamiltonian, on the basis of the adiabatic self-consistent collective coordinate method. This method consists of the constrained…

The collective structure of atomic nuclei intermediate between spherical and quadrupole deformed structure presents challenges to theoretical understanding. However, models have recently been proposed in terms of potentials which are soft…

Nuclear Experiment · Physics 2020-01-07 M. A. Caprio

Based on the minimal length concept, inspired by Heisenberg algebra, a closed analytical formula is derived for the energy spectrum of the prolate {\gamma}-rigid Bohr-Mottelson Hamiltonian of nuclei, within a quantum perturbation method…

Nuclear Theory · Physics 2018-03-19 M. Chabab , A. El Batoul , A. Lahbas , M. Oulne

Parity and time invariance violating forces produce collective P- and T- odd moments in nuclei with static octupole deformation. Collective Schiff moment, electric octupole and dipole and also magnetic quadrupole appear due to the mixing of…

Nuclear Theory · Physics 2009-01-23 N. Auerbach , V. V. Flambaum , V. Spevak

An overview of a microscopic framework based on the Hartree-Fock description of the mean field is presented which, starting from an effective interaction allows a description of collective motions. A study of the isotope shifts in the Pb…

Spectroscopic properties that characterize the shape phase transitions in krypton isotopes with the mass $A\approx80$ region are investigated within the framework of the nuclear density functional theory. Triaxial quadrupole constrained…

Nuclear Theory · Physics 2022-07-01 K. E. Karakatsanis , K. Nomura

We conduct a systematic investigation of the nuclear collective dynamics that emerges in systems with random two-body interactions. We explore the development of the mean field and study its geometry. We investigate multipole collectivities…

Nuclear Theory · Physics 2011-09-02 Volha Abramkina , Alexander Volya

The collective excitation phenomena in atomic nuclei are studied in two different formulations of the Random Phase Approximation (RPA): (i) RPA based on correlated realistic nucleon-nucleon interactions constructed within the Unitary…

Nuclear Theory · Physics 2009-11-11 N. Paar , P. Papakonstantinou , H. Hergert , R. Roth
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