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The relativistic mean-field theory provides a framework in which the nuclear many-body problem is described as a self-consistent system of nucleons and mesons. In the mean-field approximation, the self-consistent time evolution of the…

Nuclear Theory · Physics 2007-05-23 Dario Vretenar

In PRL 85, 3773 (2000) it was suggested to use random polynomials to analyze and understand the properties of two-body random ensembles. In this comment we point out that for the vibron model the random polynomial is not quadratic, but has…

Nuclear Theory · Physics 2009-11-07 R. Bijker , A. Frank

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

The quantum dynamics of a dense and dipole-dipole coupled ensemble of two-level emitters interacting via their environmental thermostat is investigated. The static dipole-dipole interaction strengths are being considered strong enough but…

Quantum Physics · Physics 2024-08-12 Mihai A. Macovei

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

Assuming that the time-evolution of the self-consistent mean field is determined by five pairs of collective coordinate and collective momentum, we microscopically derive the collective Hamiltonian for low-frequency quadrupole modes of…

The collective motion of a finite nuclear system is investigated by numerical simulation and by linear response theory. Using a pseudo-particle simulation technique we analyze the giant resonances with a multipole decomposition scheme. We…

Nuclear Theory · Physics 2007-05-23 Klaus Morawetz , Uwe Fuhrmann , Rainer Walke

There is growing evidence that high-energy scattering processes involving nuclei can offer unique insights into the many-body correlations present in nuclear ground states, in particular those of deformed nuclei. These processes involve,…

Nuclear Theory · Physics 2025-04-23 Jean-Paul Blaizot , Giuliano Giacalone

The mechanism of collectivity coexisting with chaos is investigated on the quantum level. The complex spectra are represented in the basis of two-particle two-hole states describing the nuclear double-charge exchange modes in $^{48}$Ca. An…

Nuclear Theory · Physics 2009-09-25 S. Drozdz , S. Nishizaki , J. Speth , M. Wojcik

In this paper, we review the roles of collective modes in nuclear reactions. We emphaize the strong couplings of various collective states with the monopole and quadrupole motions. In inelastic excitation, these couplings can be seen as an…

Nuclear Theory · Physics 2007-05-23 Philippe Chomaz , Cedric Simenel

On the basis of time-dependent mean-field picture, we discuss the nature of the low-frequency quadrupole vibrations from small-amplitude to large-amplitude regimes as representatives of surface shape vibrations of a superfluid droplet…

Nuclear Theory · Physics 2017-08-23 Kenichi Matsuyanagi , Nobuo Hinohara , Koichi Sato

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…

We discuss the application of a theory of large-amplitude collective motion to a simple model mimicking the pairing-plus-quadrupole model of nuclear physics.

Nuclear Theory · Physics 2008-11-26 Takashi Nakatsukasa , Niels R Walet

The self-consistent harmonic oscillator model including the three-dimensional cranking term is extended to describe collective excitations in the random phase approximation. It is found that quadrupole collective excitations associated with…

Nuclear Theory · Physics 2009-11-06 W. D. Heiss , R. G. Nazmitdinov

The concept of partial symmetry is introduced for an interacting fermion system. The associated Hamiltonians are shown to be closely related to a realistic nuclear quadrupole-quadrupole interaction. An application to $^{12}$C is presented.

Nuclear Theory · Physics 2017-08-23 Jutta Escher

Given a set of collective variables, a method is proposed to obtain the associated conjugated collective momenta and masses starting from a microscopic time-dependent mean-field theory. The construction of pairs of conjugated variables is…

Nuclear Theory · Physics 2015-09-09 Yusuke Tanimura , Denis Lacroix , Guillaume Scamps

A description of a large system of particles is often sought in a derivation from the detailed behaviour of just a few of the particles. The present thesis deals with the connection between such microscopic features and the nature of a…

Soft Condensed Matter · Physics 2007-05-23 O. Sørensen

The mechanism of collectivity coexisting with chaos in a finite system of strongly interacting fermions is investigated. The complex spectra are represented in the basis of two-particle two-hole states describing the nuclear double-charge…

chao-dyn · Physics 2009-10-30 S. Drozdz , S. Nishizaki , J. Speth , M. Wojcik

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

The relativistic random phase approximation is applied in the analysis of the evolution of the isovector dipole response in nuclei with a large neutron excess. The self-consistent framework of relativistic mean-field theory, which has been…

Nuclear Theory · Physics 2009-11-07 D. Vretenar , N. Paar , P. Ring , G. A. Lalazissis