The nuclear collective motion

Nazarewicz, W.

doi:10.1007/3-540-44620-6_4

Cited by 8 publications

(8 citation statements)

References 126 publications

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“…To understand the connection between the LMG model and realistic nuclear models, it is interesting to identify the structure of its eigenstates [11]. In the limit of vanishing interaction strength V = 0, the exact ground state corresponds to an independent particle state with all the lower singleparticle levels occupied, while the exact first excited state is given by a 1p-1h excitation on top of the ground state, the second excited state by 2p-2h excitations, etc.…”

Section: A the Modelmentioning

confidence: 99%

Beyond mean field study of excited states: Analysis within the Lipkin model

2006

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Section: A the Modelmentioning

confidence: 99%

Beyond mean field study of excited states: Analysis within the Lipkin model

2006

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“…as conditions for the existence of PO manifolds, where we introduced χ n = p n−1 +2µp n + p n+1 , compare also with (16). The above conditions fix uniquely (up to an addition of factors (4J) −1 2πk n , k n ∈ Z) the variables χ n , but not necessarily the p n .…”

Section: Kicked Spin Chain Model For V =mentioning

confidence: 99%

“…These systems possess several distinct dynamical features which set them apart from the single particle case. One of them is the possibility of collective dynamics which is found in countless physical systems, ranging from Bose Einstein condensation [13,14] over superparamagnetism [15] to nuclei [16,17,18,19]. This phenomenon can appear only when the system possesses a significant number of particles N .…”

Section: Introductionmentioning

confidence: 99%

Semiclassical prediction of large spectral fluctuations in interacting kicked spin chains

et al. 2018

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While plenty of results have been obtained for single-particle quantum systems with chaotic dynamics through a semiclassical theory, much less is known about quantum chaos in the many-body setting. We contribute to recent efforts to make a semiclassical analysis of many-body systems feasible. This is nontrivial due to both the enormous density of states and the exponential proliferation of periodic orbits with the number of particles. As a model system we study kicked interacting spin chains employing semiclassical methods supplemented by a newly developed duality approach. We show that for this model the line between integrability and chaos becomes blurred. Due to the interaction structure the system features (non-isolated) manifolds of periodic orbits possessing highly correlated, collective dynamics. As with the invariant tori in integrable systems, their presence lead to significantly enhanced spectral fluctuations, which by order of magnitude lie in-between integrable and chaotic cases.

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“…The observation of rotational bands in atomic nuclei has provided us with many insights on nuclear deformations and the underlying shell structure [1][2][3][4]. Theoretically, high-spin states can be described in a fully self-consistent way by the nuclear energy density functional (EDF) method [5], which is closely related to density functional theory [6,7].…”

Section: Introductionmentioning

confidence: 99%

Nucleon localization function in rotating nuclei

Li,

Chen,

Zhang

et al. 2020

Preprint

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Background: An electron localization function was originally introduced to visualize in positional space bond structures in molecules. It became a useful tool to describe electron configurations in atoms, molecules, and solids. In nuclear physics, a nucleon localization function (NLF) has been used to characterize cluster structures in light nuclei, formation of fragments in fission, and pasta phases appearing in the inner crust of neutron stars.Purpose: We use the NLF to study the nuclear response to fast rotation.Methods: We generalize the NLF to the case of nuclear rotation. The extended expressions involve both timeeven and time-odd local particle and spin densities and currents. Since the current density and density gradient contribute to the NLF primarily at the surface, we propose a simpler spatial measure given by the kinetic energy density. Illustrative calculations for the superdeformed yrast band of 152 Dy were carried out using the cranked Skyrme-Hartree-Fock method. We also employed the cranked harmonic oscillator model to gain insights into spatial patterns revealed by the NLF at high angular momentum.Results: In the case of deformed rotating nucleus, several NLFs can be introduced, depending on the definition of the spin quantization axis, direction of the total angular momentum, and self-consistent symmetries of the system. Contributions to the NLF from the current density, spin-current tensor density, and density gradient terms are negligible in the nuclear interior. The oscillating pattern of the simplified NLF can be explained in terms of a constructive interference between kinetic-energy and particle densities. The characteristic nodal pattern seen in the NLF in the direction of major axis of a rotating nucleus comes from single-particle orbits carrying large aligned angular momentum. The variation of the NLF along the minor axis of the nucleus can be traced back to deformation-aligned orbits. Conclusions:The NLF allows a simple interpretation of the shell structure evolution in the rotating nucleus in terms of the angular momentum alignment of individual nucleons. We expect that the NLF will be very useful for the characterization and visualization of other collective modes in nuclei and time-dependent processes.

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The nuclear collective motion

Cited by 8 publications

References 126 publications

Beyond mean field study of excited states: Analysis within the Lipkin model

Beyond mean field study of excited states: Analysis within the Lipkin model

Semiclassical prediction of large spectral fluctuations in interacting kicked spin chains

Nucleon localization function in rotating nuclei

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