Localization and clustering in the nuclear Fermi liquid

Abstract

Using the framework of nuclear energy density functionals we examine the conditions for single-nucleon localization and formation of cluster structures in finite nuclei. We propose to characterize localization by the ratio of the dispersion of single-nucleon wave functions to the average inter-nucleon distance. This parameter generally increases with mass and describes the gradual transition from a hybrid phase in light nuclei, characterized by the spatial localization of individual nucleon states that leads to the formation of cluster structures, toward the Fermi liquid phase in heavier nuclei. Values of the localization parameter that correspond to a crystal phase cannot occur in finite nuclei. Typical length and energy scales in nuclei allow the formation of liquid drops, clusters, and halo structures.

6 pages, 3 figures

References in corpus (6)

• Simulation of Transitions between "Pasta" Phases in Dense Matter
• Localization in light nuclei
• On the origin of nuclear clustering
• Di-neutron clustering and deuteron-like tensor correlation in nuclear structure focusing on 11Li
• Ising analogue to compact-star matter
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