Clusterization aspects in the states of non-rotating and fast rotating nuclei
A. V. Afanasjev

TL;DR
This paper reviews and reanalyzes clustering phenomena in non-rotating and fast rotating nuclei using covariant density functional theory, predicting exotic shapes and cluster configurations at various spins.
Contribution
It introduces a combined analysis of nodal structures and Nilsson diagrams to predict nuclear shapes and cluster formations, supported by self-consistent calculations.
Findings
Prediction of exotic nuclear shapes in the nuclear chart.
Identification of specific cluster configurations at high spin.
Analysis of single-particle state evolution with deformation.
Abstract
The understanding of clustering aspects at the ground state of nuclei and in fast rotating ones within the framework of covariant density functional theory has been reviewed and reanalyzed. The appearance of many exotic nuclear shapes in nuclear chart can be inferred from combined analysis of nodal structure of the densities of the single-particle states and the evolution of such states in the Nilsson diagram with deformation and particle number. Such analysis which is supported by fully self-consistent calculations allows to predict the existence of nuclear configurations with specific shape or cluster properties at ground state and at high spin. For example, it indicates that in a given shell with principal quantum number only the lowest in energy two-fold degenerate deformed state can contribute to the formation of linear chain cluster structures.
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