2018/02/23 by A. V. Afanasjev, H. Abusara
Physics and Astronomy · #Atomic physics #Basis (linear algebra) #Cluster (spacecraft) #Cold Atom Physics and Bose-Einstein Condensates #Geometry #Nuclear physics research studies #Nuclear structure #Particle (ecology) #Physics #Quantum mechanics #Quantum number #Quantum, superfluid, helium dynamics #Wave function #nucl-th
paper · pdf · doi:10.1103/physrevc.97.024329
published as Physical Review C 97, 024329 (2018)
openalex publication_date 2018/02/23 · arxiv created 2018/04/16 · arxiv updated 2018/04/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The nodal structure of the density distributions of the single-particle states occupied in rod-shaped, hyper- and megadeformed structures of nonrotating and rotating N\ensuremath∼Z nuclei has been investigated in detail. The single-particle states with the Nilsson quantum numbers of the [NN0]1/2 (with N from 0 to 5) and [N,N\ensuremath-1,1]\mathrm\ensuremathΩ (with N from 1 to 3 and \mathrm\ensuremathΩ=1/2, 3/2) types are considered. These states are building blocks of extremely deformed shapes in the nuclei with mass numbers A\ensuremath≤50. Because of (near) axial symmetry and large elongation of such structures, the wave functions of the single-particle states occupied are dominated by a single basis state in cylindrical basis. This basis state defines the nodal structure of the single-particle density distribution. The nodal structure of the single-particle density distributions allows us to understand in a relatively simple way the necessary conditions for \ensuremathα clusterization and the suppression of the \ensuremathα clusterization with the increase of mass number. It also explains in a natural way the coexistence of ellipsoidal mean-field-type structures and nuclear molecules at similar excitation energies and the features of particle-hole excitations connecting these two types of the structures. Our analysis of the nodal structure of the single-particle density distributions does not support the existence of quantum liquid phase for the deformations and nuclei under study.