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Title: From cluster structures to nuclear molecules: The role of nodal structure of the single-particle wave functions

Abstract

In this study, the nodal structure of the density distributions of the single-particle states occupied in rod-shaped, hyper- and megadeformed structures of non-rotating and rotating N ~ 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 – 1,1]Ω (with N from 1 to 3 and Ω = 1/2, 3/2) types are considered. These states are building blocks of extremely deformed shapes in the nuclei with mass numbers A ≤ 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 α clusterization and the suppression of the α 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. Lastly, our analysismore » 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.« less

Authors:
 [1];  [2]
  1. Mississippi State Univ., Mississippi State, MS (United States). Department of Physics and Astronomy
  2. Birzeit University (Palestine). Department of Physics
Publication Date:
Research Org.:
Mississippi State Univ., Mississippi State, MS (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1459443
Alternate Identifier(s):
OSTI ID: 1422439
Grant/Contract Number:  
SC0013037
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 97; Journal Issue: 2; Related Information: http://link.aps.org/supplemental/10.1103/PhysRevC.97.024329; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Afanasjev, A. V., and Abusara, H. From cluster structures to nuclear molecules: The role of nodal structure of the single-particle wave functions. United States: N. p., 2018. Web. doi:10.1103/PhysRevC.97.024329.
Afanasjev, A. V., & Abusara, H. From cluster structures to nuclear molecules: The role of nodal structure of the single-particle wave functions. United States. doi:10.1103/PhysRevC.97.024329.
Afanasjev, A. V., and Abusara, H. Fri . "From cluster structures to nuclear molecules: The role of nodal structure of the single-particle wave functions". United States. doi:10.1103/PhysRevC.97.024329. https://www.osti.gov/servlets/purl/1459443.
@article{osti_1459443,
title = {From cluster structures to nuclear molecules: The role of nodal structure of the single-particle wave functions},
author = {Afanasjev, A. V. and Abusara, H.},
abstractNote = {In this study, the nodal structure of the density distributions of the single-particle states occupied in rod-shaped, hyper- and megadeformed structures of non-rotating and rotating N ~ 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 – 1,1]Ω (with N from 1 to 3 and Ω = 1/2, 3/2) types are considered. These states are building blocks of extremely deformed shapes in the nuclei with mass numbers A ≤ 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 α clusterization and the suppression of the α 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. Lastly, 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.},
doi = {10.1103/PhysRevC.97.024329},
journal = {Physical Review C},
number = 2,
volume = 97,
place = {United States},
year = {2018},
month = {2}
}

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