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Title: Cluster formation in precompound nuclei in the time-dependent framework

Abstract

Background: Modern applications of nuclear time-dependent density functional theory (TDDFT) are often capable of providing quantitative description of heavy ion reactions. However, the structures of precompound (preequilibrium, prefission) states produced in heavy ion reactions are difficult to assess theoretically in TDDFT as the single-particle density alone is a weak indicator of shell structure and cluster states. Purpose: We employ the time-dependent nucleon localization function (NLF) to reveal the structure of precompound states in nuclear reactions involving light and medium-mass ions. We primarily focus on spin saturated systems with N = Z . Furthermore, we study reactions with oxygen and carbon ions, for which some experimental evidence for α clustering in precompound states exists. Method: We utilize the symmetry-free TDDFT approach with the Skyrme energy density functional UNEDF1 and compute the time-dependent NLFs to describe 16O + 16O, 40Ca + 16O, 40Ca + 40Ca , and 16,18O + 12C collisions at energies above the Coulomb barrier. Results: We show that NLFs reveal a variety of time-dependent modes involving cluster structures. For instance, the 16O + 16O collision results in a vibrational mode of a quasimolecular α - 12 C - 12 C- α state. For heavier ions, a variety of clustermore » configurations are predicted. For the collision of 16,18O + 12C, we showed that the precompound system has a tendency to form α clusters. This result supports the experimental findings that the presence of cluster structures in the projectile and target nuclei gives rise to strong entrance channel effects and enhanced α emission. Conclusion: The time-dependent nucleon localization measure is a very good indicator of cluster structures in complex precompound states formed in heavy-ion fusion reactions. Finally, the localization reveals the presence of collective vibrations involving cluster structures, which dominate the initial dynamics of the fusing system.« less

Authors:
 [1];  [2]
  1. Technische Univ. Darmstadt (Germany). Inst. fur Kernphysik; GSI Helmholz zentrum fur Schwerionenforschung, Darmstadt (Germany); Michigan State Univ., East Lansing, MI (United States). FRIB Lab.
  2. Michigan State Univ., East Lansing, MI (United States). Dept. of Physics and Astronomy and FRIB Lab.
Publication Date:
Research Org.:
Michigan State Univ., East Lansing, MI (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1435751
Alternate Identifier(s):
OSTI ID: 1413561
Grant/Contract Number:  
SC0013365; SC0008511; NA0002847
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 96; Journal Issue: 6; 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

Schuetrumpf, B., and Nazarewicz, W. Cluster formation in precompound nuclei in the time-dependent framework. United States: N. p., 2017. Web. doi:10.1103/PhysRevC.96.064608.
Schuetrumpf, B., & Nazarewicz, W. Cluster formation in precompound nuclei in the time-dependent framework. United States. doi:10.1103/PhysRevC.96.064608.
Schuetrumpf, B., and Nazarewicz, W. Fri . "Cluster formation in precompound nuclei in the time-dependent framework". United States. doi:10.1103/PhysRevC.96.064608. https://www.osti.gov/servlets/purl/1435751.
@article{osti_1435751,
title = {Cluster formation in precompound nuclei in the time-dependent framework},
author = {Schuetrumpf, B. and Nazarewicz, W.},
abstractNote = {Background: Modern applications of nuclear time-dependent density functional theory (TDDFT) are often capable of providing quantitative description of heavy ion reactions. However, the structures of precompound (preequilibrium, prefission) states produced in heavy ion reactions are difficult to assess theoretically in TDDFT as the single-particle density alone is a weak indicator of shell structure and cluster states. Purpose: We employ the time-dependent nucleon localization function (NLF) to reveal the structure of precompound states in nuclear reactions involving light and medium-mass ions. We primarily focus on spin saturated systems with N = Z . Furthermore, we study reactions with oxygen and carbon ions, for which some experimental evidence for α clustering in precompound states exists. Method: We utilize the symmetry-free TDDFT approach with the Skyrme energy density functional UNEDF1 and compute the time-dependent NLFs to describe 16O + 16O, 40Ca + 16O, 40Ca + 40Ca , and 16,18O + 12C collisions at energies above the Coulomb barrier. Results: We show that NLFs reveal a variety of time-dependent modes involving cluster structures. For instance, the 16O + 16O collision results in a vibrational mode of a quasimolecular α -12 C -12 C- α state. For heavier ions, a variety of cluster configurations are predicted. For the collision of 16,18O + 12C, we showed that the precompound system has a tendency to form α clusters. This result supports the experimental findings that the presence of cluster structures in the projectile and target nuclei gives rise to strong entrance channel effects and enhanced α emission. Conclusion: The time-dependent nucleon localization measure is a very good indicator of cluster structures in complex precompound states formed in heavy-ion fusion reactions. Finally, the localization reveals the presence of collective vibrations involving cluster structures, which dominate the initial dynamics of the fusing system.},
doi = {10.1103/PhysRevC.96.064608},
journal = {Physical Review C},
number = 6,
volume = 96,
place = {United States},
year = {2017},
month = {12}
}

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Figures / Tables:

Figure 1 Figure 1: Snapshots of 16O + 16O (top) and 16O + 40Ca (bottom) TDDFT collision simulations. Total densities normalized to the nuclear saturation density ρ0 = 0.16 fm−3 are shown in the left panels while the corresponding localizations $C_\alpha$ are displayed in the right panels. Since the collisions are central,more » axial symmetry with respect to the z-axis is con- served.« less

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