Absence of hindrance in a microscopic 12C + 12C fusion study

Godbey, Kyle; Simenel, Cedric; Umar, A. S.

doi:10.1103/physrevc.100.024619

Absence of hindrance in a microscopic ¹²C + ¹²C fusion study

Journal Article · Wed Aug 21 00:00:00 EDT 2019 · Physical Review C

DOI:https://doi.org/10.1103/physrevc.100.024619· OSTI ID:1612036

Godbey, Kyle ^[1]; Simenel, Cedric ^[2]; ^[3]

Vanderbilt Univ., Nashville, TN (United States); DOE/OSTI
The Australian National Univ., Canberra (Australia)
Vanderbilt Univ., Nashville, TN (United States)

Studies of low-energy fusion of light nuclei are important in astrophysical modeling, with small variations in reaction rates having a large impact on nucleosynthesis yields. Due to the lack of experimental data at astrophysical energies, extrapolation and microscopic methods are needed to model fusion probabilities. To investigate deep sub-barrier ¹²C+¹²C fusion cross sections and establish trends for the S factor. Microscopic methods based on static Hartree-Fock and time-dependent Hartree-Fock (TDHF) mean-field theory are used to obtain ¹²C+¹²C ion-ion fusion potentials. Fusion cross sections and astrophysical S factors are then calculated using the incoming wave boundary condition method. Both density-constrained frozen Hartree-Fock (DCFHF) and density-constrained TDHF (DC-TDHF) predict a rising S factor at low energies, with DC-TDHF predicting a slight damping in the deep sub-barrier region (≈1 MeV). Comparison between DC-TDHF calculations and maximum experimental cross sections in the resonance peaks are good. However, the discrepancy in experimental low-energy results inhibits interpretation of the trend. Using the fully microscopic DCFHF and DC-TDHF methods, no S factor maximum is observed in the ¹²C+¹²C fusion reaction. In addition, no extreme sub-barrier hindrance is predicted at low energies. Furthermore, the development of a microscopic theory of fusion including resonance effects, as well as further experiments at lower energies must be done before the deep sub-barrier behavior of the reaction can be established.

View Accepted Manuscript (DOE)

Research Organization:: Vanderbilt Univ., Nashville, TN (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0013847

OSTI ID:: 1612036

Journal Information:: Physical Review C, Journal Name: Physical Review C Journal Issue: 2 Vol. 100; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited By (2)

Influence of the tensor interaction on heavy-ion fusion cross sections Godbey, K.; Guo, Lu; Umar, A. S. Physical Review C, Vol. 100, Issue 5 https://doi.org/10.1103/physrevc.100.054612	journal	November 2019
Influence of the tensor interaction on heavy-ion fusion cross sections Godbey, K.; Guo, Lu; Umar, A. S. arXiv https://doi.org/10.48550/arxiv.1909.04005	text	January 2019

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