Dependence of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mmultiscripts><mml:mi mathvariant="normal">O</mml:mi><mml:mprescripts /><mml:none /><mml:mrow><mml:mn>16</mml:mn></mml:mrow></mml:mmultiscripts><mml:mo>+</mml:mo><mml:mmultiscripts><mml:mi mathvariant="normal">O</mml:mi><mml:mprescripts /><mml:none /><mml:mrow><mml:mn>16</mml:mn></mml:mrow></mml:mmultiscripts></mml:mrow></mml:math>nuclear potential on nuclear incompressibility

Hossain, S.; Tariq, A. S. B.; Nilima, A.; Majumder, R.; Sayed, M. A.; Billah, M. Masum; Azad, M. A. K.; Uddin, Md. Azhar; Malik, F.B.; Basak, A. K.

doi:10.1103/physrevc.91.064613

Cited by 12 publications

(28 citation statements)

References 62 publications

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“…The Skyrme [27] and QMC [30] EDFs are used both to calculate the HF ground state, which are found spherical, and to compute the potential. It accounts for the bulk properties of nuclear matter such as its incompressibility which is crucial at short distances [42,45,46]. Overlaying the densities while neglecting the Pauli exclusion principle between nucleons in different nuclei leads to the frozen Hartree-Fock (FHF) potential [24,34,47] V…”

Section: A Density-constrained Frozen Hartree-fockmentioning

confidence: 99%

Absence of hindrance in a microscopic C12+C12 fusion study

2019

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Background: 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. Purpose: To investigate deep sub-barrier 12 C+ 12 C fusion cross sections and establish trends for the S factor. Method: Microscopic methods based on static Hartree-Fock and time-dependent Hartree-Fock (TDHF) meanfield theory are used to obtain 12 C+ 12 C ion-ion fusion potentials. Fusion cross sections and astrophysical S factors are then calculated using the incoming wave boundary condition method. Results: 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. Conclusions: Using the fully microscopic DCFHF and DC-TDHF methods, no S factor maximum is observed in the 12 C+ 12 C fusion reaction. In addition, no extreme sub-barrier hindrance is predicted at low energies. 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.

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Section: A Density-constrained Frozen Hartree-fockmentioning

confidence: 99%

Absence of hindrance in a microscopic C12+C12 fusion study

2019

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“…The Skyrme EDF [25] is used both in HF calculations and to compute the bare potential. It accounts for the bulk properties of nuclear matter such as its incompressibility which is crucial at short distances [16,22,26]. Neglecting the Pauli exclusion principle between nucleons in different nuclei leads to the usual frozen Hartree-Fock (FHF) potential [27][28][29][30] V…”

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confidence: 99%

How the Pauli exclusion principle affects fusion of atomic nuclei

et al. 2017

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The Pauli exclusion principle induces a repulsion between composite systems of identical fermions such as colliding atomic nuclei. Our goal is to study how heavy-ion fusion is impacted by this "Pauli repulsion". We propose a new microscopic approach, the density-constrained frozen Hartree-Fock method, to compute the bare potential including the Pauli exclusion principle exactly. Pauli repulsion is shown to be important inside the barrier radius and increases with the charge product of the nuclei. Its main effect is to reduce tunnelling probability. Pauli repulsion is part of the solution to the long-standing deep sub-barrier fusion hindrance problem.Comment: 5 pages, 1 figur

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“…The Skyrme [27] and quark-meson coupling (QMC) [30] EDFs are used both to calculate the HF ground state, which are found spherical, and to compute the potential. It accounts for the bulk properties of nuclear matter such as its incompressibility which is crucial at short distances [42,45,46]. Overlaying the densities while neglecting the Pauli exclusion principle between nucleons in different nuclei leads to the frozen Hartree-Fock (FHF) potential [24,34,47]…”

Section: A Density-constrained Frozen Hartree-fockmentioning

confidence: 99%

Absence of hindrance in microscopic $^{12}$C+$^{12}$C fusion study

Godbey,

Simenel,

Umar

2019

Preprint

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Background: 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. Purpose: To investigate deep sub-barrier 12 C+ 12 C fusion cross sections and establish trends for the S factor. Method: Microscopic methods based on static Hartree-Fock (HF) and time-dependent Hartree-Fock (TDHF) mean-field theory are used to obtain 12 C+ 12 C ion-ion fusion potentials. Fusion cross sections and astrophysical S factors are then calculated using the incoming wave boundary condition (IWBC) method. Results: 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. Conclusions: Using the fully microscopic DCFHF and DC-TDHF methods, no S factor maximum is observed in the 12 C+ 12 C fusion reaction. In addition, no extreme sub-barrier hindrance is predicted at low energies. 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.

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Dependence of theO16+O16nuclear potential on nuclear incompressibility

Cited by 12 publications

References 62 publications

Absence of hindrance in a microscopic C12+C12 fusion study

Absence of hindrance in a microscopic C12+C12 fusion study

How the Pauli exclusion principle affects fusion of atomic nuclei

Absence of hindrance in microscopic $^{12}$C+$^{12}$C fusion study

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