Fusion of deformed nuclei:<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi mathvariant="normal">C</mml:mi><mml:mprescripts /><mml:none /><mml:mrow><mml:mn>12</mml:mn></mml:mrow></mml:mmultiscripts><mml:mrow><mml:mo>+</mml:mo></mml:mrow><mml:mmultiscripts><mml:mi mathvariant="normal">C</mml:mi><mml:mprescripts /><mml:none /><mml:mrow><mml:mn>12</mml:mn></mml:mrow></mml:mmultiscripts></mml:math>

Denisov, V. Yu.; Pilipenko, N. A.

doi:10.1103/physrevc.81.025805

Cited by 26 publications

(5 citation statements)

References 40 publications

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“…Alternatively, polarization effects can be included via the coupled-channels method based on a bare (energy-independent) nucleus-nucleus potential, e.g., calculated with a modified double-folding technique [18,19]. Deformation effects of 12 C have also been investigated with potential models [20], microscopic calculations [21], and the time-dependent wave-packet method in an attempt to reproduce the resonances that show in 12 C+ 12 C fusion [22].…”

Section: Introductionmentioning

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: Introductionmentioning

confidence: 99%

Absence of hindrance in a microscopic C12+C12 fusion study

2019

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“…It is well known that the shape deformation of colliding nuclei is important to the sub-barrier fusion due to the dependence of the barrier high on the orientation of incoming nuclei [10]. The ground state shape of 12 C nuclei is well deformed with the quadrupole and hexadecapole deformations obviously observed.…”

Section: C+ C Fusionmentioning

confidence: 96%

“…Moreover, in the energy region around and well below the Coulomb barrier, the prominent of resonant structures in 12 C+ 12 C fusion excitation functions makes it extremely difficult to extrapolate the fusion cross section at energies of astrophysical interest from the available data at the higher energies [1]. Therefore, during the last four decades, 12 C+ 12 C fusion at low energies still attracts a lot of experimental and theoretical efforts [2][3][4][5][6][7][8][9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

“…In general, 12 C+ 12 C fusion cross sections at low energies are calculated using the barrier penetration model (BPM) [9,10] that the reality strongly depends on the choice of nuclear potential. Indeed, a large number of potential models have been proposed to study 12 C+ 12 C fusion based on both the microscopic and phenomenological approaches [9,10,12]. One could note that it is significant to determine how the potential model is good in the description of 12 C-12 C nuclear interaction before employed to calculate the fusion cross section.…”

Section: Introductionmentioning

confidence: 99%

“…One could note that it is significant to determine how the potential model is good in the description of 12 C-12 C nuclear interaction before employed to calculate the fusion cross section. However, the important step is rarely considered in previous S CHUYÊN SAN KHOA HỌC TỰ NHIÊN, TẬP 2, SỐ 4, 2018 studies [9,10]. It is well known that the shape deformation of nuclei is important to the fusion at very low energies because the nucleus-nucleus interaction is sensitive to the orientation of incoming nuclei.…”

Section: Introductionmentioning

confidence: 99%

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Role of the shape deformation in 12C + 12C fusion at sub-Coulomb energies

Chien

Bui

Thach

2019

Sci. Tech. Dev. J. - Nat. Sci.

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 Abstract-The fusion cross section of 12 C+ 12 C system at the energies of astrophysical interest is calculated in the framework of barrier penetration model taking into account the deformed shape of interacting nuclei. In particular, the quadrupole surface deformation of both projectile and target nuclei has been included during the fusion process. The real and imaginary parts of nucleus-nucleus interactions performed using the Woods-Saxon square and Woods-Saxon functions, respectively have been carefully tested by 12 C-12 C elastic scattering data analysis before employed to evaluate the astrophysical S factors (the fusion cross sections). The optical model results of elastic angular distributions are consistent with the experimental data. Within the barrier penetration model, the real part of the obtained optical potential gives a good description of the non-resonant astrophysical S factor. It turns out that the taking into account of quadrupole deformation of 12 C nuclei increases the astrophysical S factor at energies below Coulomb barrier.

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Celebrating 20 Years of the São Paulo Potential

Gasques

2021

Braz J Phys

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Fusion of deformed nuclei:C12+C12

Cited by 26 publications

References 40 publications

Absence of hindrance in a microscopic C12+C12 fusion study

Absence of hindrance in a microscopic C12+C12 fusion study

Role of the shape deformation in 12C + 12C fusion at sub-Coulomb energies

Celebrating 20 Years of the São Paulo Potential

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