Fusion cross sections for fusion energy

Li, Xing Z.; Liu, Bin; Wei, Qing; Shu-Xin, Zheng; Cao, Dongxing

doi:10.1016/j.fusengdes.2005.08.068

Cited by 5 publications

(9 citation statements)

References 7 publications

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“…In the present work, based on precise CWFs, we calibrate optical potential parameters V r , V i , and r 0 for D+D, D+T, D+ 3 He, p+D, p+ 6 Li and p+ 7 Li fusion reactions. We find that our calculated optical potential parameters are quite different from those of many previous results [10][11][12][13][14], in which ACWFs with only retaining the leading terms are exploited for the continuity conditions at the radius of nuclear potential well. The phase diagrams of FCSs with respect to the optical potential parameters demonstrate several separate narrow shape resonance belts, indicating that a small deviation from the exact CWFs might lead to fall off the resonance regimes and therefore cause the big difference on the optical parameters.…”

Section: Discussioncontrasting

confidence: 99%

“…We calibrate optical potential parameters for D+D, D+T, D+ 3 He, p+D, p+ 6 Li and p+ 7 Li fusion reactions by benchmarking with experimental cross section data. We find that our calculated optical potential parameters are quite different from those of many previous results with ACWFs [10][11][12][13][14]. For the optical model parameters of p+ 6 Li, p+D and D+D fusion reactions, the relative errors of the real part, imaginary part and the nuclear radius of the optical potentials can reach 148%, -621% and -159%, respectively.…”

Section: Introductioncontrasting

confidence: 95%

“…This model only needs to fit three parameters with obvious physical significance and overcomes the Gamow tunneling insufficiencies: it shows that the tunneling and decay can no longer be independent in light nuclear fusion process and need to be combined as a selective resonant tunneling [9]. This model has been widely exploited to investigate the FCSs, astrophysical S -factors, and optical potential parameters associated with the light nuclear fusions [10][11][12][13][14][15]. However, in these studies, the approximate Coulomb wave functions (ACWFs) that only retain the leading terms of the Coulomb wave functions (CWFs) [16], are exploited for the continuity conditions at the radius of nuclear potential well.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Optical potential parameters of light nuclear fusion based on precise Coulomb wave functions

Wu,

Duan,

Liu

2021

Preprint

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Based on precise Coulomb wave functions (CWFs), we attempt to calculate the fusion cross sections of light nuclei in a complex spherical square-well nuclear potential (i.e., optical potential model). Comparing with experimental benchmark cross section data, we can calibrate optical potential parameters associated with D+D, D+T, D+ 3 He, p+D, p+ 6 Li and p+ 7 Li fusion reactions. Surprisingly, we find that our calculated optical potential parameters are quite different from those of many previous results (e.g., Phys. Rev. C. 61 (2000) 024610, Nucl. Phys. A 986 (2019) 98, etc. ), in which approximate Coulomb wave functions (ACWFs) with only retaining the leading terms are exploited for the continuity conditions at the radius of nuclear potential. Furthermore, with the obtained optical potential parameters, we compare the fusion cross sections and astrophysical S -factors with that formulated from ACWFs approach, and also find apparent deviations especially for the fusion reactions with resonance peaks such as D+T and D+ 3 He fusion reactions. We then calculate the phase diagrams of the fusion cross sections with respect to the optical potential parameters and demonstrate several narrow shape resonance belts. It implies that a small deviation of ACWFs from the exact CWFs at nuclear radius might lead to fall off the resonance regimes and therefore causes the big difference on the optical parameters as well as the cross sections.

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Section: Discussioncontrasting

confidence: 99%

Section: Introductioncontrasting

confidence: 95%

Section: Introductionmentioning

confidence: 99%

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Optical potential parameters of light nuclear fusion based on precise Coulomb wave functions

Wu,

Duan,

Liu

2021

Preprint

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“…The Gamow-Sommerfield factor G(E) is a penetration factor of the Coulomb barrier by the incident particle that characterizes the likelihood of incident/target nuclei undergoing fusion. It is represented by an exponential attenuation function [34] expressed as…”

Section: B Gamow-sommerfield Factor G(e)mentioning

confidence: 99%

Empirical model for fusion cross sections of Ca-induced reactions

Rani. L,

Sowmya,

Sridhar

et al. 2024

Chinese Phys. C

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A new empirical formula for the astronomical S-factor has been suggested as a function ofthe Coulomb interaction parameter, center of mass energy, and barrier height. About 22 fusionreactions with 40,48Ca as projectiles were considered for different targets leading to compound nucleiwith the atomic and mass numbers varying between 40 ≤ Z ≤112 and 88 ≤ A ≤278 respectively.The fusion cross-sections have been estimated using the Geometric factor, Gamow-Sommerfieldfactor and empirical formula for the S-factor. A better agreement has been obtained for the presentwork with that of available experiments when compared to Wong’s formula. The present work leadsto a smaller standard deviation value when compared to Wong’s formula when used to correlatewith the experimental data of Calcium-induced fusion reactions. Wong’s formula provides a goodapproximation of fusion cross-sections when center of mass energy is below the fusion barrier whencompared to above the fusion barrier.

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“…The β-heating becomes an essential factor in forming a uniform and thick DT shell in a cryogenic capsule [7][8][9][10][11]. There is no doubt that DT fuel has the most promise for ignition because of larger reaction cross-section than other hydrogen combinations [12][13][14]. But the resulted radiological impacts such as tritium contamination, neutron activation and neutron-induced radiation effects in diagnostics have to be resolved.…”

Section: Introductionmentioning

confidence: 99%

Predicting spherical symmetry degeneration of non-infrared deuterium ice layer in a cryogenic capsule

et al. 2020

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A cylindrical cryogenic target containing deuterium fuel acts as an important surrogate to help understand implosion physics before the deuterium-tritium capability is brought online. Uniformity of the deuterium ice thickness is a key parameter for the inertial confinement fusion (ICF) experiments. Achieving and retaining a uniform deuterium ice layer in capsule without infrared radiation is difficult in engineering. The method used to calculate the ice thickness deviation of deuterium-tritium fuel is invalid when the bulk heat generation is equal to zero. Appearance solutions of the deuterium ice in steady state conclude that a uniform ice layer cannot be retained for long without infrared radiation. A transient algorithm by integrating heat transfer theory, the equation derived from Stefan problem and mass conservation with moving mesh technics in a finite element model can be applied to predict deuterium ice spherical symmetry degeneration. It is certified with good reliability by comparing the simulated results with theoretical and experimental data. As for the deuterium targets, the characteristics of linear approximation and integrability avert heavy work of moving mesh in analyses of stable and unstable scenarios. The work has great support for the cryogenic processing and engineering design of ICF targets.

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Fusion cross sections for fusion energy

Cited by 5 publications

References 7 publications

Optical potential parameters of light nuclear fusion based on precise Coulomb wave functions

Optical potential parameters of light nuclear fusion based on precise Coulomb wave functions

Empirical model for fusion cross sections of Ca-induced reactions

Predicting spherical symmetry degeneration of non-infrared deuterium ice layer in a cryogenic capsule

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