Non-local effects on the heavy-ion fusion at sub-barrier energies

Chamon, L. C.; Hussein, M. S.; Canto, L. F.

doi:10.1590/s0103-97332007000700018

Cited by 5 publications

(3 citation statements)

References 22 publications

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“…For energies and radii around the barrier (E ≈ V B and R ≈ R B ) the relative velocity is negligible and V SP (R) reduces to V F (R) (see, e.g. [47]). Adopting the zero-range approach [20], the folding potential is obtained from the matter densities of the collision partners through the equation…”

Section: Sensitivity Of the Results To Changes In The Parameters Of Tmentioning

confidence: 99%

Dynamic effects of breakup on fusion reactions of weakly bound nuclei

et al. 2009

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Section: Sensitivity Of the Results To Changes In The Parameters Of Tmentioning

confidence: 99%

Dynamic effects of breakup on fusion reactions of weakly bound nuclei

et al. 2009

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“…Refs. [36,37] solve the Schrödinger equations with nonlocal complex optical potentials in regular boundary conditions. As far as we know, there is few publication on how to solve the Schrödinger equations with nonlocal potentials and IWBC exactly.…”

Section: Internal Region External Region Absorption Regionmentioning

confidence: 99%

Generalizing the calculable $R$-matrix theory and eigenvector continuation to the incoming wave boundary condition

Bai,

Ren

2021

Preprint

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The calculable R-matrix theory has been formulated successfully for regular boundary conditions with vanishing radial wave functions at the coordinate origins [P. Descouvemont and D. Baye, Rept. Prog. Phys. 73, 036301 (2010)]. We generalize the calculable R-matrix theory to the incoming wave boundary condition (IWBC), which is widely used in theoretical studies of low-energy heavy-ion fusion reactions to simulate the strong absorption of incoming flux inside the Coulomb barriers. The generalized calculable R-matrix theory also provides a natural starting point to extend eigenvector continuation (EC) [D. Frame et al., Phys. Rev. Lett. 121, 032501 (2018)] to fusion observables. The 14 N + 12 C fusion reaction is taken as an example to validate these new theoretical tools. Both local and nonlocal potentials are considered in numerical calculations. Our generalizations of the calculable R-matrix theory and EC are found to work well for IWBC.

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“…The study of reaction mechanism concerning the transition between complete (CF) and incomplete fusion (ICF) processes is important in the view of understanding the interplay between such two dominant modes of the nuclear interaction [97,98]. Exactly such issue we would like to investigate in our further investigation using 197 Au, 181 Ta and 209 Bi pre-actinides targets induced by 11 B-ions at intermediate energy range.…”

Section: Concluding Remarks and Outlookmentioning

confidence: 99%

Fission and spallation data evaluation using induced-activity method

Karapetyan

2015

Eur. Phys. J. Plus

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The induced-activity investigations in off-line analysis performed in different experiments, concerning pre-actinide and actinide nuclei, are here presented and discussed. Generalized expressions for the determination of independent yields/cross sections of radioactive nuclei, formed in the targets, are derived and analysed. The fragment mass distribution from 238 U, 232 Th and 181 Ta photofission at the bremsstrahlung end-point energies of 50 and 3500 MeV, and from 241 Am, 238 U and 237 Np fission induced by 660-MeV protons, are scrutinized from the point of view of the multimodal fission approach. The results of these studies are hence compared with theoretical model calculations using the CRISP code. A multimodal fission option has been added to this code, which allows to account the contribution of symmetric and asymmetric (superasymmetric) fission to the total fission yield. Moreover, this work contains the general results obtained in the analysis of the isomer ratios of fission fragments from 238 U and 232 Th targets at the bremsstrahlung end-point energies of 50 and 3500 MeV. Moreover, the values of the average angular momenta of primary fragments are estimated by using the statistical model calculation. We subsequently discuss the complex particle-induced reaction, such as heavy-ions and deuterons, by using the thick-target thick-catcher technique and the two-step vector model framework as well. This is accomplished in order to present the investigation of the main processes (fission, spallation and (multi)fragmentation) in intermediate-and high-energy ranges of the incident particle. The set of experimental data, presented in this work, encompasses not merely the data as total production cross sections. Notwithstanding, it further covers other data, as individual yields/cross sections, charge, mass and spin distributions of the reaction fragments, as well as kinematic features. These sources of experimental data can serve as a consistent set of benchmarking data, still necessary for the study of heavy nuclei. Besides, it is also useful for technological applications, from astrophysics and environmental sciences to accelerator technology and accelerator-based nuclear waste transmutation and energy amplification as well. PACS numbers: 25.40.Sc, 25.85.-w * Electronic address: gayane@if.usp.br arXiv:1509.00226v1 [nucl-ex] 1 Sep 2015

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Non-local effects on the heavy-ion fusion at sub-barrier energies

Cited by 5 publications

References 22 publications

Dynamic effects of breakup on fusion reactions of weakly bound nuclei

Dynamic effects of breakup on fusion reactions of weakly bound nuclei

Generalizing the calculable $R$-matrix theory and eigenvector continuation to the incoming wave boundary condition

Fission and spallation data evaluation using induced-activity method

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