Data and Codes for Heavy-ion Fusion Reactions

Data Tables

Measured capture cross sections (2025)

Measured capture excitation functions for 348 heavy-ion fusion reaction systems. The columns from left to right: Ecm (MeV), sigma (mb), error (mb). A portion of experimental data are taken from NRV .

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Extracted Barriers

Reference: Y. Chen, et al., At. Data Nucl. Data Tabl. 154, 101587 (2023) [PDF] | [arXiv:2305.08382 ]

Extracted barrier information from 443 measured excitation functions

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Capture barrier heights

Reference: Hong Yao, Hui Yang, and Ning Wang, Phys. Rev. C 110, 014602 (2024) [PDF] [Link] | [arXiv:2405.01985]

Capture barrier heights (in MeV) with time dependent Hartree-Fock calculations using parameter set SLy6.

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Codes

EBD2.2

Reference: N. Wang, Y. J. Duan, H. Yao and H. M. Jia, Chin. Phys. C (2026); [arXiv:2510.26072] | [Fortran code]

Online calculation of the capture cross sections for heavy-ion fusion reactions. The positive-Q neutron transfer effect is taken into account in this version. In addition, the uncertainties of model predictions and available experimental data are also presented.

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Capture Cross Section Calculator, EBD2.0

Reference: N. Wang, Refinement of an analytical capture cross section formula, Chin. Phys. C 49 (2025) 124106 [PDF]

A HTML code to calculate the capture cross sections for heavy-ion fusion reactions from light to super-heavy systems.

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FUSION, v2

Reference: N. Wang, J. Chen, Y. Wang and H. Yao, Phys. Rev. C 111 (2025) 024621 [PDF] | [arXiv: 2411.17019]

Universal Wong formula to calculate the capture cross sections from light to super-heavy systems

Modifications in version 2.0: Considering the influence of deep inelastic scattering on capture radius

and Considering the constraint of the distribution width for light fusion reactions, etc

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FUSION, v1

Reference: M. Liu, N. Wang, et al., Nucl. Phys. A 768, 80 (2006) [PDF] | [arXiv: nucl-th/0509069]

A Fortran code to calculate the capture (fusion) cross sections with the Skyrme energy density functional

for describing the frozen density capture barrier + two-Gaussian function for describing the barrier distribution.

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Bdis

Reference: N. Wang, Z.-X. Li and W. Scheid, J. Phys. G: Nucl. Part. Phys. 34 (2007) 1935 [PDF]

A Fortran code to calculate the barrier distribution based on the measured fusion excitation function

by using the point-difference approximation.

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HIVAP, v2.0

Reference: N. Wang, K. Zhao, W. Scheid and X. Z. Wu. Phys. Rev. C 77 (2008) 014603; [PDF]

A Fortran code to calculate the evaporation residue cross sections in heavy-ion fusion-fission reactions. In the calculations of the survival probability of the compound nuclei, the competitaions among neutrons, protons, gamma rays, alpha particles and fission are considered.

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Talks

重离子熔合反应中的核结构效应与动力学效应

报告人:王宁 | 2025年11月9日, 桂林

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重离子俘获截面的通用Wong公式与EBD公式

报告人:王宁 | 2025年7月1日, 西安

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重离子俘获截面的系统研究

报告人:王宁 | 原子核物理前沿研讨会,2024年11月8日-11日, 南京

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Others

Coulomb Barrier v1.0

A HTML code to compare the Coulomb barrier height for heavy-ion fusion reactions.

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Coulomb Barrier v2.0

Nucleus-nucleus potential and Coulomb barrier for heavy-ion fusion reactions.

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