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基于广义约化 R 矩阵理论, 使用RAC程序( R -matrix analysis code)综合分析了6He系统中所有可以利用的实验数据, 给出了氚核入射10–2—20 MeV能量范围内主要反应道的评价核数据. 其中积分截面包括T(t, 2n)4He, T(t, n)5He, T(t, d)4H; 微分截面包括T(t, 2n)4He, T(t, n)5He, T(t, d)4H, T(t, t)T. 结果表明, RAC的评价结果与实验数据和ENDF/B-VIII.1的评价数据整体符合良好. 重点关注T(t, 2n)4He反应, 评价值在10–2—20 MeV范围内与已有实验数据一致, 在2.9 MeV附近出现由2+能级主导的共振, 在1.9 MeV处, 已有实验同时测量了积分截面和角分布, 本工作的评价结果在两类数据上均表现出良好的一致性, 积分截面与微分截面的联合约束有效提升了 R 矩阵参数的稳定性和评价结果的可靠性. 基于6He系统的整体评价, 进一步补充了T(t, n)5He和T(t, d)4H反应的截面数据. 本工作完善了聚变反应相关的数据基础, 并为后续与镜像系统6Be系统的联合分析奠定了基础. 本文数据集可在
https://www.doi.org/10.57760/sciencedb.j00213.00202 中访问获取Based on the generalized reduced R -matrix theory, this work performs a comprehensive analysis of all available experimental data for the 6He system by using the R -matrix analysis code (RAC). A complete set of evaluated nuclear data is obtained for major reaction channels induced by triton beams in an energy range of 10–2—20 MeV. The evaluated integral cross sections include T(t, 2n)4He, T(t, n)5He, and T(t, d)4H reactions, and the differential cross sections include T(t, 2n)4He, T(t, n)5He, T(t, d)4H, and T(t, t)T. The evaluation results show that they are in good agreement with experimental data and the evaluated data of ENDF/B-VIII.1. In particular, for the T(t, 2n)4He reaction, the evaluated cross sections are consistent with the existing experimental results over the full energy range, and a resonance dominated by the 2+ level is observed near 2.9 MeV. At 1.9 MeV, where experimental measurements of both integral cross sections and angular distributions are available, the evaluation accurately reproduces both observables. The combined constraint of integral and differential data significantly improves the stability of R-matrix parameters and the reliability of the evaluation. Based on the global analysis of the 6He system, this work also provides supplementary cross section data for the T(t, n)5He and T(t, d)4H reactions. The results contribute to the nuclear data foundation for fusion-related reactions and lay the groundwork for future joint evaluation with the mirror 6Be system.The datasets presented in this paper are openly available athttps://www.doi.org/10.57760/sciencedb.j00213.00202 .-
Keywords:
- R-matrix theory /
- fusion reaction cross sections /
- 6He system /
- T(t /
- 2n)4He reaction
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图 1 RAC程序的主要输入文件及工作流程示意图
Fig. 1. Main input files and workflow diagram of the RAC program.
图 2 T(t, 2n)4He反应积分截面 (a) 0.01—0.1 MeV; (b) 0.1—20 MeV
Fig. 2. Integral cross section of T(t, 2n)4He: (a) 0.01—0.1 MeV; (b) 0.1—20 MeV.
图 3 T(t, n)5He反应和T(t, d)4H反应的积分截面 (a) T(t, n)5He反应; (b) T(t, d)4H反应)
Fig. 3. Integral cross section of T(t, n)5He and T(t, d)4H: (a) T(t, n)5He; (b) T(t, d)4H).
图 4 T(t, 2n)4He反应4He出射的微分截面(部分), 能量分布 (a) 0°; (b) 30°; (c) 90°; 角分布(d) 1.9 MeV
Fig. 4. Differential cross section of 4He from the T(t, 2n)4He reaction (partial), energy distribution: (a) 0°; (b) 30°; (c) 90°; and angular distribution (d) 1.9 MeV.
图 5 T(t, n)5He反应微分截面(部分), 入射能分别为 (a) 5.98 MeV; (b) 10.45 MeV; (c) 16.41 MeV; (d) 19.14 MeV
Fig. 5. Differential cross section of T(t, n)5He (partial) at incident energies: (a) 5.98 MeV; (b) 10.45 MeV; (c) 16.41 MeV; (d) 19.14 MeV.
图 6 T(t, d)4H反应微分截面(部分), 入射能分别为 (a) 16.41 MeV; (b) 19.14 MeV
Fig. 6. Differential cross section of T(t, d)4H (partial) at incident energies: (a) 16.41 MeV; (b) 19.14 MeV.
图 7 T(t, t)T反应微分截面(部分), 入射能分别为 (a) 1.582 MeV; (b) 1.8 MeV
Fig. 7. Differential cross section of T(t, t)T (partial) at incident energies: (a) 1.582 MeV; (b) 1.8 MeV.
表 1 反应道的道半径、阈值以及设置的能量范围
Table 1. Radius, threshold and energy range of reaction channels.
Channel Radius ac/fm Threshold/MeV Energy range/MeV t+T 4.301 0 10–2—20 2n+4He 4.186 11.346 — n+5He 3.990 10.600 — d+4H 4.593 –7.852 — 
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表 2 实验数据的使用情况
Table 2. Experimental data used in the RAC program.
Reaction
channelCross section
typeEnergy
range/MeVData
pointAverage
$ {\chi }^{2} $T(t, 2n)4He Integral 3.125×10–2—
1.90041 1.580 T(t, n)5He Integral 5.980—19.140 5 0.022 T(t, d)4H Integral 16.410—19.140 2 0.012 T(t, 2n)4He Differential 0.040—2.22 81 1.654 T(t, n)5He Differential 5.980—19.140 33 0.121 T(t, d)4H Differential 16.410—19.140 2 0.042 T(t, t)T Differential 1.582—2.013 18 3.509 Total 182
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