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Reliable calculations of nuclear binding energies by the Gaussian process of machine learning 通过机器学习的高斯过程可靠计算核结合能
IF 2.8 1区 物理与天体物理 Q1 NUCLEAR SCIENCE & TECHNOLOGY Pub Date : 2024-06-18 DOI: 10.1007/s41365-024-01463-9
Zi-Yi Yuan, Dong Bai, Zhen Wang, Zhong-Zhou Ren

Reliable calculations of nuclear binding energies are crucial for advancing the research of nuclear physics. Machine learning provides an innovative approach to exploring complex physical problems. In this study, the nuclear binding energies are modeled directly using a machine-learning method called the Gaussian process. First, the binding energies for 2238 nuclei with (Z > 20) and (N > 20) are calculated using the Gaussian process in a physically motivated feature space, yielding an average deviation of 0.046 MeV and a standard deviation of 0.066 MeV. The results show the good learning ability of the Gaussian process in the studies of binding energies. Then, the predictive power of the Gaussian process is studied by calculating the binding energies for 108 nuclei newly included in AME2020. The theoretical results are in good agreement with the experimental data, reflecting the good predictive power of the Gaussian process. Moreover, the (alpha)-decay energies for 1169 nuclei with (50 le Z le 110) are derived from the theoretical binding energies calculated using the Gaussian process. The average deviation and the standard deviation are, respectively, 0.047 MeV and 0.070 MeV. Noticeably, the calculated (alpha)-decay energies for the two new isotopes (^{204})Ac (Huang et al. Phys Lett B 834, 137484 (2022)) and (^{207})Th (Yang et al. Phys Rev C 105, L051302 (2022)) agree well with the latest experimental data. These results demonstrate that the Gaussian process is reliable for the calculations of nuclear binding energies. Finally, the (alpha)-decay properties of some unknown actinide nuclei are predicted using the Gaussian process. The predicted results can be useful guides for future research on binding energies and (alpha)-decay properties.

可靠的核结合能计算对于推动核物理研究至关重要。机器学习为探索复杂的物理问题提供了一种创新方法。在这项研究中,使用一种名为高斯过程的机器学习方法直接对核结合能进行建模。首先,利用高斯过程在物理激励的特征空间中计算了2238个具有(Z >20)和(N >20)的原子核的结合能,得出平均偏差为0.046 MeV,标准偏差为0.066 MeV。结果表明,高斯过程在结合能研究中具有良好的学习能力。然后,通过计算新纳入 AME2020 的 108 个原子核的结合能,研究了高斯过程的预测能力。理论结果与实验数据十分吻合,反映了高斯过程良好的预测能力。此外,利用高斯过程计算的理论结合能还得出了1169个原子核的α衰变能。平均偏差和标准偏差分别为 0.047 MeV 和 0.070 MeV。值得注意的是,两种新同位素 (^{204})Ac (Huang et al. Phys Lett B 834, 137484 (2022))和 (^{207})Th (Yang et al. Phys Rev C 105, L051302 (2022))的(α)-衰变能与最新的实验数据吻合得很好。这些结果表明高斯过程对于核结合能的计算是可靠的。最后,利用高斯过程预测了一些未知锕系元素核的(α)衰变特性。这些预测结果可以为今后研究结合能和(α)衰变特性提供有用的指导。
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引用次数: 0
First-principles study on the diffusion behavior of Cs and I in Cr coating 铬涂层中铯和碘扩散行为的第一原理研究
IF 2.8 1区 物理与天体物理 Q1 NUCLEAR SCIENCE & TECHNOLOGY Pub Date : 2024-06-18 DOI: 10.1007/s41365-024-01460-y
Shu-Ying Lin, Xiao-Jing Li, Lin-Bing Jiang, Xi-Jun Wu, Hui-Qin Yin, Yu Ma, Wen-Guan Liu

Cs and I can migrate through fuel-cladding interfaces and accelerate the cladding corrosion process induced by the fuel-cladding chemical interaction. Cr coating has emerged as an important candidate for mitigating this chemical interaction. In this study, first-principles calculations were employed to investigate the diffusion behavior of Cs and I in the Cr bulk and grain boundaries to reveal the microscopic interaction mitigation mechanisms at the fuel-cladding interface. The interaction between these two fission products and the Cr coating were studied systematically, and the Cs and I temperature-dependent diffusion coefficients in Cr were obtained using Bocquet’s oversized solute-atom model and Le Claire’s nine-frequency model, respectively. The results showed that the Cs and I migration barriers were significantly lower than that of Cr, and the Cs and I diffusion coefficients were more than three orders of magnitude larger than the Cr self-diffusion coefficient within the temperature range of Generation-IV fast reactors (below 1000 K), demonstrating the strong penetration ability of Cs and I. Furthermore, Cs and I are more likely to diffuse along the grain boundary because of the generally low migration barriers, indicating that the grain boundary serves as a fast diffusion channel for Cs and I.

铯和碘可以通过燃料-包壳界面迁移,并加速燃料-包壳化学作用引起的包壳腐蚀过程。铬涂层已成为减轻这种化学作用的重要候选材料。本研究采用第一性原理计算来研究铯和碘在铬的块体和晶界中的扩散行为,以揭示燃料-包壳界面上的微观相互作用缓解机制。系统研究了这两种裂变产物与铬包层之间的相互作用,并利用 Bocquet 的超大溶质原子模型和 Le Claire 的九频模型分别求出了 Cs 和 I 在铬中随温度变化的扩散系数。结果表明,在第四代快堆温度范围内(1000 K 以下),铯和碘的迁移障碍明显低于铬,铯和碘的扩散系数比铬的自扩散系数大三个数量级以上,这表明铯和碘具有很强的渗透能力。此外,由于铯和碘的迁移障碍普遍较低,它们更容易沿着晶界扩散,这表明晶界是铯和碘的快速扩散通道。
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引用次数: 0
An improved analysis method for assessing the nuclear-heating impact on the stability of toroidal field magnets in fusion reactors 评估核加热对聚变反应堆环形磁场磁铁稳定性影响的改进分析方法
IF 2.8 1区 物理与天体物理 Q1 NUCLEAR SCIENCE & TECHNOLOGY Pub Date : 2024-06-18 DOI: 10.1007/s41365-024-01459-5
Yu-Dong Lu, Jin-Xing Zheng, Xu-Feng Liu, Huan Wu, Jian Ge, Kun Xu, Ming Li, Hai-Yang Liu, Lei Zhu, Fei Liu

The superconducting magnet system of a fusion reactor plays a vital role in plasma confinement, a process that can be disrupted by various operational factors. A critical parameter for evaluating the temperature margin of superconducting magnets during normal operation is the nuclear heating caused by D–T neutrons. This study investigates the impact of nuclear heating on a superconducting magnet system by employing an improved analysis method that combines neutronics and thermal hydraulics. In the magnet system, toroidal field (TF) magnets are positioned closest to the plasma and bear the highest nuclear-heat load, making them prime candidates for evaluating the influence of nuclear heating on stability. To enhance the modeling accuracy and facilitate design modifications, a parametric TF model that incorporates heterogeneity is established to expedite the optimization design process and enhance the accuracy of the computations. A comparative analysis with a homogeneous TF model reveals that the heterogeneous model improves accuracy by over 12%. Considering factors such as heat load, magnetic-field strength, and cooling conditions, the cooling circuit facing the most severe conditions is selected to calculate the temperature of the superconductor. This selection streamlines the workload associated with thermal-hydraulic analysis. This approach enables a more efficient and precise evaluation of the temperature margin of TF magnets. Moreover, it offers insights that can guide the optimization of both the structure and cooling strategy of superconducting magnet systems.

聚变反应堆的超导磁体系统在等离子体约束过程中起着至关重要的作用,而这一过程可能会受到各种运行因素的干扰。在正常运行期间,评估超导磁体温度裕度的一个关键参数是 D-T 中子引起的核加热。本研究采用一种结合了中子学和热水力学的改进分析方法,研究了核加热对超导磁体系统的影响。在磁体系统中,环形磁场(TF)磁体的位置最靠近等离子体,承受的核热负荷最大,因此是评估核加热对稳定性影响的主要候选磁体。为了提高建模精度并方便设计修改,我们建立了一个包含异质性的 TF 参数模型,以加快优化设计过程并提高计算精度。与同质 TF 模型的对比分析表明,异质模型的精度提高了 12% 以上。考虑到热负荷、磁场强度和冷却条件等因素,选择条件最苛刻的冷却回路来计算超导体的温度。这种选择简化了与热液压分析相关的工作量。这种方法可以更高效、更精确地评估 TF 磁体的温度裕度。此外,它还能为超导磁体系统结构和冷却策略的优化提供指导。
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引用次数: 0
One-neutron stripping process in the 209Bi(6Li, 5Li)210Bi* reaction reaction 209Bi(6Li, 5Li)210Bi* 反应中的单中子剥离过程
IF 2.8 1区 物理与天体物理 Q1 NUCLEAR SCIENCE & TECHNOLOGY Pub Date : 2024-06-18 DOI: 10.1007/s41365-024-01462-w
Gao-Long Zhang, Zhen-Wei Jiao, Guang-Xin Zhang, E. N. Cardozo, B. Paes, Shi-Peng Hu, Jian-Qiang Qian, Daniele Mengoni, Wei-Wei Qu, Cong-Bo Li, Yun Zheng, Huan-Qiao Zhang, Hui-Bin Sun, Nan Wang, Chun-Lei Zhang, J. J. Valiente-Dobón, D. Testov, M. Mazzocco, A. Gozzelino, C. Parascandolo, D. Pierroutsakou, M. La Commara, A. Goasduff, D. Bazzacco, D. R. Napoli, F. Galtarossa, F. Recchia, A. Illana, S. Bakes, I. Zanon, S. Aydin, G. de Angelis, M. Siciliano, R. Menegazzo, S. M. Lenzi, S. Akkoyun, L. F. Canto, J. Lubian

One-neutron stripping process between (^{6})Li and (^{209})Bi was studied at 28, 30, and 34 MeV using the in-beam (gamma )-ray spectroscopy method. The (gamma )(gamma ) coincident analysis clearly identified two (gamma )-rays feeding the ground and long-lived isomeric states, which were employed to determine the cross section. The one-neutron stripping cross sections were similar to the cross sections of complete fusion in the (^6)Li+(^{209})Bi system, but the one-neutron stripping cross sections decreased more gradually at the sub-barrier region. A coupled-reaction-channel calculation was performed to study the detailed reaction mechanism of the one-neutron stripping process in (^6)Li. The calculations indicated that the first excited state of (^5)Li is critical in the actual one-neutron transfer mechanism, and the valence proton of (^{209}textrm{Bi}) can be excited to the low-lying excited state in ((^{6}textrm{Li}),(^{5}textrm{Li})) reaction, unlike in the (d,p) reaction.

使用束内(γ)-射线光谱法研究了在(^{6})28、30和34 MeV下(^{209})Li和(^{209})Bi之间的一中子剥离过程。(γ)-(γ)重合分析清楚地识别出了两种(γ)-射线,它们分别为地面态和长寿命异构态提供能量,并被用来确定截面。一中子剥离截面与 (^6)Li+(^{209})Bi 体系中完全聚变的截面相似,但一中子剥离截面在亚势垒区会逐渐减小。为了研究 (^6)Li 中一中子剥离过程的详细反应机制,我们进行了耦合反应通道计算。计算结果表明,在实际的一中子转移机制中,(^{5)Li 的第一激发态是关键的,而且在((^{6}textrm{Li}),(^{5}textrm{Li}))反应中,与(d,p)反应不同,(^{209}textrm{Bi})的价质子可以被激发到低电平激发态。
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引用次数: 0
Transverse mode-coupling instability with longitudinal impedance 具有纵向阻抗的横向模式耦合不稳定性
IF 2.8 1区 物理与天体物理 Q1 NUCLEAR SCIENCE & TECHNOLOGY Pub Date : 2024-06-18 DOI: 10.1007/s41365-024-01472-8
Hai-Sheng Xu, Chun-Tao Lin, Na Wang, Jing-Ye Xu, Yuan Zhang

Transverse mode-coupling instability (TMCI) is a dangerous transverse single-bunch instability that can lead to severe particle loss. The mechanism of TMCI can be explained by the coupling of transverse coherent oscillation modes owing to the transverse short-range wakefield (i.e., the transverse broadband impedance). Recent studies on future circular colliders, e.g., FCC-ee, showed that the threshold of TMCI decreased significantly when both longitudinal and transverse impedances were included. We performed computations for the circular electron–positron collider (CEPC) and observed a similar phenomenon. Systematic studies on the influence of longitudinal impedance on the TMCI threshold were conducted. We concluded that the imaginary part of the longitudinal impedance, which caused a reduction in the incoherent synchrotron tune, was the primary reason for the reduction in the TMCI threshold. Additionally, the real part of the longitudinal impedance assists in increasing the TMCI threshold.

横向模式耦合不稳定性(TMCI)是一种危险的横向单束不稳定性,可导致严重的粒子损失。TMCI的机理可以用横向短程唤醒场(即横向宽带阻抗)导致的横向相干振荡模式耦合来解释。最近对未来环形对撞机(如 FCC-ee)的研究表明,当纵向和横向阻抗都包括在内时,TMCI 的阈值会显著降低。我们对环形电子-正电子对撞机(CEPC)进行了计算,观察到了类似的现象。我们对纵向阻抗对 TMCI 门限的影响进行了系统研究。我们得出的结论是,纵向阻抗的虚部导致非相干同步加速器调谐减弱,是 TMCI 门限降低的主要原因。此外,纵向阻抗的实部也有助于提高 TMCI 门限。
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引用次数: 0
Cr-induced fusion reactions to synthesize superheavy elements 铬诱导聚变反应合成超重元素
IF 2.8 1区 物理与天体物理 Q2 Energy Pub Date : 2024-06-03 DOI: 10.1007/s41365-024-01449-7
S. Madhu, H. C. Manjunatha, N. Sowmya, B. M. Rajesh, L. Seenappa, R. S. Susheela

We investigated (^{50,52-54})Cr-induced fusion reactions for the synthesis of the superheavy element in the (104le Zle 122) range. The cross sections produced in this investigation using (^{54})Cr projectiles were compared with those obtained in prior experiments. The estimated cross sections from this analysis are consistent with the findings of prior studies. From the current study, the predicted cross section was found to be 42fb at 236 MeV for (^{53})Cr+(^{243})Am, 23.2 fb at 236 MeV for (^{54})Cr+(^{247})Cm, 95.6 fb at 240 MeV for (^{53})Cr+(^{248})Bk, and 1.33 fb at 242 MeV for (^{53})Cr+(^{250})Cf. Consequently, these projected cross sections with excitation energy and beam energy will be useful in future Cr-induced fusion reaction investigations.

我们研究了 (^{50,52-54})Cr 引发的核聚变反应,用于合成 (104le Zle 122) 范围内的超重元素。这项研究中使用(^{54})Cr射弹产生的截面与之前实验中获得的截面进行了比较。分析得出的估计截面与之前的研究结果一致。在目前的研究中,发现 (^{53})Cr+(^{243})Am 在 236 MeV 时的预测截面为 42 fb,(^{54})Cr+(^{247})Cm 在 236 MeV 时的预测截面为 23.2 fb,(^{53})Cr+(^{248})Bk 在 240 MeV 时的预测截面为 95.6 fb,而(^{53})Cr+(^{248})Bk 在 242 MeV 时的预测截面为 1.因此,这些随激发能量和束流能量变化的预测截面将有助于未来的铈诱导聚变反应研究。
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引用次数: 0
Improved nuclear mass formula with an additional term from the Fermi gas model 利用费米气体模型的附加项改进核质量公式
IF 2.8 1区 物理与天体物理 Q2 Energy Pub Date : 2024-06-03 DOI: 10.1007/s41365-024-01450-0
Xiao-Yu Xu, Li Deng, Ai-Xi Chen, Hang Yang, Amir Jalili, Han-Kui Wang

Nuclear mass is a fundamental property of nuclear physics and a necessary input in nuclear astrophysics. Owing to the complexity of atomic nuclei and nonperturbative strong interactions, conventional physical models cannot completely describe nuclear binding energies. In this study, the mass formula was improved by considering an additional term from the Fermi gas model. All nuclear masses in the Atomic Mass Evaluation Database were reproduced with a root-mean-square deviation (RMSD) of (sim)1.86 MeV (1.92 MeV). The new mass formula exhibits good performance in the neutron-rich nuclear region. The RMSD decreases to 0.393 MeV when the ratio of the neutron number to the proton number is (ge)1.6.

核质量是核物理的基本属性,也是核天体物理学的必要输入。由于原子核和非微扰强相互作用的复杂性,传统物理模型无法完全描述核结合能。在这项研究中,通过考虑费米气体模型的附加项,对质量公式进行了改进。原子质量评估数据库中的所有核质量都得到了重现,均方根偏差(RMSD)为 1.86 MeV (1.92 MeV)。新的质量公式在富中子核区表现出良好的性能。当中子数与质子数之比为(ge)1.6时,RMSD下降到0.393 MeV。
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引用次数: 0
Ultrahigh spatiotemporal resolution beam signal reconstruction with bunch phase compensation 带束相位补偿的超高时空分辨率光束信号重建
IF 2.8 1区 物理与天体物理 Q2 Energy Pub Date : 2024-06-03 DOI: 10.1007/s41365-024-01444-y
You-Ming Deng, Yong-Bin Leng, Xing-Yi Xu, Jian Chen, Yi-Mei Zhou

Various electromagnetic signals are excited by the beam in the acceleration and beam-diagnostic elements of a particle accelerator. It is important to obtain time-domain waveforms of these signals with high temporal resolution for research, such as the study of beam–cavity interactions and bunch-by-bunch parameter measurements. Therefore, a signal reconstruction algorithm with ultrahigh spatiotemporal resolution and bunch phase compensation based on equivalent sampling is proposed in this paper. Compared with traditional equivalent sampling, the use of phase compensation and setting the bunch signal zero-crossing point as the time reference can construct a more accurate reconstructed signal. The basic principles of the method, simulation, and experimental comparison are also introduced. Based on the beam test platform of the Shanghai Synchrotron Radiation Facility (SSRF) and the method of experimental verification, the factors that affect the reconstructed signal quality are analyzed and discussed, including the depth of the sampled data, quantization noise of analog-to-digital converter, beam transverse oscillation, and longitudinal oscillation. The results of the beam experiments show that under the user operation conditions of the SSRF, a beam excitation signal with an amplitude uncertainty of 2% can be reconstructed.

粒子加速器的加速和束流诊断元件中的束流会激发各种电磁信号。获取这些信号的高时间分辨率时域波形对于研究(如研究束腔相互作用和逐束参数测量)非常重要。因此,本文提出了一种基于等效采样的具有超高时空分辨率和束相补偿的信号重建算法。与传统的等效采样相比,使用相位补偿并将信号束的零交叉点设置为时间基准,可以构建出更精确的重建信号。本文还介绍了该方法的基本原理、仿真和实验对比。基于上海同步辐射设施(SSRF)的波束测试平台和实验验证方法,分析讨论了影响重建信号质量的因素,包括采样数据的深度、模数转换器的量化噪声、波束横向振荡和纵向振荡。光束实验结果表明,在 SSRF 的用户操作条件下,可以重建振幅不确定度为 2% 的光束激励信号。
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引用次数: 0
High-resolution neutronics model for 238Pu production in high-flux reactors 高通量反应堆生产 238Pu 的高分辨率中子模型
IF 2.8 1区 物理与天体物理 Q2 Energy Pub Date : 2024-06-03 DOI: 10.1007/s41365-024-01461-x
Qing-Quan Pan, Qing-Fei Zhao, Lian-Jie Wang, Bang-Yang Xia, Yun Cai, Jin-Biao Xiong, Xiao-Jing Liu

We proposed and compared three methods (filter burnup, single energy burnup, and burnup extremum analysis) to build a high-resolution neutronics model for 238Pu production in high-flux reactors. The filter burnup and single energy burnup methods have no theoretical approximation and can achieve a spectrum resolution of up to ~ 1 eV, thereby constructing the importance curve and yield curve of the full energy range. The burnup extreme analysis method combines the importance and yield curves to consider the influence of irradiation time on production efficiency, thereby constructing extreme curves. The three curves, which quantify the transmutation rate of the nuclei in each energy region, are of physical significance because they have similar distributions. A high-resolution neutronics model for 238Pu production was established based on these three curves, and its universality and feasibility were proven. The neutronics model can guide the neutron spectrum optimization and improve the yield of 238Pu by up to 18.81%. The neutronics model revealed the law of nuclei transmutation in all energy regions with high spectrum resolution, thus providing theoretical support for high-flux reactor design and irradiation production of 238Pu.

我们提出并比较了三种方法(滤波燃耗法、单能燃耗法和燃耗极值分析法),以建立高通量反应堆 238Pu 产率的高分辨率中子学模型。滤波燃耗法和单能量燃耗法没有理论近似,可实现高达 ~ 1 eV 的频谱分辨率,从而构建全能量范围的重要性曲线和产率曲线。燃烧极限分析方法结合了重要性曲线和产量曲线,考虑了辐照时间对生产效率的影响,从而构建了极限曲线。这三条曲线量化了每个能量区域的原子核嬗变率,具有相似的分布,因此具有重要的物理意义。根据这三条曲线建立了 238Pu 生产的高分辨率中子模型,并证明了其普遍性和可行性。该中子模型可指导中子谱优化,使 238Pu 的产率提高达 18.81%。中子模型以高光谱分辨率揭示了所有能区的原子核嬗变规律,从而为高通量反应堆设计和辐照生产 238Pu 提供了理论支持。
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引用次数: 0
Research on a Monte Carlo global variance reduction method based on an automatic importance sampling method 基于自动重要度抽样法的蒙特卡罗全局方差缩小法研究
IF 2.8 1区 物理与天体物理 Q2 Energy Pub Date : 2024-05-31 DOI: 10.1007/s41365-024-01404-6
Yi-Sheng Hao, Zhen Wu, Shen-Shen Gao, Rui Qiu, Hui Zhang, Jun-Li Li

Global variance reduction is a bottleneck in Monte Carlo shielding calculations. The global variance reduction problem requires that the statistical error of the entire space is uniform. This study proposed a grid-AIS method for the global variance reduction problem based on the AIS method, which was implemented in the Monte Carlo program MCShield. The proposed method was validated using the VENUS-III international benchmark problem and a self-shielding calculation example. The results from the VENUS-III benchmark problem showed that the grid-AIS method achieved a significant reduction in the variance of the statistical errors of the MESH grids, decreasing from 1.08 × 10–2 to 3.84 × 10–3, representing a 64.00% reduction. This demonstrates that the grid-AIS method is effective in addressing global issues. The results of the self-shielding calculation demonstrate that the grid-AIS method produced accurate computational results. Moreover, the grid-AIS method exhibited a computational efficiency approximately one order of magnitude higher than that of the AIS method and approximately two orders of magnitude higher than that of the conventional Monte Carlo method.

全局方差缩小是蒙特卡洛屏蔽计算中的一个瓶颈。全局方差缩小问题要求整个空间的统计误差是均匀的。本研究提出了一种基于 AIS 方法的网格-AIS 方法来解决全局方差缩小问题,并在蒙特卡罗程序 MCShield 中实现了该方法。利用 VENUS-III 国际基准问题和自屏蔽计算实例对所提出的方法进行了验证。VENUS-III 基准问题的结果表明,网格-AIS 方法显著降低了 MESH 网格的统计误差方差,从 1.08 × 10-2 降至 3.84 × 10-3,降幅达 64.00%。这表明网格-AIS 方法能有效解决全球性问题。自屏蔽计算的结果表明,网格-AIS 方法产生了精确的计算结果。此外,网格-AIS 方法的计算效率比 AIS 方法高出约一个数量级,比传统的蒙特卡罗方法高出约两个数量级。
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引用次数: 0
期刊
Nuclear Science and Techniques
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