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arXiv 2412.04410nucl-thnucl-ex
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涉及弯曲和扭动模式的裂变碎片的自旋分布

Spin distribution of fission fragments involving transverse vibrational modes

Voronezh State University(沃罗涅日国立大学);International Institute of Computer Technologies(国际计算机技术研究所)

D. E. Lyubashevsky, A. A. Pisklyukov, Yu. D. Shcherbina, T. Yu. Shashkina, P. V. Kostryukov

AI总结:

研究低能诱发和自发裂变中碎片自旋分布,通过两个预碎片的零点横向扭动和弯曲振荡构建模型,推导出自旋分布表达式,用流体动力学模型评估转动惯量,模型与最新数据相符,揭示了与其他方法的差异根源。

摘要:

我们给出了低能诱发裂变和自发裂变中产生的碎片自旋分布的封闭解析描述。在我们的模型中,高碎片自旋和相对轨道角动量源于两个预碎片的零点横向扭动和弯曲振荡,假设裂变系统在裂变前保持“冷”态,其可用能量以非平衡形变而非热量形式存储。从这两种模式的概率分布中,我们推导出了每个碎片自旋分布及其平均值的封闭表达式。决定性量是碎片转动惯量,我们在流体动力学模型中根据从测量的瞬发中子多重性重建的非平衡裂变形变来评估它。与关于\(^{232}Th(n,f)\)、\(^{238}U(n,f)\)和\(^{252}Cf(sf)\)的最新数据对比,该模型再现了平均自旋的大小及其对碎片质量的特征锯齿形依赖关系。与统计和微观方法的比较表明单个碎片的差异很大程度上可追溯到转动惯量的形变依赖性。

英文摘要:

A closed analytical description of fragment-spin distributions in low-energy induced and spontaneous fission is presented. The high fragment spins and the relative orbital angular momentum are assumed to arise from zero-point bending and wriggling oscillations of the pre-fragments near the scission point. The corresponding probability distributions yield the joint distribution of the fragment spins, the distribution of each spin, and the associated mean value. The fragment moments of inertia are calculated in a hydrodynamic model from non-equilibrium deformations at the scission point reconstructed from prompt-neutron multiplicities. For $\rm ^{232}Th(n,f)$, $\rm ^{238}U(n,f)$, and $\rm ^{252}Cf(sf)$, the model reproduces the magnitude and sawtooth mass dependence of the measured mean spins. The zero-point approximation is applied only to the bending and wriggling oscillations and does not require dissipationless motion of the fissioning nucleus from saddle to scission.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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