Alternative methods to calculate neutron capture cross sections on radioactive nuclei are reported using the theory of Inclusive Non-Elastic Breakup (INEB) developed by Hussein and McVoy [1]. The statistical coupled-channels theory proposed in Ref. [2] is further extended in the realm of random matrices. The case of reactions with the projectile and the target being two-cluster nuclei is also analyzed and applications are made for scattering from a deuteron target [3]. An extension of the theory to a three-cluster projectile incident on a two-cluster target is also discussed. The theoretical developments described here should open new possibilities to obtain information on the neutron capture cross sections of radioactive nuclei using indirect methods.

中文翻译：

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放射性核的中子俘获截面

使用 Hussein 和 McVoy 开发的包容性非弹性分解 (INEB) 理论报告了计算放射性核的中子俘获截面的替代方法 [1]。参考文献中提出的统计耦合信道理论。[2] 进一步扩展到随机矩阵领域。还分析了与射弹和目标是双簇核反应的情况，并应用了来自氘核目标的散射 [3]。还讨论了该理论对两簇目标的三簇射弹事件的扩展。这里描述的理论发展应该开辟新的可能性，以使用间接方法获取有关放射性核的中子俘获截面的信息。