Chapter V. A Coupled Channel Variational Method for Microscopic Study of Reactions between Complex Nuclei
Chapter V. A Coupled Channel Variational Method for Microscopic Study of Reactions between Complex Nuclei
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DOI：
10.1143/ptps.62.236
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发表时间：
1977-02
影响因子：
--
通讯作者：
M. Kamimura
中科院分区：
文献类型：
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作者：
M. Kamimura
本文对散射矩阵的Kohn-Hulthen-Kato变分法作了精确的推广，用于多道耦合复杂核反应的微观研究。用共振群方法（RGM）给出了两团簇体系和三团簇体系的理论框架。散射边界条件施加在动力学坐标空间的试验函数上，而内部区域的RGM试验基函数之间所需的矩阵元素用生成坐标（GC）核和相应的GC试验基函数来描述。详细的数值试验表明，显示出很好的精度和足够短的计算时间在本方法的结果，这是令人鼓舞的，足以将该方法应用到各种反应的耦合通道研究的基础上的微观模型和某些唯象模型。
A precise generalization of the Kohn-Hulthen-Kato variational method for scattering matrix is made for the purpose of microscopic study of reactions between complex nuclei with many channels coupled. The frameworks is given by the resonating group method (RGM) both for two-cluster systems and for three-cluster systems. The scattering boundary condition is imposed on the trial functions of the dynamical coordinate space, while the requires matrix elements between the RGM trial basis functions for the internal region are described in terms of the generator coordinate (GC) kernels and the corresponding GC trial basis functions. Detailed numerical tests are exhibited with showing very good accuracy and sufficiently short computational time in the result of the present method, which is encouraging enough to apply the method to coupled channel studies of various-kind reactions based both on the microscopic models and on certain phenomenological models.