The Gamow-Teller (GT)transitions play an important role in the dynamic of the final evolution of stars and the core collapse of supernovae.Based on nuclear shell model,we calculated the GT resonance transition matrix elements of the sd shell and the pf shell nuclei by using FFN’s method.According to Hillman’s single particle e-nergy for sd shell and pf shell nuclei,we calculate the excited energy,and analyzed our results.The results not only provide a reference for calculation of electron capture as FFN’s model is used,but also can show a comparison with the GT transition by using the other models.%Gamow-Teller（GT）跃迁对恒星晚期演化和超新星核坍缩中的动力学有重要影响。基于核壳层模型的基础上，应用 FFN 对 GT共振跃迁矩阵元的计算方法，对 sd 壳层与 pf壳层核的 GT共振跃迁矩阵元进行计算；根据Hillman的 sd壳层与 pf壳层中单个粒子的能量，对其激发能进行计算，并对数据规律进行分析讨论。一般地，在跃迁轨道相同的情况下，当质子数相同时，跃迁矩阵元随质量数的增加而减小；当质量数相同时，跃迁矩阵元随质子数增加而增加。其结果可为 FFN 模型的电子俘获率计算提供参考数据，且为其他模型计算的 GT跃迁提供对比数据。
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