The generalized time-dependent generator coordinate method (TD-GCM) is extended to include pairing correlations. The correlated GCM nuclear wave function is expressed in terms of time-dependent generator states and weight functions. The particle–hole channel of the effective interaction is determined by a Hamiltonian derived from an energy density functional, while pairing is treated dynamically in the standard BCS approximation with time-dependent pairing tensor and single-particle occupation probabilities. With the inclusion of pairing correlations, various time-dependent phenomena in open-shell nuclei can be described more realistically. The model is applied to the description of saddle-to-scission dynamics of induced fission. The generalized TD-GCM charge yields and total kinetic energy distribution for the fission of ²⁴⁰Pu, are compared to those obtained using the standard time-dependent density functional theory (TD-DFT) approach, and with available data.

广义时间相关生成器坐标方法 (TD-GCM) 被扩展为包括配对相关性。相关的 GCM 核波函数用时间相关的发生器状态和权重函数来表示。有效相互作用的粒子-空穴通道由从能量密度泛函导出的哈密顿量确定，而配对在标准 BCS 近似中动态处理，具有依赖于时间的配对张量和单粒子占据概率。通过包含配对相关性，可以更真实地描述开壳核中的各种时间相关现象。该模型应用于诱导裂变的鞍-裂动力学的描述。将²⁴⁰ Pu裂变的广义 TD-GCM 电荷产率和总动能分布与使用标准瞬态密度泛函理论 (TD-DFT) 方法获得的结果以及可用数据进行比较。