We link complex many-body correlations, which play a decisive role in the structural properties of atomic nuclei, to the electron capture occurring during star evolution. The recently developed finite-temperature response theory, taking into account the coupling between single-nucleon and collective degrees of freedom, is applied to spin-isospin transitions, which dominate the electron capture rates. Calculations are performed for ${}^{78}\mathrm{Ni}$ and for the surrounding even-even nuclei associated with a high-sensitivity region of the nuclear chart in the context of core-collapse supernova simulations. The obtained electron capture rates are compared to those of a simpler thermal quasiparticle random phase approximation (TQRPA), which is standardly used in such computations. The comparison indicates that correlations beyond TQRPA lead to significantly higher electron capture rates under the typical thermodynamical conditions.

中文翻译：

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复杂多体相关性对Ni78周围热激发核中电子俘获的影响

我们将在原子核的结构特性中起决定性作用的复杂多体关联与恒星演化过程中发生的电子捕获联系起来。考虑到单核子和集体自由度之间的耦合，最近开发的有限温度响应理论被应用于自旋-异旋旋跃迁，该跃迁主导了电子捕获率。针对以下内容执行计算${}^{78}你$在核塌陷超新星模拟的背景下，对于与核图高灵敏度区域相关的周围偶数偶数核。将获得的电子俘获速率与标准用于此类计算的更简单的热准粒子随机相位近似（TQRPA）进行比较。比较表明，在典型的热力学条件下，超过TQRPA的相关性会导致更高的电子捕获率。