A new framework is proposed for the study of collisions between very heavy ions which lead to the synthesis of Super-Heavy Elements (SHE), to address the fusion hindrance phenomenon. The dynamics of the reaction is studied in terms of collective degrees of freedom undergoing relaxation processes with different time scales. The Nakajima–Zwanzig projection operator method is employed to eliminate fast variables and derive a dynamical equation for the reduced system with only slow variables. There, the time evolution operator is renormalised and an inhomogeneous term appears, which represents a propagation of the given initial distribution. The term results in a slip to the initial values of the slow variables. We expect that gives a dynamical origin for the so-called “injection point $s$” introduced by Swiatecki et al. in order to reproduce absolute values of measured cross sections for SHE. A formula for the slip is given in terms of physical parameters of the system, which confirms the results recently obtained with a Langevin equation, and permits us to compare various incident channels.

中文翻译：

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用 Nakajima-Zwanzig 投影法进行融合阻碍的动力学研究

提出了一个新的框架来研究导致超重元素 (SHE) 合成的重离子之间的碰撞，以解决聚变阻碍现象。根据经历不同时间尺度的弛豫过程的集体自由度来研究反应的动力学。Nakajima-Zwanzig 投影算子方法用于消除快变量，并为只有慢变量的简化系统推导出动力学方程。在那里，时间演化算子被重新归一化，并且出现了一个非齐次项，它表示给定初始分布的传播。该术语导致慢变量的初始值滑动。我们预计这会为 Swiatecki 等人引入的所谓“注入点 $s$”提供动态起源。为了重现 SHE 测量横截面的绝对值。根据系统的物理参数给出了滑移公式，它证实了最近用朗之万方程获得的结果，并允许我们比较各种入射通道。