论文标题
Nakajima-Zwanzig投影方法的融合阻塞的动态研究
A Dynamical Study of Fusion Hindrance with Nakajima-Zwanzig Projection Method
论文作者
论文摘要
提出了一个新的框架，以研究非常重的离子之间的碰撞，从而导致超重元素（SHA）的综合，以解决融合的障碍现象。研究反应的动力学是根据具有不同时间尺度的放松过程的集体自由度来研究的。 Nakajima-Zwanzig投影算子方法被用来消除快速变量，并为仅具有慢变量的还原系统提供动态方程。在那里，时间演化运算符已重新归一化，并出现不均匀项，这代表了给定初始分布的传播。该术语会导致慢变量的初始值。我们期望这给出了Swiatecki等人引入的参数“注入点$ S $”的动态起源，以便重现SHE测量的横截面的绝对值。滑动公式是根据系统的物理参数给出的，该公式证实了最近使用langevin方程获得的结果。
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 variable 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 of parameter "injection point $s$" introduced by Swiatecki et al in order to reproduce absolute values of measured cross sections for SHE. Formula for the slip is given in terms of physical parameters of the system, which confirms the results recently obtained with a Langevin equation.
