库仑势垒附近超临界铀-铀碰撞中正负电子产生的计算
Calculation of electron-positron production in supercritical uranium-uranium collisions near the Coulomb barrier
摘要：
采用映射的傅立叶网格矩阵表示，在近似近似下求解了含时Dirac方程，研究了零碰撞参数裸碰撞的U-U碰撞过程。总共2048个状态，包括约束，以及正能量和负能量状态的N=1024空间网格进行传播，产生占领幅度作为核间分离的函数。从这些振幅谱计算总包含的正电子和电子的生产，以及（$e^+,e^-$）对生产的相关光谱。这些被分析为核粘附时间的函数，以建立自发对产生的特征，即，QED真空衰变研究了亚临界Fr-Fr碰撞和高超临界Db-Db碰撞，并与U-U碰撞结果进行了对比。
英文摘要：
The time-dependent Dirac equation was solved for zero-impact-parameter bare U-U collisions in the monopole approximation using a mapped Fourier grid matrix representation. A total of 2048 states including bound, as well as positive- and negative-energy states for an N=1024 spatial grid were propagated to generate occupation amplitudes as a function of internuclear separation. From these amplitudes spectra were calculated for total inclusive positron and electron production, and also the correlated spectra for ($e^+,e^-$) pair production. These were analyzed as a function of nuclear sticking time in order to establish signatures of spontaneous pair creation, i.e., QED vacuum decay. Subcritical Fr-Fr and highly supercritical Db-Db collisions both at the Coulomb barrier were also studied and contrasted with the U-U results.
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