相对论重离子碰撞中束缚-自由电子-正电子对的产生
Bound-Free Electron-Positron Pair Production in Relativistic Heavy-Ion Collisions
摘要：
研究了相对论重离子碰撞中束缚-自由电子-正电子对的产生。特别是，截面计算的对生产的同时捕获的电子到1 s基态的离子之一，并为相关的相对论重离子对撞机（RHIC）和大型强子对撞机（LHC）的能量。在微扰论的框架下，我们应用蒙特卡罗积分技术，通过使用电子束缚态的达尔文波函数和正电子连续态的索默菲尔德-莫埃波函数来计算最低阶费恩曼图振幅。特别是对100 GeV/核子的Au + Au碰撞和3400 GeV/核子的Pb + Pb碰撞进行了计算。
英文摘要：
The bound-free electron-positron pair production is considered for relativistic heavy ion collisions. In particular, cross sections are calculated for the pair production with the simultaneous capture of the electron into the 1s ground state of one of the ions and for energies that are relevant for the Relativistic Heavy Ion Collider (RHIC) and the Large Hadron Colliders (LHC). In the framework of perturbation theory, we applied Monte-Carlo integration techniques to compute the lowest-order Feynman diagrams amplitudes by using Darwin wave functions for the bound states of the elec- trons and Sommerfeld-Maue wave functions for the continuum states of the positrons. Calculations were performed especially for the collision of Au + Au at 100 GeV/nucleon and Pb + Pb at 3400 GeV/nucleon.
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