空间非均匀电场和辐射中的正负电子对振荡
Electron-positron pair oscillation in spatially inhomogeneous electric fields and radiation
摘要：
已知强电场从真空中产生电子和正电子对，并且由于反反应，这些对随时间上的交变电场相干地来回振荡。通过对能量、动量、粒子数守恒方程和麦克斯韦方程组的积分，我们研究了空间非均匀束缚电场中的这一现象。计算了电子对感应电场、电荷密度和电流密度的空间和时间演化。结果表明，非零电荷密度和对感应电场的传播与均匀和非束缚电场的情况不同。成对感应的电荷和电流的空间和时间变化发出电磁辐射。我们得到了该辐射的窄谱和强度，当电场强度为\sim Ec时，其峰值ω位于4KeV附近。我们讨论了它们与电子和正电子对生产的实验室实验和具有电磁结构的致密恒星的天体物理观测的相关性。
英文摘要：
It is known that strong electric fields produce electron and positron pairs from the vacuum, and due to the back-reaction these pairs oscillate back and forth coherently with the alternating electric fields in time. We study this phenomenon in spatially inhomogeneous and bound electric fields by integrating the equations of energymomentum and particle-number conservations and Maxwell equations. The space and time evolutions of the pair-induced electric field, electric charge- and currentdensities are calculated. The results show that non-vanishing electric charge-density and the propagation of pair-induced electric fields, differently from the case of homogeneous and unbound electric fields. The space and time variations of pair-induced electric charges and currents emit an electromagnetic radiation. We obtain the narrow spectrum and intensity of this radiation, whose peak ωpeak locates in the region around 4 KeV for electric field strength \sim Ec. We discuss their relevances to both the laboratory experiments for electron and positron pair-productions and the astrophysical observations of compact stars with an electromagnetic structure.
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