We investigated the effects that occur during the circulation of ultrarelativistic electrons and positrons in the field of an X-ray pulsar. A resonant process in annihilation and the subsequent production of the electron–positron pairs were studied theoretically. Under the resonance, the second-order process in an original fine-structure constant process effectively decays to two first order processes of the fine-structure constant: single-photon annihilation of the electron–positron pair stimulated by the external field, and the Breit–Wheeler process (single-photon birth of the electron–positron pair) stimulated by the external field. We show that resonance has a threshold energy for a certain combinational energy of the initial electron and positron. Furthermore, there is a definite small angle between initial ultrarelativistic particles’ momenta, in which resonance takes place. Initial and final electron–positron pairs fly in a narrow cone. We noticed that electron (positron) emission angle defines the energy of the final pair. We show that the resonant cross-section in the field of the X-ray pulsar may significantly exceed the corresponding cross-section without the field (Bhabha cross-section).

中文翻译：

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re灭通道在X射线脉冲星场中超相对论电子与正电子相互作用中的共振效应

我们调查了超相对论电子和正电子在X射线脉冲星场中循环期间发生的影响。从理论上研究了hil没的共振过程以及随后产生的电子-正电子对。在共振下，原始精细结构常数过程中的二阶过程有效地衰减为精细结构常数的两个一阶过程：外场激发的电子-正电子对的单光子an灭，以及Breit –外场激发的惠勒过程（电子-正电子对的单光子诞生）。我们表明，对于初始电子和正电子的某种组合能量，共振具有阈值能量。此外，在初始超相对论粒子的动量之间存在一个确定的小角度，在该角度发生共振。初始和最终电子-正电子对在狭窄的圆锥体中飞行。我们注意到，电子（正电子）发射角定义了最后一对电子的能量。我们表明，X射线脉冲星场中的共振截面可能会大大超过没有该场的相应截面（Bhabha截面）。