Abstract
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).
Highlights
IntroductionAstroparticle physics lies between particle physics and cosmology and is rapidly evolving
Astroparticle physics lies between particle physics and cosmology and is rapidly evolving.In addition, for the development of an astrophysical object, quantum processes play the key roles [1]
It is shown that the resonance for the considered X-ray intensities is possible only when the combinational energy of the primary electron and positron energies surpasses threshold energy
Summary
Astroparticle physics lies between particle physics and cosmology and is rapidly evolving. Universe 2020, 6, 137 pair stimulated by the field of the X-ray pulsar and the Breit–Wheeler process (single-photon birth of the electron–positron pair) stimulated by the field of the X-ray pulsar (see Figure 1) Another important characteristics of Oleinik resonances is that the probability of the resonant processes in the external field can greatly surpass the probability of the process without an external field. That in a weak electromagnetic field, interference in the two resonant channels can be ignored due to the fact that they lie in different kinamitcs regions In this communication the resonant theory of the annihilation channel in the interaction between the ultrarelativistic electron and positron in the field of an X-ray pulsar is developed.
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