The article presents a theoretical study of Oleinik resonances in the process of scattering a gamma quantum by an ultrarelativistic electron in the field of a strong electromagnetic wave. It is shown that under resonant conditions, the scattering channels of the reaction effectively split into two first-order processes according to a fine structure constant such as the external field-stimulated Compton effect. And the annihilation channel of the reaction effectively decays into direct and reverse the external field-stimulated Breit-Wheeler processes. The significant dependence of the resonant energy of final particles and resonant cross sections on the outgoing angles of the final gamma quantum, the number of absorbed and emitted photons of the wave, as well as the characteristic quantum parameters of the problem is shown. These quantum parameters are determined by the ratio of the initial particle energies to the characteristic energies of the Compton effect and the Breit-Wheeler process. An unambiguous relationship between the outgoing angles of final electrons and gamma quanta has been obtained, which qualitatively distinguishes the resonant process from the non-resonant one. The cases when the energy of the initial electrons significantly exceeds the energy of the initial gamma quanta have been studied. The conditions under which the energy of high-energy initial electrons is converted into the energy of final gamma quanta are obtained. At the same time, the resonant differential cross-section of such a process significantly (by several orders of magnitude) exceeds the corresponding non-resonant cross-section. This theoretical study predicts a number of new physical effects that may explain the high-energy fluxes of gamma quanta born near neutron stars and magnetars.
Dispersion theory of nucleon (nucleus) Compton scattering spin polarizabilities and quasi-optical $γ$-ray polarization plane rotation and birefringence effect in a matter with polarized protons (nuclei)
The generation of narrow ultrarelativistic beams of positrons (electrons) in the process of resonant photogeneration of pairs on nuclei in a strong electromagnetic field
Semi-classical calculation of the number of photons emitted by a relativistic neutrino with mass and magnetic moment passing through a transverse magnetic field
Study of resonant processes for multi-pion production in $\bar p +p\to\ell ^++\ell^- +n_ππ$ annihilation
在基于类Compton Feynman振幅的唯象方法框架下，我们研究了反质子核子碰撞中的多π介子产生。该反应的主要兴趣是研究可能的$\bar N N$原子及其共振的性质的可能性。对于形成标量或赝标量共振态的情况，用$I^G(J^{P})=1^-(0^{\pm}),~0^+(0^-)$得到了数值结果。在测量了π介子不变质量的实验装置中，给出了微分截面与轻子对和π介子不变质量的显式关系。
