In an experiment currently being performed at the Institute for High Energy Physics, Serpukhov, Russia, a beam of charged kaons is directed on a copper target. In the electromagnetic field of the target nuclei, two reactions occur. A peculiar distinction between these two reactions is that there is a chiral anomaly contribution in the former reaction, but not in the latter. This contribution can be directly seen through comparison of the cross sections of these reactions near the threshold. In Ref.  expressions for these cross sections are derived taking into account the anomaly and the contributionof the lightest vector mesons. In this talk an overview of the derivation is provided and cross sections numerical values near the threshold are presented.
A review of the current status of the theory of massive neutrino radiative decay is presented. We develop our previous studies and perform the detailed analysis of the process of radiative decay of a massive Dirac neutrino in an intense external magnetic field in the presence of medium. The probability of the mentioned above process is calculated. It is found out that the presence of a dense medium essentially increases the rate of decay as compared to the rate of decay in magnetic field. Possible astrophysical applications of the obtained results are considered.
The paper considers plane-wave solutions of the Yang–Mills equations, which allow one to write out three systems of equations modeling the Yang–Mills system. An explicit form of all plane-wave solutions of the Yang–Mills equations with the SU(2) gauge symmetry and zero current in a (pseudo)Euclidean space of arbitrary finite dimension is presented.