Comment on the paper: ``Neutrino pair production by a virtual photon in an external magnetic field'' by Zhukovskii et al

TL;DR

This paper critiques Zhukovskii et al.'s work on neutrino pair production in magnetic fields, highlighting errors in their calculations and emphasizing that the problem remains unresolved.

Contribution

It clarifies errors in previous calculations, indicating the need for correct analysis to solve the neutrino pair production problem.

Findings

Previous calculations were incorrect

The problem remains unsolved due to these errors

Correct analysis is needed for progress

Abstract

We point out some serious mistakes in the investigation of Zhukovskii et al. Both the amplitude and the probability of the process were calculated wrongly, that is, the problem of the neutrino pair production by a virtual photon in an external magnetic field is still unsolved.