On the "Field-Theoretical Approach" to the Neutron-Antineutron Oscillations in Nuclei

TL;DR

This paper clarifies that proper analytical treatment eliminates infrared divergences in neutron-antineutron oscillations in nuclei, showing these oscillations are strongly suppressed compared to vacuum conditions.

Contribution

It demonstrates that correct analytical properties remove divergences and provides explicit calculations showing suppression of oscillations in nuclei.

Findings

Infrared divergences do not occur with proper analytical treatment.

Neutron-antineutron oscillations are strongly suppressed in nuclei.

Oscillation effects are significantly weaker in nuclei than in vacuum.

Abstract

It is argued that within the correct treatment of analytical properties of the transition amplitudes, in particular, the second order pole structure, characteristic for the $n - \bar n$ transition in nuclei, the "infrared divergences" discussed in some papers, do not appear. Explicit calculation with the help of diagram technique shows that the neutron-antineutron oscillations are strongly suppressed within a deuteron, as well as within arbitrary nucleus, in comparison with the oscillations in vacuum.