$n\bar{n}$ conversion in finite nuclei

TL;DR

This paper presents a new theoretical model for neutron-antineutron conversion in nuclei using a unitary S-matrix approach, estimating the oscillation time limits based on a field-theoretical calculation within a finite time interval.

Contribution

It introduces a novel model for $n\bar{n}$ transitions in nuclei employing a unitary S-matrix and a shell model description of the nucleus.

Findings

Lower limit on free-space $n\bar{n}$ oscillation time is between $1.2\times 10^9$ s and $10^{16}$ years.

The model provides a consistent framework for calculating $n\bar{n}$ conversion probabilities.

Field-theoretical approach with finite time interval enhances the accuracy of transition rate estimates.

Abstract

The new model of $n\bar{n}$ transitions in nuclei based on unitary $S$-matrix is considered. The $|in>$-state of nucleus is described by single-particle shell model. The dynamical process part is calculated by means of field-theoretical approach with finite time interval. The lower limit on the free-space $n\bar{n}$ oscillation time $\tau_{{\rm min}}$ is in the range $10^{16}\; {\rm yr}>\tau_{{\rm min}}>1.2\cdot 10^{9}\; {\rm s}$. \end{abstract}