# Time reversal invariance violation in neutron-nucleus scattering

## TL;DR

This paper calculates the expected size of T and P violation effects in neutron-nucleus scattering using statistical nuclear models, providing bounds based on fundamental physics parameters.

## Contribution

It introduces a statistical approach to estimate T,P-violating matrix elements in chaotic nuclear states, linking them to fundamental constants.

## Key findings

- Calculated root mean square values of T,P-violating matrix elements.
- Derived upper bounds on matrix element ratios using current fundamental parameter limits.
- Expressed results in terms of nuclear interaction constants, meson exchange, QCD theta-term, and quark chromo-EDMs.

## Abstract

Planning and interpretation of the experiments searching for the time reversal (T) and parity (P) violation in neutron reactions require values of the matrix elements of the T,P-violating nuclear forces between nuclear compound states. We calculate the root mean square values and the ratio of the matrix elements of the T,P-violating and P-violating interactions using statistical theory based on the properties of chaotic compound states and present the results in terms of the fundamental parameters in four different forms: in terms of the constants of the contact nuclear interaction, meson exchange constants, QCD theta-term and quark chromo-EDMs. Using current limits on these parameters, we obtain the upper bounds on the ratio of the matrix elements.