Limits of Time-Reversal Violating Interaction from Compound Nuclear Experiments

Mean square matrix elements of the time reversal invariance violating (TRIV) interaction between the compound nuclear states are calculated within the statistical model, using the explicit form of the TRIV interaction via the $\rho$-meson exchange. From the comparison of the calculated values with the data known for $p+ ^{27}Al \Leftrightarrow ^{24}Mg + \alpha$ reaction, and for $\gamma$-correlation measurements in $^{113}Cd(n,\gamma)^{114}Cd$ process, the bounds on the TRIV constant are obtained ${\bar g}_{\rho} \alt 1.8 \times 10^{-2}$ and ${\bar g}_{\rho} \alt 1.1 \times 10^{-2}$. The sensitivity of the recently proposed detailed balance test experiments on isolated resonances in $^{32}S$ to the value of ${\bar g}_{\rho}$ is shown to be as high as to reach values ${\bar g}_{\rho} \sim 10^{-4}$.