Limit on T-Violating P-Conserving rho N N Interaction from the γ Decay of ⁵⁷Fe

We use the experimental limit on the interference of M1 and E2 multipoles in the $\gamma$-decay of $^{57}$Fe to bound the time-reversal-violating parity-conserving $\rho N N$ vertex. Our approach is a large-basis shell-model calculation of the interference. We find an upper limit on the parameter $\bar{g}_{\rho}$, the relative strength of the T-violating $\rho N N$ vertex, of close to $10^{-2}$, a value similar to the best limits from other kinds of experiments.