In-medium modification and decay asymmetry of omega mesons in cold nuclear matter

We discuss an asymmetry of the decay $\omega ->e^{+}{e}^{-}$ in nuclear matter with respect to the electron and positron energies. This asymmetry is sensitive to the properties of the $\omega$ meson self-energy and, in particular, it has a non-trivial dependence on the $\omega$ energy and momentum. Therefore, this asymmetry may serve as a powerful tool in studying the properties of the $\omega$ meson in the nuclear medium.