Study of the $\omega$/${\omega }_3$, $\rho$/${\rho }_3$ and the newly observed $\omega$-like state $X(2220)$

We study the excited states of $\omega$ and ${\omega }_3$ by comparison with the $\rho$ and ${\rho }_3$ families, and discuss the possibility of $X(2220)$ as $\omega$ excitation by analyzing the mass spectra and strong decay behaviors. In addition, we predict the masses and widths of $\omega (2D)$ and ${\omega }_3$and ${\rho }_3(4D)$, ${\rho }_3(1G)$, ${\omega }_3$ and ${\rho }_3(2G)$ and ${\omega }_3(3G)$ and ${\rho }_3(3G)$. The abundant information of their two-body strong decays predicted in this work will be helpful to further study of these $\omega$ and ${\omega }_3$ and $\rho$ and ${\rho }_3$ states in experiment and theory.