Two dynamical generated $a_0$ resonances by interactions between vector mesons

We study dynamically generated $a_0$ resonances by interactions between vector mesons including their coupling to channels of pseudoscalar mesons within coupled-channel approach. Both vector and pseudoscalar mesons are considered as t-channel exchanged mesons for calculating interactions between vector mesons. Analogous to $a_0$(980) as a $K\overline{K}$-πη dynamically generated state, there is an $a_0$(1710) as a coupled channel dynamically generated state near $K^{\ast }{\overline{K}}^{\ast }$ threshold. The channels involved are ρϕ, $K^{\ast }{\overline{K}}^{\ast }$, ρω, $K\overline{K}$, πη. This $a_0$ mainly decays to ρω, πη and $K\overline{K}$. This pole is much tied to the coupled channel effect. If we turn off either ρϕ or $K^{\ast }{\overline{K}}^{\ast }$, the pole disappears. In addition, it is found that $a_0$(1450) may also be dynamically generated by ρω interactions due to π and η exchange.