Two dynamical generated $$a_0$$ a 0 resonances by interactions between vector mesons

Abstract

Abstract We study dynamically generated $$a_0$$ 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 $$a_0(980)$$ a 0 ( 980 ) as a $$K{\bar{K}}-\pi \eta $$ K K ¯ - π η dynamically generated state, there is an $$a_0(1710)$$ a 0 ( 1710 ) as a coupled channel dynamically generated state near $$K^*\bar{K}^*$$ K ∗ K ¯ ∗ threshold. The channels involved are $$\rho \phi ,K^*\bar{K}^*,\rho \omega , K\bar{K},\pi \eta $$ ρ ϕ , K ∗ K ¯ ∗ , ρ ω , K K ¯ , π η . This $$a_0$$ a 0 mainly decays to $$\rho \omega $$ ρ ω , $$\pi \eta $$ π η and $$K\bar{K}$$ K K ¯ . This pole is much tied to the coupled channel effect. If we turn off either $$\rho \phi $$ ρ ϕ or $$K^*\bar{K}^*$$ K ∗ K ¯ ∗ , the pole disappears. In addition, it is found that $$a_0(1450)$$ a 0 ( 1450 ) may also be dynamically generated by $$\rho \omega $$ ρ ω interactions due to $$\pi $$ π and $$\eta $$ η exchange.