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

Abstract

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

arXiv commentarXiv admin note: substantial text overlap with arXiv:2107.14470

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• Theoretical study of the process $D_s^{+}\to {\pi }^{+}{K}_S^0{K}_S^0$ and the isovector partner of $f_0(1710)$
• Repercussion of the $a_0(1710)$ [$a_0(1817)$] resonance and future developments
• $P_{cc}^N$ states in a unitarized coupled-channel approach
• Exploring kaon induced reactions for unraveling the nature of the scalar meson $a_0(1817)$
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• Theoretical study of scalar meson $a_0(1710)$ in the ${\eta }_c\to {\bar{K}}^0{K}^{+}{\pi }^{-}$ reaction
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• The dynamically generated $h_1$ state by the $K^{\ast }{\bar{K}}^{\ast }$ interaction and its $K_1(1270)\bar{K}$ and $b_1(1235)\pi$ decays