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arXiv 2203.02899hep-ph
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矢量介子相互作用产生的两个动力学$a_0$共振

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

Zheng-Li Wang, Bing-Song Zou

摘要:

我们用耦合道方法研究了矢量介子与赝标介子的相互作用产生的动态$a_0$共振。在计算矢量介子间的相互作用时,把矢量介子和赝标介子都看作是$t$通道交换介子.类似于作为$K\bar K-πη$动态生成状态的$a_0(980)$,存在作为接近$K^*\bar{K}^*$阈值的耦合通道动态生成状态的$a_0(1710)$。所涉及的通道是$ρϕ,K^*\bar{K}^*,ρω, K\bar{K},πη$。这种$a_0$主要衰变为$ρω$、$πη$和$K\bar{K}$。该极点与耦合沟道效应密切相关。如果我们关闭$ρϕ$或$K^*\bar{K}^*$,极点将消失。此外,发现$a_0(1450)$也可以通过由于$π$和$η$交换而引起的$ρω$相互作用而动态生成。

英文摘要:

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 $K\bar K-πη$ dynamically generated state, there is an $a_0(1710)$ as a coupled channel dynamically generated state near $K^*\bar{K}^*$ threshold. The channels involved are $ρϕ,K^*\bar{K}^*,ρω, K\bar{K},πη$. This $a_0$ mainly decays to $ρω$, $πη$ and $K\bar{K}$. This pole is much tied to the coupled channel effect. If we turn off either $ρϕ$ or $K^*\bar{K}^*$, 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.

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