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arXiv 2011.13425hep-phhep-ex
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$Z_{cs}(3985)$作为$\bar D_s^* D + \bar D_s D^*$相互作用的阈值效应

The $Z_{cs}(3985)$ as a threshold effect from the $\bar D_s^* D + \bar D_s D^*$ interaction

Natsumi Ikeno, Raquel Molina, Eulogio Oset

摘要:

我们研究了最近在BESIII测得的$e^+ e^- \to K^+ ( D_s^{*-} D^0 + D_s^- D^{*0})$反应,其中一个新的$Z_{cs}$状态已被报道。通过对局域隐规范方法的粲扇的扩展,研究了$\bar D_s D^*$与耦合通道$J/ψK^-$,$K^{*-} η_c$,$D_s^- D^{*0}$,$D_s^{*-} D^0$的相互作用.我们发现,$D_s^- D^{*0}+ D_s^{*-} D^0$组合与$J/ψK^-$和$K^{*-} η_c$偶联,但$D_s^- D^{*0}- D_s^{*-} D^0$组合不偶联。耦合通道有助于在$D_s^- D^{*0}+ D_s^{*-} D^0$对角散射矩阵中建立接近阈值的强度,尽管相互作用不足以产生束缚态或共振,但足以在与实验一致的$e^+ e^- \to K^+ ( D_s^{*-} D^0 + D_s^- D^{*0})$反应中的$\bar D_s D^*$阈值处产生大的强度积累。

英文摘要:

We study the $e^+ e^- \to K^+ ( D_s^{*-} D^0 + D_s^- D^{*0})$ reaction recently measured at BESIII, from where a new $Z_{cs}$ state has been reported. We study the interaction of $\bar D_s D^*$ with the coupled channels $J/ψK^-$, $K^{*-} η_c$, $D_s^- D^{*0}$, $D_s^{*-} D^0$ by means of an extension to the charm sector of the local hidden gauge approach. We find that the $D_s^- D^{*0}+ D_s^{*-} D^0$ combination couples to $J/ψK^-$ and $K^{*-} η_c$, but the $D_s^- D^{*0}- D_s^{*-} D^0$ combination does not. The coupled channels help to build up strength in the $D_s^- D^{*0}+ D_s^{*-} D^0$ diagonal scattering matrix close to threshold and, although the interaction is not strong enough to produce a bound state or resonance, it is sufficient to produce a large accumulation of strength at the $\bar D_s D^*$ threshold in the $e^+ e^- \to K^+ ( D_s^{*-} D^0 + D_s^- D^{*0})$ reaction in agreement with experiment.

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