We perform a systematic study on the interactions of the ${\mathrm{\Sigma }}_c^{(*)}{D}^{(*)}$ systems within the framework of chiral effective field theory. We introduce the contact term, one-pion-exchange and two-pion-exchange contributions to describe the short-, long-, and intermediate-range interactions. The low energy constants of the ${\mathrm{\Sigma }}_c^{(*)}{D}^{(*)}$ systems are estimated from the $N\overline{N}$ scattering data by introducing a quark level Lagrangian. With three solutions of LECs, all the ${\mathrm{\Sigma }}_c^{(*)}{D}^{(*)}$ systems with isospin $I=1/2$ can form bound states, in which different inputs of LECs may lead to distinguishable mass spectra. In addition, we also investigate the interactions of the charmed-bottom ${\mathrm{\Sigma }}_c^{(*)}{\overline{B}}^{(*)}$, ${\mathrm{\Sigma }}_b^{(*)}{D}^{(*)}$, and ${\mathrm{\Sigma }}_b^{(*)}{\overline{B}}^{(*)}$ systems. Among the obtained bound states, the bindings become deeper when the reduced masses of the corresponding systems are heavier.

中文翻译：

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双重魅力分子五夸克的探索

我们对相互作用的相互作用进行了系统的研究 ${\mathrm{\Sigma }}_C^{(*)}{D}^{(*)}$手征有效场论框架内的系统。我们引入了接触项、1-pion-exchange 和2-pion-exchange 贡献来描述短程、长程和中程相互作用。的低能量常数${\mathrm{\Sigma }}_C^{(*)}{D}^{(*)}$ 系统估计从 $N\overline{N}$通过引入夸克能级拉格朗日量来散射数据。LECs的三种解决方案，所有的${\mathrm{\Sigma }}_C^{(*)}{D}^{(*)}$ 具有同位旋的系统 $\mathrm{一世}=1/2$可以形成结合态，其中 LEC 的不同输入可能导致可区分的质谱。此外，我们还调查了迷人底的相互作用${\mathrm{\Sigma }}_C^{(*)}{\overline{乙}}^{(*)}$, ${\mathrm{\Sigma }}_{乙}^{(*)}{D}^{(*)}$， 和 ${\mathrm{\Sigma }}_{乙}^{(*)}{\overline{乙}}^{(*)}$系统。在获得的束缚态中，当相应系统的减少质量更重时，束缚变得更深。