We apply the diabatic framework, a QCD-based formalism for the unified study of quarkoniumlike systems in terms of heavy quark-antiquark and open-flavor meson-meson components, to the description of coupled-channel meson-meson scattering. For this purpose, we first introduce a numerical scheme to find the solutions of the diabatic Schrödinger equation for energies in the continuum, then we derive a general formula for calculating the meson-meson scattering amplitudes from these solutions. We thus obtain a completely nonperturbative procedure for the calculation of open-flavor meson-meson scattering cross sections from the diabatic potential, which is directly connected to lattice QCD calculations. A comprehensive analysis of various elastic cross sections for open-charm and open-bottom meson-meson pairs is performed in a wide range of the center-of-mass energies. The relevant structures are identified, showing a spectrum of quasiconventional and unconventional quarkoniumlike states. In addition to the customary Breit-Wigner peaks, we obtain nontrivial structures such as threshold cusps and minimums. Finally, our results are compared with existing data and with results from our previous bound-state–based analysis, finding full compatibility with both.

中文翻译：

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非绝热框架中的耦合通道介子-介子散射

我们应用非绝热框架，一种基于 QCD 的形式主义，用于在重夸克 - 反夸克和开放风味介子 - 介子分量方面对类夸克系统进行统一研究，以描述耦合通道介子 - 介子散射。为此，我们首先引入了一个数值方案来寻找连续介质中能量的非绝热薛定谔方程的解，然后我们推导出从这些解中计算介子-介子散射幅度的一般公式。因此，我们获得了一个完全非微扰的程序，用于从非绝热势计算开放风味介子 - 介子散射截面，这与晶格 QCD 计算直接相关。在很宽的质心能量范围内，对开放魅力和开放底部介子-介子对的各种弹性截面进行了综合分析。确定了相关结构，显示了一系列准常规和非常规类夸康态。除了习惯的 Breit-Wigner 峰外，我们还获得了重要的结构，例如阈值尖峰和最小值。最后，将我们的结果与现有数据以及我们之前基于绑定状态的分析的结果进行比较，发现两者完全兼容。