Coupled-channel meson-meson scattering in the diabatic framework

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