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arXiv · 2305.09146

Exotic Hadrons from Scattering in the Diabatic Dynamical Diquark Model

Richard F. Lebed·Steven R. Martinez
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Abstract

The diabatic framework generalizes the adiabatic approximation built into the Born-Oppenheimer (BO) formalism, and is devised to rigorously incorporate the mixing of BO-approximation eigenstates with two-particle thresholds. We recently applied this framework in a bound-state approximation to the mixing of hidden-charm dynamical-diquark tetraquark states with open-charm di-meson thresholds. Since almost all of these states are observed as above-threshold resonances, we here implement the corresponding scattering formalism to allow for a study of exotic tetraquark resonances within the diabatic framework. We calculate elastic open-charm di-meson cross sections (in channels with zero, open, and hidden strangeness) as functions of center-of-mass energy, and observe the development of true resonances, near resonances, and various threshold cusp effects. As an example, $\chi_{c1}(3872)$ can originate in the $1^{++}$ channel as a diquark-antidiquark state enhanced by the $D^0 \overline{D}^{*0}$ threshold, with or without an additional contribution from the conventional charmonium $\chi_{c1}(2P)$ state.

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Richard F. Lebed, Steven R. Martinez. 2023-05-16. Exotic Hadrons from Scattering in the Diabatic Dynamical Diquark Model. https://doi.org/10.1103/physrevd.108.014013

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