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arXiv · 2502.20567

Meson-Meson Molecular Binding Potentials in the Diabatic Dynamical Diquark Model

Richard F. Lebed·Steven R. Martinez
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Abstract

Using the diabatic formalism, a rigorous generalization of the Born-Oppenheimer approximation, we study the effects of introducing simple meson-meson molecular potentials to an established diquark model for tetraquark states, and calculate mixed bound states composed of both diquark-antidiquark and meson-meson molecular components. We examine the behavior of properties of the states as one varies the parameters of the di-meson potential, and find that significant regions of parameter space occur in which one may produce mass eigenstates exactly matching the specific examples of $\chi_{c1}(3872)$ and $\chi_{c0}(3915)$. We also find regions in which a pure di-meson molecular state emerges, and study the same state properties in such cases.

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Richard F. Lebed, Steven R. Martinez. 2025-02-27. Meson-Meson Molecular Binding Potentials in the Diabatic Dynamical Diquark Model. https://arxiv.org/abs/2502.20567

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