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

2025/02/27 by Lebed, Richard F., Martinez, Steven R.
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph)

paper · doi:10.48550/arxiv.2502.20567

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 χ_c1(3872) and χ_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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