Meson-Meson Molecular Binding Potentials in the Diabatic Dynamical Diquark Model
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866908321662894080 |
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| author | Lebed, Richard F. Martinez, Steven R. |
| author_facet | Lebed, Richard F. Martinez, Steven R. |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2502_20567 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Meson-Meson Molecular Binding Potentials in the Diabatic Dynamical Diquark Model Lebed, Richard F. Martinez, Steven R. High Energy Physics - Phenomenology 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. |
| title | Meson-Meson Molecular Binding Potentials in the Diabatic Dynamical Diquark Model |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2502.20567 |