Spin Dependence of Meson Thresholds in the Diabatic Dynamical Diquark Model
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908654010105856 |
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| author | Lebed, Richard F. |
| author_facet | Lebed, Richard F. |
| contents | The diabatic dynamical diquark model is designed to unify diquark and molecular approaches for exotic hadrons, by including the effects of di-meson thresholds on fundamental diquark-antidiquark states in order to form physical tetraquarks. We generalize this model by implementing the consequences of heavy-quark spin symmetry for each di-meson pair. We include the specific spin factors and mass differences associated with mesons related by this symmetry (such as $D, D^*$), both features being necessary for the systematic incorporation of effects beyond the static, heavy-source limit inherent to the (adiabatic) Born-Oppenheimer treatment. We obtain explicit interaction potentials for all $J = 0, 1, 2$ states, along the way deriving unusual variants of Fierz reordering identities, and discuss the application of the potentials to specific physical states such as $χ_{c1}(3872)$ and $T_{c\bar c 1}(3900)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_05368 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spin Dependence of Meson Thresholds in the Diabatic Dynamical Diquark Model Lebed, Richard F. High Energy Physics - Phenomenology The diabatic dynamical diquark model is designed to unify diquark and molecular approaches for exotic hadrons, by including the effects of di-meson thresholds on fundamental diquark-antidiquark states in order to form physical tetraquarks. We generalize this model by implementing the consequences of heavy-quark spin symmetry for each di-meson pair. We include the specific spin factors and mass differences associated with mesons related by this symmetry (such as $D, D^*$), both features being necessary for the systematic incorporation of effects beyond the static, heavy-source limit inherent to the (adiabatic) Born-Oppenheimer treatment. We obtain explicit interaction potentials for all $J = 0, 1, 2$ states, along the way deriving unusual variants of Fierz reordering identities, and discuss the application of the potentials to specific physical states such as $χ_{c1}(3872)$ and $T_{c\bar c 1}(3900)$. |
| title | Spin Dependence of Meson Thresholds in the Diabatic Dynamical Diquark Model |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2507.05368 |