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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Online-Zugang: | https://arxiv.org/abs/2406.08690 |
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| _version_ | 1866911981454229504 |
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| author | Lebed, Richard F. Martinez, Steven R. |
| author_facet | Lebed, Richard F. Martinez, Steven R. |
| contents | $T_{cc}^+$ is an isoscalar 4-quark state with mass lying barely below the $D^{*+} D^0$ threshold, and several times further below the $D^{*0} D^+$ threshold. It allows both di-meson molecular and elementary diquark-antidiquark $(cc)(\bar u \bar d)$ substructures. The diabatic generalization of the adiabatic approximation within the Born-Oppenheimer formalism rigorously incorporates the mixing of such elementary eigenstates with states corresponding to two-particle thresholds. We examine the separate influence of the two $D^* \! D$ isospin channels and find that the influence of $D^{*+} D^0$ is larger than that of $D^{*0} D^+$ but not overwhelmingly so, and that $T_{cc}^+$ contains an $O(10\%)$ $(cc)(\bar u \bar d)$ component. We then explore the variation of these results if the isospin breaking between the di-meson thresholds is varied, and also the sensitivity of our results to variation of the mixing-potential parameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_08690 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $T_{cc}$ in the Diabatic Diquark Model: Effects of $D^*D$ Isospin Lebed, Richard F. Martinez, Steven R. High Energy Physics - Phenomenology $T_{cc}^+$ is an isoscalar 4-quark state with mass lying barely below the $D^{*+} D^0$ threshold, and several times further below the $D^{*0} D^+$ threshold. It allows both di-meson molecular and elementary diquark-antidiquark $(cc)(\bar u \bar d)$ substructures. The diabatic generalization of the adiabatic approximation within the Born-Oppenheimer formalism rigorously incorporates the mixing of such elementary eigenstates with states corresponding to two-particle thresholds. We examine the separate influence of the two $D^* \! D$ isospin channels and find that the influence of $D^{*+} D^0$ is larger than that of $D^{*0} D^+$ but not overwhelmingly so, and that $T_{cc}^+$ contains an $O(10\%)$ $(cc)(\bar u \bar d)$ component. We then explore the variation of these results if the isospin breaking between the di-meson thresholds is varied, and also the sensitivity of our results to variation of the mixing-potential parameters. |
| title | $T_{cc}$ in the Diabatic Diquark Model: Effects of $D^*D$ Isospin |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2406.08690 |