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Bibliographic Details
Main Authors: Lebed, Richard F., Martinez, Steven R.
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2406.08690
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Table of 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.