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arXiv 2406.08690hep-ph
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透热双夸克模型中的 $T_{cc}$:$D^*D$ 同位旋效应

$T_{cc}$ in the Diabatic Diquark Model: Effects of $D^*D$ Isospin

Richard F. Lebed, Steven R. Martinez

AI总结:

该研究在 Born–Oppenheimer 透热框架下分析 $T_{cc}^+$ 中两个 $D^*D$ 同位旋道的混合作用,量化双夸克组分及参数敏感性。

摘要:

$T_{cc}^+$ 是一个同位旋标量四夸克态,其质量仅略低于 $D^{*+}D^0$ 阈值,而低于 $D^{*0}D^+$ 阈值的距离则要大数倍。它既可能具有双介子分子亚结构,也可能具有基本的双夸克–反双夸克 $(cc)(\ar u\ar d)$ 亚结构。Born–Oppenheimer 形式体系内对绝热近似的透热推广,严格纳入了此类基本本征态与对应两粒子阈值的态之间的混合。我们考察了两个 $D^*D$ 同位旋道各自的影响,发现 $D^{*+}D^0$ 的影响大于 $D^{*0}D^+$,但并非压倒性地大,并且 $T_{cc}^+$ 含有 $O(10\%)$ 的 $(cc)(\ar u\ar d)$ 组分。随后,我们探究了当双介子阈值之间的同位旋破缺发生变化时这些结果的变化,以及结果对混合势参数变化的敏感性。

英文摘要:

$T_{cc}^+$ 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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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