Diabatic representation of exotic hadrons in the dynamical diquark model
Diabatic representation of exotic hadrons in the dynamical diquark model
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DOI：
10.1103/physrevd.106.074007
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发表时间：
2022-07
影响因子：
5
通讯作者：
R. Lebed;S. R. Martinez
中科院分区：
文献类型：
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作者：
R. Lebed;S. R. Martinez
我们应用非绝热形式主义，固有的Born-Oppenheimer（BO）的原子物理方法的绝热近似的扩展，奇异的多夸克强子和它们附近的双强子阈值之间的混合问题。未微扰的BO本征态是用动力学双夸克模型得到的，而非绝热计算在这些态和阈值态之间引入了一个混合势。我们数值求解了开奇异和闭奇异的隐魅四夸克态的耦合薛定谔方程，得到了物理质量本征值，并探讨了本征态的双强子态含量和空间范围.作为一个明确的例子，X（3872）出现时具有一个占主导地位的D 0 <$D 0分量，但也包含一个相当大的双夸克-反双夸克分量，它可以显著地贡献它的辐射衰变宽度，这个分量也产生了一个完整的其他基于双夸克的奇异强子的多重态，以便与实验进行比较。
We apply the diabatic formalism, an extension of the adiabatic approximation inherent to the Born-Oppenheimer (BO) approach of atomic physics, to the problem of mixing between exotic multiquark hadrons and their nearby di-hadron thresholds. The unperturbed BO eigenstates are obtained using the dynamical diquark model, while the diabatic calculation introduces a mixing potential between these states and the threshold states. We solve the resulting coupled Schr¨odinger equations numerically for hidden-charm tetraquarks of both open and closed strangeness to obtain physical mass eigenvalues, and explore the di-hadron state content and spatial extent of the eigenstates. As an explicit example, X (3872) emerges with a dominant D 0 ¯ D ∗ 0 component, but also contains a considerable diquark-antidiquark component that can contribute significantly to its radiative decay widths, and this component also generates a full multiplet of other diquark-based exotic hadrons to be compared with experiment.