用线性回归判别X（3872）的结合机制
Using Line Shapes to Discriminate between Binding Mechanisms for the X(3872)
摘要：
我们构造的X（3872），概括了扁平和零范围的线条形状，以前已经考虑的线条形状。这些线的形状与散射振幅，这是完全统一的相互作用参数的实值，可以从一个可重正化的量子场论。新的线的形状可以用来区分两种不同的结合机制，即X（3872）是由粲介子相互作用动态产生的，还是由D^{*0} D巴^0阈值附近的共振产生的。如果共振与P波粲偶素态chi 'c1一致，则可以用粲偶素唯象来约束相互作用参数。我们分析了X射线（3872）的数据，也分析了来自Belle和Babar合作组织的数据，这些数据是关于从衰变B -> K + D^{*0} Dbar ^0到4000 MeV的粲介子不变质量分布的。我们的分析与X（3872）的机制是一致的，它要么是对粲介子相互作用的微调，要么是对卡'_{c1}的微调，使之达到D^{*0} D bar^0阈值。特别是，数据不排除在D^{*+} D^-阈值和4000 MeV之间的单独的卡方共振。
英文摘要：
We construct line shapes for the X(3872) that generalize the Flatte and zero-range line shapes that have been considered previously. These line shapes are associated with scattering amplitudes that are exactly unitary for real values of the interaction parameters and can be derived from a renormalizable quantum field theory. The new line shapes can be used to discriminate between the alternative binding mechanisms in which the X(3872) is generated either dynamically by charm meson interactions or by a resonance near the D^{*0} Dbar^0 threshold. If the resonance is identified with the P-wave charmonium state chi'_{c1}, the interaction parameters can be constrained by using charmonium phenomenology. We analyze data on the X(3872) and also data from the Belle and Babar Collaborations on the invariant mass distribution of the charm mesons from the decay B -> K + D^{*0} Dbar^0 up to 4000 MeV. Our analysis is compatible with the mechanism for the X(3872) being either a fine-tuning of charm meson interactions or the fine-tuning of the chi'_{c1} to the D^{*0} Dbar^0 threshold. In particular, the data do not exclude a separate chi'_{c1} resonance between the D^{*+} D^- threshold and 4000 MeV.
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