论文标题
S-Wave较弱的状态的综合性从近代到领先的秩序Weinberg的关系
Compositeness of S-wave weakly-bound states from next-to-leading order Weinberg's relations
论文作者
论文摘要
我们讨论了独立于模型的估计值，即浅s波或虚拟状态综合的可能性。该方法基于温伯格在物理中关系的扩展。 Rev. 137，B672（1965），它仅依赖于国家能量与其与之相关的两个 - 哈德隆阈值的距离。该方案仅利用实验散射长度和有效范围的低能参数，并且证明它对于主要是分子黑质的完全一致。作为明确的应用，我们分析了deuteron的情况，$^1 {\ rm s} _0 $ nucleon-nucleon虚拟状态和异国情调的$ d^{\ ast} _ {s0}（2317）^\ pm $，并在所有情况下为分子解释找到强有力的支持。对于$ d^{\ ast} _ {s0}（2317）^\ pm $，结果不太结论，因为该状态的绑定能量明显高于Deuteron的绑定能，并且此处采用的方法具有其适用性的极限。我们还定性地解决了最近发现的$ t_ {cc}^+$状态，以避免非常接近阈值的复杂性$ d^0d^0d^{\ ast+} $和$ d^+d^+d^{\ ast 0} $，这可以掩盖该方法的方法。
We discuss a model-independent estimator of the likelihood of the compositeness of a shallow S-wave bound or virtual state. The approach is based on an extension of Weinberg's relations in Phys. Rev. 137, B672 (1965) and it relies only on the proximity of the energy of the state to the two-hadron threshold to which it significantly couples. The scheme only makes use of the experimental scattering length and the effective range low energy parameters, and it is shown to be fully consistent for predominantly molecular hadrons. As explicit applications, we analyse the case of the deuteron, the $^1{\rm S}_0$ nucleon-nucleon virtual state and the exotic $D^{\ast}_{s0}(2317)^\pm$, and find strong support to the molecular interpretation in all cases. Results are less conclusive for the $D^{\ast}_{s0}(2317)^\pm$, since the binding energy of this state is significantly higher than that of the deuteron, and the approach employed here is at the limit of its applicability. We also qualitatively address the case of the recently discovered $T_{cc}^+$ state, within the isospin limit to avoid the complexity of the very close thresholds $D^0D^{\ast +}$ and $D^+D^{\ast 0}$, which could mask the ingredients of the approach proposed in this work.
