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arXiv 2201.04414hep-ph
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受$a$和$r_0$约束的束缚态的复合性是多少?相互作用范围的作用

How much is the compositeness of a bound state constrained by $a$ and $r_0$? The role of the interaction range

Jing Song, L. R. Dai, E. Oset

摘要:

我们提出了一种方法,允许一个获得的信息的分子状态的复合性的强子组件的散射长度,有效范围和结合能的组合信息。我们明确地考虑了形式主义中相互作用的范围,并表明在极小结合和零范围相互作用的极限下改进Weinberg公式是极其重要的。该方法允许在结合不小的情况下也获得良好的信息。我们明确地将其应用于氘核和$D^{*}_{s0}(2317)$和$D^{*}_{s1}(2460)$态的情况,并同时确定在一定范围内的复合性的值,以及得到定性的信息的范围内的相互作用。

英文摘要:

We present an approach that allows one to obtain information on the compositeness of molecular states from combined information of the scattering length of the hadronic components, the effective range, and the binding energy. We consider explicitly the range of the interaction in the formalism and show it to be extremely important to improve on the formula of Weinberg obtained in the limit of very small binding and zero range interaction. The method allows obtaining good information also in cases where the binding is not small. We explicitly apply it to the case of the deuteron and the $D^{*}_{s0}(2317)$ and $D^{*}_{s1}(2460)$ states and determine simultaneously the value of the compositeness within a certain range, as well as get qualitative information on the range of the interaction.

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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