论文标题
约束$ a $和$ r_0 $限制的边界状态的综合性是多少?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
论文作者
论文摘要
我们提出了一种方法,该方法允许人们从辐射成分的散射长度,有效范围和结合能中获得有关分子态综合的信息。我们明确考虑形式主义中相互作用的范围,并表明它对于以非常小的结合和零范围相互作用的极限获得的温伯格公式非常重要。该方法允许在结合不小的情况下获得良好的信息。我们将其明确应用于Deuteron和$ d^{*} _ {s0}(2317)$和$ d^{*} _ {S1}(2460)$状态并同时确定在一定范围内的综合性值,以及在范围内获得范围内的合理信息。
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.