论文标题
估计校正项的综合性
Estimation of compositeness with correction terms
论文作者
论文摘要
合成性$ x $的定义是观察复合结构（例如在结合状态下的Hadronic分子成分）的概率。与模型无关的方法计算$ x $的方法之一是结合关系。但是，当散射长度$ a_ {0} $大于绑定状态$ r $的半径时，综合性$ x $的核心值变得比Unity更大，这不能被解释为概率。对于具有$ a_ {0}> r $的系统，我们需要用校正项估算组合性。为了合理地确定综合性，我们首先介绍校正项的定量估计。由于综合性的确切值应包含在其定义域中$ 0 \ leq x \ leq 1 $，因此我们通过排除综合定义域之外的区域来提出使用不确定性频段的合理估计方法。我们最终估计了物理系统的综合性，并获得了可以解释为复合组件的比例的结果。
The compositeness $X$ is defined as the probability to observe the composite structure such as the hadronic molecule component in a bound state. One of the model-independent approaches to calculate $X$ is the weak-binding relation. However, when the scattering length $a_{0}$ is larger than the radius of the bound state $R$, the central value of the compositeness $X$ becomes larger than unity, which cannot be interpreted as a probability. For the systems with $a_{0}>R$, we need to estimate the compositeness with the correction terms. For the reasonable determination of the compositeness, we first present the quantitative estimation of the correction terms. Because the exact value of the compositeness should be contained in its definition domain $0\leq X\leq 1$, we propose the reasonable estimation method with the uncertainty band by excluding the region outside of the definition domain of the compositeness. We finally estimate the compositeness of physical systems, and obtain the result which we can interpret as the fraction of the composite component.
