Weinberg’s Compositeness

Kolck, U. van

doi:10.3390/sym14091884

Cited by 13 publications

(1 citation statement)

References 64 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The probability of finding |molecule⟩ (|non molecule⟩) is defined as the compositeness X (elementarity Z = 1 − X) [6,14,26,30]. The compositeness of the near-threshold states is obtained from the weak-binding relation written in terms of a 0 and r e [6,12,14,33,34,42]:…”

Section: Introductionmentioning

confidence: 99%

Estimation of compositeness with correction terms

Kinugawa

Hyodo

2022

EPJ Web Conf.

View full text Add to dashboard Cite

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 a0 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 a0 > 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 ≤ X ≤ 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.

show abstract