Probing the structure of the Ds0*(2317) and X(3872) states through correlation functions

Over the past 20 years, many new hadron states have been discovered, but understanding their nature remains a key experimental and theoretical challenge. Recent studies have established that hadron-hadron interactions primarily govern the generation of new hadronic states, with their spectroscopy serving as a powerful tool for probing these interactions and determining the corresponding compositeness. In this work, we study four scenarios to determine the DK interaction by reproducing the mass of the D_s0^*(2317), i.e., assuming the D_s0^*(2317) as a DK molecule, a mixture of a DK molecule and a bare state, a DK−D_sη molecule, and a mixture of a DK−D_sη molecule and a bare state. Using the D⁰K⁺ interactions derived from these scenarios, we predict the D⁰K⁺ correlation functions. Our results demonstrate that the lineshape of the D⁰K⁺ correlation function is sensitive to the admixture effects from the coupled-channel D⁺K⁰ and the bare state. Furthermore, we find that the D⁰K⁺ correlation function can probe the position of the bare state, if such a QCD bare state exists. Using the shallow-bound state candidate X (3872) as input, we study the D⁰D¯^*0 correlation functions. These functions are highly sensitive to short-range dynamics and bare-state admixtures, resulting in clearly distinguishable correlation-function line shapes across different values of compositeness.