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 s 0 * ( 2317 ) , i.e., assuming the D s 0 * ( 2317 ) as a DK molecule, a mixture of a DK molecule and a bare state, a D K − D s η molecule, and a mixture of a D K − D s η molecule and a bare state. Using the D 0 K + interactions derived from these scenarios, we predict the D 0 K + correlation functions. Our results demonstrate that the lineshape of the D 0 K + correlation function is sensitive to the admixture effects from the coupled-channel D + K 0 and the bare state. Furthermore, we find that the D 0 K + 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 D 0 D ¯ * 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.