Probing the structure of exotic hadrons through correlation functions

TL;DR

This paper investigates the internal structure of exotic hadrons like $D_{s0}^*(2317)$ and $X(3872)$ by analyzing correlation functions, revealing how different internal compositions affect observable lineshapes and offering a method to probe their nature.

Contribution

The study introduces a novel approach using correlation functions to distinguish between molecular and bare state components in exotic hadrons.

Findings

Bare states significantly change the correlation function lineshape.

Different internal structures produce distinguishable correlation patterns.

Correlation measurements can effectively probe hadron internal composition.

Abstract

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 $DK-D_s\eta$ molecule, and a mixture of a $DK-D_s\eta$ 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 inclusion of a bare state significantly alters the lineshape of the $D^{0}K^{+}$ correlation functions. These variations provide key physical observables to probe the internal structure of the $D_{s0}^*(2317)$. Using the shallow bound state candidate $X(3872)$ as input, we study the impact of including a bare state on the lineshape of the $D^0\bar{D}^{*0}$ correlation functions, revealing more pronounced variations. Our analysis provides critical insights into the internal structure of exotic hadronic states via momentum correlation measurements.