Correlation functions for $n\,\bar{D}_{s1}(2460)$ and $n\,\bar{D}_{s1}(2536)$

TL;DR

This paper investigates the interaction of certain meson systems to test the hypothesis that specific $D_{s1}$ states are molecular states, predicting resonances and calculating scattering properties using an improved Faddeev approach.

Contribution

It introduces an improved fixed center approximation to the Faddeev equations to analyze the molecular nature of $D_{s1}$ states and predicts resonant states below threshold.

Findings

Predicted resonant states below threshold.

Calculated scattering length and effective range.

Provided correlation functions to test molecular hypotheses.

Abstract

We study the interaction of the $n \bar {D}_{s1}(2460)$ and $n \bar {D}_{s1}(2536)$ systems from the perspective that the $D_{s1}(2460)$ and $D_{s1}(2536)$ states are molecular states of $K D^*$ and $K^*D$, respectively. We use an improved version of the fixed center approximation to the Faddeev equations which fulfills exact elastic unitarity at the threshold of the systems. We predict the existence of resonant states below threshold and also determine the scattering length, effective range and correlation functions of these systems, showing that the results contain important information to test the assumed molecular nature of the two $D_{s1}$ states.