The study of Ds1(2460) and Ds1(2536) mixing

TL;DR

This paper investigates the mixing mechanism between the D_{s1}(2460) and D_{s1}(2536) mesons using a hadron loop model, determining their masses, widths, and mixing angles with results consistent with experiments.

Contribution

It introduces a method to analyze the mixing of these states considering hadron loop effects, providing a more accurate determination of their properties.

Findings

Masses and widths agree with experimental data.

Hadron loop effects significantly alter mixing angles.

Mass shifts are observed due to loop effects.

Abstract

In this proceeding, we report our recent study of the mixing mechanism between $D_{s1}(2460)$ and $D_{s1}(2536)$. On the basis of Godfrey-Isgur model, we consider the $D^*K$ hadron loop effect on the ${}^3P_1$ and ${}^1P_1$ $c\bar{s}$ states. We construct the propagator matrix of these two-state system, from which we can extract the poles as well as the mixing angles. Through this method, we simultaneously determine the masses, widths and mixing angle of these two physical states and the results agree well with the experimental measurement. Besides the mass shift, we also find that the hadron loop effects can cause a significant shift for the mixing angles from the value determined in the heavy quark symmetry limit.