Strong decays of $D_J(3000)$ and $D_{sJ}(3040)$

TL;DR

This study calculates the strong decay properties of $D_J(3000)$ and $D_{sJ}(3040)$ mesons, suggesting they are likely 2P$(1^{+'})$ states with broad widths, aligning well with experimental data.

Contribution

It provides a systematic calculation of decay widths using the Bethe-Salpeter equation, proposing a specific quantum state assignment for these mesons, which was not previously established.

Findings

Both resonances are consistent with 2P$(1^{+'})$ states.

Calculated widths closely match experimental data.

Dominant decay channels are identified for each resonance.

Abstract

In this paper, we systematically calculate two-body strong decays of newly observed $D_J(3000)$ and $D_{sJ}(3040)$ with 2P$(1^+)$ and 2P$(1^{+\prime})$ assignments in an instantaneous approximation of the Bethe-Salpeter equation method. Our results show that both resonances can be explained as the 2P$(1^{+'})$ with broad width via $^3P_1$ and $^1P_1$ mixing in $D$ and $D_s$ families. For $D_J(3000)$, the total width is 229.6 MeV in our calculation, close to the upper limit of experimental data, and the dominant decay channels are $D_2^*\pi$, $D^*\pi$, and $D^*(2600)\pi$. For $D_{sJ}(3040)$, the total width is 157.4 MeV in our calculation, close to the lower limit of experimental data, and the dominant channels are $D^*K$ and $D^*K^*$. These results are consistent with observed channels in experiments. Given the very little information that has been obtained from experiments and the large error bars of the total decay widths, we recommend the detection of dominant channels in our calculation.