Study on radiative decays of $D^*_{sJ}(2860)$ and $D^*_{s1}(2710)$ into $D_s$ by means of LFQM

TL;DR

This paper investigates the radiative decay properties of the $D^*_{sJ}(2860)$ and $D^*_{s1}(2710)$ mesons using the Light-Front Quark Model to help determine their quantum numbers and internal structures.

Contribution

It provides theoretical calculations of radiative decay widths for these mesons, proposing measurements to clarify their quantum states and challenge previous assumptions.

Findings

Calculated branching ratios for radiative decays of $D^*_{sJ}(2860)$ and $D^*_{s1}(2710)$

Suggested experimental measurements to identify quantum numbers

Reexamined the resonance structure around 2.86 GeV

Abstract

The observed resonance peak around 2.86 GeV has been carefully reexamined by the LHCb collaboration and it is found that under the peak there reside two states $D^*_{s1}(2860)$ and $D^*_{s3}(2860)$ which are considered as $1^3D_1(c\bar s)$ and $1^3D_3(c\bar s)$ with slightly different masses and total widths. Thus, the earlier assumption that the resonance $D^*_{s1}(2710)$ was a $1D$ state should not be right. We suggest to measure the partial widths of radiative decays of $D^*_{sJ}(2860)$ and $D^*_{s1}(2710)$ to confirm their quantum numbers. We would consider $D^*_{s1}(2710)$ as $2^3S_1$ or a pure $1^3D_1$ state, or their mixture and respectively calculate the corresponding branching ratios as well as those of $D^*_{sJ}(2860)$. The future precise measurement would provide us information to help identifying the structures of those resonances .