# Study of radially excited $D_s(2^1S_0)$ and $D^+_{sJ}(2632)$

## TL;DR

This paper investigates the properties and decay channels of the radially excited $D_s(2^1S_0)$ and the $D^+_{sJ}(2632)$, suggesting the latter is unlikely to be a conventional charmed strange meson based on decay analysis.

## Contribution

The study provides theoretical predictions for the masses, decay widths, and dominant decay channels of $D_s(2^1S_0)$ and $D^+_{sJ}(2632)$ using the $^3P_0$ model, offering insights into their nature.

## Key findings

- $D_s(2^1S_0)$ expected at 2650 MeV with specific decay channels.
- $D^+_{sJ}(2632)$ unlikely to be a conventional $c\bar s$ meson.
- Identified dominant decay modes for these states.

## Abstract

The $J^P=0^-$ radial excitation $D_s(2^1S_0)$ is anticipated to have mass $2650$ MeV (denoted with $D_s(2650)$) though it has not been observed. $D_s(2650)$ is anticipated to be observed in inclusive $e^+e^-$ and $pp$ collisions in $D^*K$ channel. $D_s(2650)$ can be produced from hadronic decays of higher excited resonances. In a $^3P_0$ model, hadronic production of $D_s(2650)$ has been studied, relevant decay widths have been estimated. The hadronic decays of $D_s(3P)$ have been explored in detail, and the dominant decay channels have been pointed out. Two hadronic decay channels of $D^+_{sJ}(2632)$ were observed by SELEX, but have not been observed by any other experiment. Hadronic decays of $D^+_{sJ}(2632)$ in different assignments have been explored in the $^3P_0$ model. In view of the hadronic decay manner of $D^+_{sJ}(2632)$ , we conclude that $D^+_{sJ}(2632)$ cannot be a conventional charmed strange $c\bar s$ meson.