Interpretation of $D_{sJ}(2632)^+$, $D_{s1}(2700)^\pm$, $D^\star_{sJ}(2860)^+$ and $D_{sJ}(3040)^+$

TL;DR

This paper models $D_s$ mesons using a semi-classic flux tube approach with spin-orbit interactions, predicting a lower spectrum than previous models and analyzing several $D_s$ candidates.

Contribution

It provides a new spectrum prediction for D-wave $D_s$ mesons and offers interpretations for observed states within this framework.

Findings

Predicted D-wave $D_s$ spectrum is significantly lower than earlier models.

Identified $D_{sJ}(2632)^+$ as a possible $1^-$ orbitally excited state.

Suggested $D_{s1}(2700)^ ag{+}$ is likely the first radial excitation.

Abstract

$D_s$ mesons are investigated in a semi-classic flux tube model where the spin-orbit interaction is taken into account. Spectrum of D-wave $D_s$ is predicted. The predicted spectrum is much lower than most previous predictions. Analysis of some $D_s$ candidates is made. $D_{sJ}(2632)^+$ may be a $1^-$ ($j^P={3\over 2}^-$ or $1^3D_1$) orbitally excited $D_s$ meson. $D_{s1}(2700)^\pm$ is very possible the first radially excited $1^-$ ($j^P={1\over 2}^-$ or $2^3S_1$) $D_s$ meson (the first radial excitation of $D^{\star\pm}_s(2112)^0$). $D^\star_{sJ}(2860)^+$ should be a $3^-$ ($j^P={5\over 2}^-$ or $1^3D_3$) orbitally excited $D_s$ meson, and $D_{sJ}(3040)^+$ is the first radially excited $1^+$ ($j^P={1\over 2}^+$) $D_s$ meson. Our conclusions are consistent with the most lately BaBar experiment.