Implications to $c\bar s$ assignments of $D_{s1}(2700)^\pm$ and $D_{sJ}(2860)$

TL;DR

This paper investigates possible quark model assignments for the mesons $D_{s1}(2700)^\u00b1$ and $D_{sJ}(2860)$, exploring their nature as orbitally or radially excited $car s$ states and predicting related states and relations.

Contribution

It provides a detailed analysis of the possible quark configurations of $D_{s1}(2700)^\u00b1$ and $D_{sJ}(2860)$, including implications for other excited states and chiral doubling.

Findings

Both orbitally and radially excited $car s$ assignments are possible.

Predictions of additional excited states like $D_{s2}(2800)$ and $D^\u00b0_{s1}(2973)$.

Evidence for chiral doubling in radially excited $D_s$ states.

Abstract

Possible assignments of $D_{s1}(2700)^\pm$ and $D_{sJ}(2860)$ in the conventional quark model are analyzed. The study indicates that both the orbitally excited $c\bar s$ and the radially excited $c\bar s$ are possible. Some implications to these assignments are explored. If $D_{s1}(2700)^\pm$ and $D_{sJ}(2860)$ are the orbitally excited D-wave $1^- (j^P={3\over 2}^-)$ and $3^- (j^P={5\over 2}^-)$, respectively, another orbitally excited D-wave $2^-$ $D_s$, $D_{s2}(2800)$, is expected. If $D_{s1}(2700)^\pm$ and $D_{sJ}(2860)$ are the first radially excited $1^- (j^P={1\over 2}^-)$ and $0^+ (j^P={1\over 2}^+)$, respectively, other two radially excited $0^- D^\prime_s(2582)$ and $1^+ D^\prime_{s1}(2973)$ are expected. $D_{s2}(2800)$ and $D^\prime_{s1}(2973)$ are mixing states. The chiral doubling relation may exist in radially excited $D_s$, the splitting between the parity partners(the $(0^-,1^-)$ and the $(0^+,1^+)$) is $\approx 280$ MeV.