find the $2^3S_1(c\bar{s})$ total width to be consistent with the $D_{s1}^*(2710)^\pm$ width although the $\Gamma(D^*K)/\Gamma(DK)$ ratio is in substantial disagreement.

To understand the $D_{s}^*$ states, other possibilities have been put forward. In one scenario the $D_{s1}^*(2710)^\pm$ is a mixture of $2^3S_1(c\bar{s})$ and $1^3D_1(c\bar{s})$ [@Close:2006gr; @Zhong:2009sk; @Li:2009qu; @Li:2010vx; @Chen:2011rr; @Yuan:2012ej; @Wang:2013mml] and the $D_{sJ}^*(2860)$ is its orthogonal partner [@Li:2009qu; @Li:2010vx; @Yuan:2012ej]: $$\begin{aligned}
\label{eqn:sd_mixing}
D_{s1}^* & = 2^3S_1 \cos\theta + 1^3D_1 \sin\theta \nonumber \\   
D_{sJ}^* & =-2^3S_1 \sin\theta + 1^3D_1 \cos \theta .\end{aligned}$$ The partial and total widths and the $\Gamma(D^*K)/\Gamma(DK)$ ratios for the $D_{s1}^*$ and $D_{sJ}^*$ mixed states defined by Eqn. \[eqn:sd\_mixing\] are plotted as a function of the mixing angle in Fig. \[Fig2\]. Eqn. \[eqn:sd\_mixing\] is a simplification as in general the mixing angle should depend on energy and a coupled channel analysis is required. However, this simplification is adequate for a preliminary study to determine whether mixing is a viable explanation for the observed decay properties and whether a more detailed analysis is warranted. The shaded bands in these plots represent the one standard deviation regions of the measured values for these quantities [@Beringer:1900zz]. One can see that reasonable agreement is obtained with a $2^3S_1- 1^3D_1$ mixing angle of 