DK$ the final state must be in an $F$-wave to conserve angular momentum while for $1^3D_3\to DK^*$ the final state can be in a $P$-wave. Assuming the underlying amplitudes are similar and including angular momentum factors, elastic form factors, and the momentum factors appropriate to $P$ and $F$ waves we find $\Gamma(1^3D_3\to DK^*) \simeq 0.08 \times \Gamma(1^3D_3\to DK)$ which is consistent with the various results given in Table \[tab:models\]. We make a similar estimate for the decays $1^3D_1\to DK$ and $1^3D_1\to DK^*$ which both have final states in $P$-waves. For this case we estimate that the partial width to $DK^*$ is about 10% of that to the $DK$ final state. This is only consistent with one of the results listed in Table \[tab:models\] with the other two calculations predicting a signficantly larger partial width to $DK^*$. However those two cases have larger total widths so that in all cases the partial width to $DK^*$ will only modify the total width by at most $\sim 20\%$.

  State                                Experiment[@Beringer:1900zz]    Lattice[@Moir:2013ub]   PSEM   CS[@Close:2005se]   ZLDZ[@Zhang:2006yj]   ZZ[@Zhong:2009sk]   LM[@Li:2009qu]   YCZ 1[@Yuan:2012ej]   YCZ 2[@Yuan:2012ej]  
  ----------------------------------- ------------------------------- ----------------------- ------ ------------------- --------------------- ------------------- ---------------- --------------------- --------------------- --
  $M(2^3S_1)(2709) $                       $D_{s1}$ $2709\pm 4$            $2757 \pm 6$        2732         2730                 2715                 2710               