\begin{table}%t3 \caption{\label{scaling_MR}Calibration of the red-giant mass and radius.} %%\centering \par \begin{tabular}{lrrrrrrrl} \hline\hline \noalign{\smallskip} star & $\Teff$ & $\numax$ & $\dnumoy$ & $R\ind{mod}$ & $\Rsis$& $M\ind{mod}$ & $\Msis$ & Ref.\\ & (K) & \multicolumn{2}{c}{\dotfill (\muHz)\dotfill}& \multicolumn{2}{c}{\dotfill $R_\odot$\dotfill}& \multicolumn{2}{c}{\dotfill $M_\odot$\dotfill}\\ \hline HD~181907 & 4760 $\pm$ 120& 29.1 $\pm$ 0.6& 3.47 $\pm$ 0.1& 12.3 $\pm$ 0.6 & 12.3& 1.2 $\pm$ 0.3& 1.53& (1) \\ $\beta$ Oph& 4550 $\pm$ 100& 46.0 $\pm$ 2.5& 4.1 $\pm$ 0.2& 12.2 $\pm$ 0.8 & 13.8& 2.90 $\pm$ 0.3& 2.99& (2) \\ $\varepsilon$ Oph& 4850 $\pm$ 100& 53.5 $\pm$ 2.0& 5.2 $\pm$ 0.1& 10.55 $\pm$ 0.15& 10.2& 1.85 $\pm$ 0.05& 1.91& (3) \\ $\xi$ Hya &4900 $\pm$ 75\ & 92.3 $\pm$ 3.0& 7.0 $\pm$ 0.2& 10.4 $\pm$ 0.5 & 9.70& 3.04 $\pm$ 0.1& 3.01& (4) \\ $\eta$ Ser & 4900 $\pm$ 100& 125.0 $\pm$ 3.0& 10.1 $\pm$ 0.3& 6.3 $\pm$ 0.4 & 6.31& 1.60 $\pm$ 0.1& 1.73& (5) \\ \hline \end{tabular} \tablefoot{The columns $R\ind{mod}$ and $M\ind{mod}$ indicate the radius and mass derived from a detailed models, whereas $\Rsis$ and $\Msis$ indicate the radius and mass derived from Eqs.~(\ref{rayon}) and~(\ref{masse}). \vspace{-2mm} \tablebib{(1) \cite{2010AetA...509A..73C}; A. Miglio, private communication; (2) \cite{2009ASPC..404..307K}; (3) \cite{2008AetA...478..497K}; \cite{2009AetA...503..521M}; \cite{2007AetA...468.1033B}; (4) \cite{2002AetA...394L...5F}; (5) \cite{2004ESASP.559..113B}; \cite{2006AetA...458..931H}; and F. Carrier, private communication; More references on the targets are given in \cite{2009ASPC..404..307K}.}} \end{table}