\begin{table}%t2 \caption{\label{tab:limits}Constraints$^\dagger$ on the ratio of CR (non-thermal) to thermal energy ($E_{\rm CR}/E_{\rm th}$) for the Coma cluster core region (within two radii) and assumed cosmic-ray distribution models A and B (see text).} %\centerline { \begin{tabular}{ccccc} \hline\hline Radius & $\alpha$ & Model & $\eta = E_{\rm CR}/E_{\rm th}$ & $E_{\rm CR}$ [erg] \\ \hline\\[-3.2mm] 0.2$^\circ$ (0.33 Mpc) & 2.1 & A & $<$0.19 & ${<}7.4\times 10^{61}$ \\ 0.4$^\circ$ (0.67 Mpc) & 2.1 & A & $<$0.18 & ${<}2.5\times 10^{62}$ \\ 0.4$^\circ$ (0.67 Mpc) & 2.1 & B & $<$0.25 & ${<}3.5\times 10^{62}$ \\ 0.4$^\circ$ (0.67 Mpc) & 2.3 & A & $<$0.55 & ${<}7.7\times 10^{62}$ \\ \hline \end{tabular}} \par \medskip $\dagger$ The upper limit for $E>5$~TeV has been used here. \end{table}