\begin{table}%t1 %\centering \par \caption{Measured, assumed, and derived values for different physical quantities at the innermost starburst region of NGC~253 (IS), a cylindrical disk with height 70~pc, and its surrounding disk (SD).\label{model}} \begin{tabular}{lllll } \hline\hline Physical parameters & Symbol & Value & Units & Comment\\ \hline \par Distance & $D$ & 2.5 & Mpc & ST \\ \par Inclination & $i$ & 78 & degrees & ST \\ \par Infrared Luminosity of the innermost starburst (IS) & $L_{\rm IR}$ &$2\times 10^{10}$ & $L_\odot$ & ST\\ \par %Infrared peak wavelength & $\lambda_{\rm peak}$ & 100 & $\mu$m & %ST\\ \par Radius of the IS &-- & 100 & pc & ST\\ \par Radius surrounding disk (SD) &-- & 1000 & pc & ST\\ \par Uniform density of the IS & $n_{\rm IS}$ & $\sim$$600$ & cm$^{-3}$ & ST\\ \par Uniform density of the SD & $n_{\rm SD}$ & $\sim$$50$ & cm$^{-3}$ & ST\\ \par Gas mass of the IS & $M_{\rm IS}$ & $\sim$$ 3 \times 10^7$ & $M_\odot$ & ST\\ \par Gas mass of the SD & $M_{\rm SD}$ & $\sim$$ 2.5 \times 10^8$ & $M_\odot$ & ST\\ \par Supernova explosion rate of the IS & ${\cal R}$ & $\sim$$ 0.08$ & SN yr$^{-1}$ & ST\\ \par Supernova explosion rate of the SD & -- & $\sim $$0.01$ & SN yr$^{-1}$ & ST\\ \par Typical supernova explosion energy & -- & 10$^{51}$ & erg & ST\\ \par SN energy transferred to cosmic rays & $\eta$ & $\sim $$10$ & \% & ST \\ \par Convective velocity & $V$ & 300--600 & km s$^{-1}$ & ST \\ \par Dust emissivity index & $\sigma$ & 1.5 & -- & OM \\ \par Dust temperature & $T_{\rm dust}$ & 50 & K & OM \\ \par Emission measure & EM & $5 \times 10^5$ & pc cm$^{-6}$ & OM \\ \par Ionized gas temperature & $ T$ & $10^4$ & K & OM \\ \par Magnetic field of the IS & $B$ & 300 & $\mu$G & OM \\ \par Slope of primary injection spectrum & $p$ & 2.2--2.3 &-- & A\\ \par Maximum energy considered for primaries & -- & 100 & TeV & A \\ \par Diffusion coefficient slope & $\mu$ & 0.5 &-- & A\\ \par %Minimum kin. energy of acc. particles & $E_{\rm %p,~kin,~ min}$ & 0.01--0.1 & GeV & Assumed \\ \par Proton to electron primary ratio & $N_{\rm p}/N_{\rm e}$ & 50 & -- & A\\ \par Diffusive timescale & $\tau_0$ & 1--10 & Myr & A\\ \par \hline \par \end{tabular} \end{table}