An analysis of $n=3 \to 2$ transition lines of carbon-like silicon reveals
that some ratios of line intensities are sensitive to the electron density. The
ratio between two group of $3d\to2p$ transition lines at 55.246 \AA and 55.346
\AA is a good $n_{\rm e}$-diagnostic technique, due to its insensitivity to the
electron temperature. Using this property, a lower limit of the density of
0.6$\times10^8$cm$^{-3}$ is derived for Procyon, which is consistent with that
constrained by C V and Si X emissions. Significant discrepancies in ratios of
$3s\to2p$ lines to $3d\to2p$ lines between theoretical predictions and observed
values, are found, by the spectral analysis of Procyon observed with the {\it
Chandra} High Resolution Transmission Grating spectra. The difference exceeding
a factor of 3, cannot be explained by the uncertainty of atomic data. The
opacity effect is also not a choice as reported by Ness and co-workers. For the
$3s\to2p$ line at 61.611 \AA, present work indicates that the large discrepancy
may be due to the contamination from a S VIII line at 61.645 \AA . For the
lines at 61.702 and 61.846 \AA, we suggest that the discrepancies may be
attributed to contaminations of unknown lines.Comment: 18 pages, 4 figures, accepted by New Astronom