We study the dense molecular gas in the Galactic center using maps of
HCN and CO J = 1 --> 0 emission from the central 630 pc of the Milky W
ay, and images of HCN J = 3 --> 2 emission, which requires high densit
ies for excitation (n(H2) greater than or similar to 10(6) cm(-3)), fr
om Sgr A and Sgr B. The ratio of integrated HCN and CO J = 1 --> 0 int
ensities is a sensitive measure of molecular gas pressure, and the rat
io of integrated HCN J = 3 --> 2 and J = 1 --> 0 intensities uncovers
density enhancements in the maps. However, the HCN/CO ratio is difficu
lt to model without knowing the relative HCN and CO abundances. Furthe
rmore, because of the different filling factors of HCN and CO emission
, models that use homogeneous clouds may not be accurate for analyzing
the HCN/CO ratio. Most of the mass traced by HCN and CO in the Galact
ic center is at high densities (n(H2) similar to 10(4) cm(-3)), roughl
y an order of magnitude higher than cloud densities in the Galactic di
sk. Most of the dense gas traced by HCN J = 3 --> 2 emission is coinci
dent with star-forming regions and cloud interaction zones, and not ne
cessarily with emission peaks. We smoothed the HCN and CO maps to the
typical spatial resolution of extragalactic observations, and repeated
the analysis. The single large-scale measurement was sensitive to the
mass-weighted average properties of the map. Therefore, if we can ext
rapolate this result to other spirals, studies such as this are sensit
ive to the average gas properties in galactic nuclei, despite poor spa
tial resolution.