We have used the Owens Valley Millimeter Array to map (CO)-C-12 (J = 1-0) a
long a 3.5 kpc segment of the eastern spiral arm of M83 at resolutions of 6
".5 x 3 ".5, 10 ", and 16 ". The CO emission in most of this segment lies
along the sharp dust lane demarcating the inner edge of the spiral arm, but
beyond a certain point along the arm the emission shifts downstream from t
he dust lane to become better aligned with the young stars seen in blue and
H beta images. This morphology resembles that of the western arm of M100.
Three possibilities, none of which is wholly satisfactory, are considered t
o explain the deviation of the CO arm from the dust lane: heating of the CO
by UV radiation from young stars, heating by low-energy cosmic rays, and a
molecular medium consisting of two (diffuse and dense) components that rea
ct differently to the density wave. Regardless, the question of what CO emi
ssion traces along this spiral arm is a complicated one. Masses based on CO
emission and the virial theorem for 10 emission features roughly agree and
are in the range 1.5-16 x 10(6) M.. These are lower than the masses of gia
nt molecular associations in M51, but the discrepancy is probably due to th
e much higher linear resolution of these observations. Despite the uncertai
nty in what CO emission is tracing, we do not require a conversion factor o
f CO brightness to H-2 column density much different from the standard Gala
ctic value if these structures are bound. Surprisingly, for the two fields
where we can compare with single-dish data, only 2%-5% of the single-dish f
lux is seen in our observations. A possible explanation is that M83 contain
s much smoothly distributed molecular gas that is resolved out by the inter
ferometer. Strong tangential streaming is observed where the arm crosses th
e kinematic major axis of the galaxy, implying that the shear becomes local
ly prograde in the arms. The amplitude of the tangential streaming is used
along with a low-resolution single-dish radial profile of CO emission to in
fer a very high gas surface density of about 230 M. pc(-2) and an arm-inter
arm contrast greater than 2.3 in the part of the arm near the major axis. U
sing two different criteria, we find that the gas at this location is well
above the threshold for gravitational instability-much more clearly so than
in either M51 or M100. This finding is consistent with the unusually high
H alpha surface brightness and star formation efficiency in M83: star forma
tion may be particularly active because of strong gravitational instabiliti
es.