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Subsections

3 Results and analysis

3.1 Catalogue of CO clouds

An overview of the J = 1-0 $~{\rm ^{12}CO}$ mapping results is shown in Fig. 1, directly comparable to the sketch of optical emission. More detailed maps of the southwestern and northeastern parts of the N 11 complex are shown in Figs. 2 and 3 respectively. Kinematical information is represented by channel maps in Fig. 4 and position-velocity maps along selected cuts in Fig. 5. The distribution of CO emission in the N 11 complex is remarkable. Using both position and kinematical information, at least 29 well-defined individual clouds can be identified. The actual number of clouds is higher than this. For instance, the velocity widths of clouds 4, 16, 20, 23, and perhaps cloud 10 as well, suggest that clouds with different velocities, but in the same line of sight, are blended together. Moreover, in the sparsely sampled parts of the map, clouds with relatively weak emission may have escaped our attention. For instance, inspection of individual profiles reveals that weak, but significant emission (typically $T_{\rm mb} \approx
0.3$ K, $\int{T_{\rm mb}{\rm d}V \approx 2 ~{\rm {K~km~s^{-1}}}}$) is present at some positions in the map. This is the case just outside the southwestern edge of the "ring'' at positions (-10.7, -14.7) and (-13.3, -12), velocity $V_{\rm LSR} = 274 ~{\rm {km~s^{-1}}}$, outside the southeastern edge at position (4, -14.7), velocity $V_{\rm LSR} = 277 ~{\rm {km~s^{-1}}}$ and inside the "ring'' at (0, -6) with $V_{\rm LSR} \approx 276 ~{\rm {km~s^{-1}}}$. In the "empty'' southeastern part of the ring, very weak emission is likewise found at velocities between 274 and 284  $~{\rm {km~s^{-1}}}$, whereas stronger emission ( $T_{\rm mb}
\approx 0.4$ K) occurs in the gap between clouds 5 and 10, at velocities of 267 and 280  $~{\rm {km~s^{-1}}}$. Finally, extended weak emission appears to be present around (-7, -9) with $V_{\rm LSR} = 272 ~{\rm {km~s^{-1}}}$.

All well-defined clouds and their observational properties are listed in Table 1, which also identifies the corresponding IRAS infrared source and radio continuum sources from the catalogues by Schwering & Israel (1990) and Filipovic et al. (1996). For each cloud, we give the central position and the parameters of the peak antenna temperature J = 1-0 and J = 2-1 $~{\rm ^{12}CO}$ profiles. Clouds can readily be identified by referring the position in Table 1 to Fig. 1.

3.2 Lack of diffuse emission

The appearance of N 11 is rather different from that presented by cloud complexes in quiescent, non-star-forming regions of the LMC, such as the cloud complexes discussed in Paper VI (Kutner et al. 1997): compare in particular our Fig. 4 with their Fig. 4. In the latter, long chains of individual bright clouds are connected by continuous, relatively bright intercloud emission. The N 11 map is dominated by discrete clouds. More extended, diffuse intercloud emission is almost wholly absent, as already noted by Caldwell & Kutner (1996). By summing emission from many "empty'' positions, we have found that there is no diffuse emission above $T_{\rm mb} \approx 0.07$ K anywhere in the southwestern part of the N 11 complex (Fig. 2), so that the clouds in the "ring'' region thus have a very high contrast with their surroundings. Some amount of diffuse emission is present in the chain of clouds extending to the northeast (cf. Fig. 3). We may quantify the lack of diffuse emission by comparing the sum of the individual cloud CO luminosities in Table 1 ( $\Sigma {L_{\rm CO} = 9.0 \times 10^{4} ~{\rm {K~km~s^{-1}}}~{\rm pc}^{2}}$) to the independently determined integral CO luminosity from the whole N 11 map ( $\int{L_{\rm CO} = 11.0 \times 10^{4} ~{\rm {K~km~s^{-1}}}~{\rm pc}^{2}}$). It thus appears that, overall, the identified discrete CO clouds alone provide already 82% of the total CO emission. As may be surmised from the above, the fractions are different for the southwestern ring region and the northeastern chain. For these map areas, we find values of 93% and 75% respectively. This means that, in an absolute sense, the northeastern chain contains twice as much diffuse CO as the ring region.


  \begin{figure}
\par\includegraphics[angle=270,width=18cm,clip]{ms2843fig3.ps}\end{figure} Figure 3: Detailed map of the integrated J = 1-0 $~{\rm ^{12}CO}$ emission in the northeastern part of the N11 complex, showing the "chain'' of CO clouds associated with OB association LH 14 and supergiant shell SGS 1; otherwise as Fig. 2.


  \begin{figure}
\par\hspace*{6.7mm}\includegraphics[angle=270,width=16cm,clip]{ms...
...e*{6.7mm}\includegraphics[angle=270,width=16cm,clip]{ms2843fig4c.ps}\end{figure} Figure 4: N11 J = 1-0 $~{\rm ^{12}CO}$ channel maps. Number in top right corner indicates central velocity $V_{\rm LSR}$. Positions sampled are indicated in the maps centered on +262 and +294 $~{\rm {km~s^{-1}}}$. CO emission is integrated in bins of 4 $~{\rm {km~s^{-1}}}$ width. First contour and contour interval correspond to $\int T_{\rm mb}{\rm d}V = 0.7 ~{\rm {K~km~s^{-1}}}$.


  \begin{figure}
\par\includegraphics[width=16cm,clip]{2843f5.eps}\par\end{figure} Figure 5: J = 1-0 $~{\rm ^{12}CO}$ position-velocity maps for clouds 1 through 15 associated with the "ring'' in N 11. All maps are at constant right ascension, except those of clouds 8, 9, 10 and 11 which are at constant declination. Contours are multiples of $\int T_{\rm mb}{\rm d}V = 0.46 ~{\rm {K~km~s^{-1}}}$. Grey scales are labeled in $\int T_{\rm A}^{*}{\rm d}V$.


 \begin{figure}
\addtocounter{figure}{-1}
\par\mbox{\includegraphics[angle=270,wi...
...mm}
\includegraphics[angle=270,width=8.5cm,clip]{ms2843fig5h.ps} }\end{figure} Figure 5: continued; J = 1-0 $~{\rm ^{12}CO}$ position-velocity maps for clouds 16 through 29 associated with the northeastern "chain'' in N 11. The map for clouds 16-23 is along a diagonal originating at the map (0, 0) position and extending to the northeast in position angle 45$^{\circ }$(counterclockwise). The map for clouds 21-29 is at constant right ascension. Contours are at multiples of $\int T_{\rm mb}{\rm d}V = 0.46 ~{\rm {K~km~s^{-1}}}$. Grey scales are labeled in  $\int T_{\rm A}^{*}{\rm d}V$.


   
Table 2: Line ratios of N 11 CO clouds.
No. $\textstyle{J=2-1\over J=1-0}$ $\textstyle{~{\rm ^{12}CO}\over ~{\rm ^{13}CO}}$ $\textstyle{~{\rm ^{12}CO}\over ~{\rm ^{13}CO}}$
  $~{\rm ^{12}CO}$ J = 1-0 J = 2-1
       
4 0.7 $\pm$ 0.2 9.4 $\pm$ 1.4  
5   14.2 $\pm$ 2.1  
7   5.1 $\pm$ 1.1  
8 1.2 $\pm$ 0.3 7.4 $\pm$ 1.1  
10 1.2 $\pm$ 0.3a 9.8 $\pm$ 1.2 4.8 $\pm$ 0.9
11 0.9 $\pm$ 0.2a 5.3 $\pm$ 0.8  
12   7.9 $\pm$ 1.1  
13 0.7 $\pm$ 0.3a 8.8 $\pm$ 2.8  
14 1.3 $\pm$ 0.4a 6.0 $\pm$ 0.8 4.7 $\pm$ 0.9
15 1.2 $\pm$ 0.2a 7.6 $\pm$ 1.1  
18 1.1 $\pm$ 0.2 22.8 $\pm$ 3.7  
27   15.7 $\pm$ 2.0  
28   10.1 $\pm$ 1.2  
29   8.4 $\pm$ 1.1  


Notes: a average over cloud.



 

 
Table 3: Properties of CO clouds in N 11.
No Luminosity Mean Virial X
  $L_{\rm CO}$ Radius Mass 1020 cm2
  $~{\rm {K~km~s^{-1}}}$ pc2 R pc 104 $M_{\odot}$ $(~{\rm {K~km~s^{-1}}})^{-1}$
1 2705 10.6 1.6 3.8
2 2650 7.3 1.1 2.6
3 2725 11.3 2.0 4.6
4 10 470 11.2 7.6 4.6
5 3955 8.9 2.0 3.2
6 5790 19.9 2.6 2.9
7 3400 <5 <0.4 <0.7
8 1335 <5 <0.7 <3.4
9 1485 7.0 1.0 4.2
10 5720 7.4 5.4 5.9
11 2995 7.7 3.3 6.9
12 2560 7.4 3.0 7.4
13 2245 <5 <1.0 <2.9
14 1565 <5 <1.7 <6.8
15 9290 10.7 3.2 2.2
16 2890 7.7 5.4 11.8
17 1400 8.6 0.5 2.4
18 4385 8.5 2.7 3.9
19 2725 9.0 2.6 5.9
20 1190 <5 <7.2 <38
21 1885 6.9 3.3 11.2
22 850 6.0 0.5 3.7
23 3505 -- -- --
24 1660 8.3 1.7 6.3
25 510 <5 <1.0 <12
26 1925 10.4 0.9 2.8
27 1970 6.1 1.6 5.0
28 3915 7.4 2.0 3.2
29 2615 <5 <1.1 <2.6



  \begin{figure}
\par\includegraphics[angle=270,width=17.5cm,clip]{ms2843fig6.ps}\end{figure} Figure 6: Velocity-integrated J = 2-1 $~{\rm ^{12}CO}$ map of the northeastern segment of the ring, containing clouds 10, 11, 13, 14 and 15. Contours are at multiples of $\int T_{\rm mb}{\rm d}V = 4 ~{\rm {K~km~s^{-1}}}$. Grey scales are labeled in $\int T_{\rm A}^{*}{\rm d}V$.


  \begin{figure}
\par\includegraphics[width=17cm,clip]{2843f7.eps}\par\end{figure} Figure 7: Position-velocity maps through clouds depicted in Fig. 6. Left: right-ascension cut at constant declination through clouds 10 and 11, with contours at multiples of $\int T_{\rm mb}{\rm d}V = 0.5 ~{\rm {K~km~s^{-1}}}$. Emission was averaged over 1 arcmin in declination. Velocity resolution $ 1 ~{\rm {km~s^{-1}}}$. Right: declination cut at constant right ascension through clouds 14 and 15, with contours at multiples of $\int T_{\rm mb}{\rm d}V = 0.75 ~{\rm {K~km~s^{-1}}}$. Emission was averaged over 1 arcmin in right ascension. Velocity resolution $ 2 ~{\rm {km~s^{-1}}}$. In both panels, grey scales are labeled in $\int T_{\rm A}^{*}{\rm d}V$.

3.3 Individual cloud properties

Although 22 out of 29 of the clouds listed in Table 1 are resolved, virtually all of them have dimensions no more than a few times the size of the J = 1-0 $~{\rm ^{12}CO}$ observing beam. The maps in Figs. 1 through 5 therefore do not provide much information on the actual structure of individual clouds. In order to determine cloud CO luminosities and mean radii, we made for each cloud a small map (not shown) over the relevant range of positions and velocity. Cloud CO luminosities were determined by integrating these maps. We verified that the results were not significantly affected by the precise size and velocity limits of the maps. Characteristic cloud dimensions were determined by dividing the map integral by the map peak and taking the square root. The radii thus obtained were then corrected for finite beamwidth, the beam FWHM diameter of 43'' corresponding to a linear diameter of 11.2 pc.

The two times higher angular resolution of the J = 2-1  $~{\rm ^{12}CO}$ maps shown in Figs. 6 and 7 does provide some structural information at least for clouds 10, 11, 13, 14 and 15 in the relatively bright northeastern segment of the ring. In all cases, the cloud structure thus revealed is one of mostly low-brightness CO emission within the confinements of the J = 1-0 source extent in which a few essentially unresolved components are embedded. The overall extent of these compact components is thus significantly less than 5 pc.

Although it is by no means certain that the clouds identified by us are indeed virialized, we have used the data given in Tables 1 and 3 to calculate virial masses following:

\begin{eqnarray*}M_{\rm vir}/M_{\odot} = k~ R/{\rm pc}~ (\Delta V/{~{\rm {km~s^{-1}}}})^{2}
\end{eqnarray*}


where k = 210 for homogeneous spherical clouds and k = 190 for clouds with density distributions $\propto$r-1 (MacLaren et al. 1988). In our calculations, we have assumed the former case, although the actual uncertainties are in any case much larger than the difference between the two values of k. The results are included in Table 3.

In previous papers we have found that cloud size, linewidth, luminosity and virial mass appear to be related quantities, although the precise form of the relations is different for SMC (Rubio et al. 1993) and LMC (Garay et al. 2002). Using data from Tables 1 and 3, we have investigated these relations also for the clouds in the N 11 complex. Figure 8 we present the results, including the formal least-squares fits:


\begin{eqnarray*}&& \log~{\rm d}V = 1.01~ \log~ R - 0.39, \\ [2mm]
&& \log~L_{\...
...96 \\ [2mm]
&& \log~M_{\rm vir} = 0.88~ \log~L_{\rm CO} + 1.27.
\end{eqnarray*}


Compared to the clouds studied before, those in N 11 complex are characterized by a relatively limited span in all parameters. The velocity width and linear size in particular cover only a very limited range. In addition, the diagrams in Fig. 8 exhibit a relatively large and mostly intrinsic scatter of data points. Not surprisingly, therefore, are the very small determination coefficients $r^{2} \approx
0.1$ of the dV-R (left panel) and $L_{\rm CO}-$dV (center panel) relations. Thus, unlike the clouds studied before in both the LMC and the SMC, the N 11 clouds do not appear to exhibit a significant correlation between these quantities.

However, the relation between cloud virial mass and CO luminosity (right panel) seems better defined, with a determination coefficient $r^{2} \approx 0.6$. We note that the regression fit, shown in Fig. 8, has a slope very similar to the one found by Garay et al. (2002) for clouds in 30 Doradus and the surrounding LMC environment (and rather different from the one obtained for SMC clouds by Rubio et al. 1993). At the same time, for identical CO luminosities cloud virial masses are systematically $\it lower$ in the N 11 complex than in the Doradus clouds by a factor of 2.5. Leaving aside any speculation as to the origin of these differences, we feel confident to conclude that the N 11 cloud properties differ significantly from those studied at other locations either within the LMC or the SMC.

3.4 CO cloud physical condition

We have determined J = 1-0 $~{\rm ^{12}CO}/~{\rm ^{13}CO}$ line ratios for half the clouds listed in Table 1. These ratios were usually measured near but not precisely at the integrated $~{\rm ^{12}CO}$ peaks. Moreover, in most cases the ratio was measured at various positions. The intensity-weighted means of these measurements and their errors are listed in Table 2. Individual values for this ratio (which we will call the isotopical ratio) range from 5 to 23, with a mean of about 10 (Table 2). Two similar determinations in the J = 2-1 transition yield a value of about 5.

For five clouds we could integrate the $~{\rm ^{12}CO}$ emission in the J = 1-0 and J = 2-1 transitions over identical areas, thus obtaining the J = 2-1/J = 1-0 line ratio (i.e. the transitional ratio) listed in Table 2 as "average over cloud''. for another three clouds we mapped small crosses in the J = 2-1 transition, allowing us to extrapolate to the larger J = 1-0 beam size. The transitional ratios thus derived are typically 1.2. However, the bright clouds 4 and 13 are exceptional in having the much lower value of only 0.7.

We have run radiative transfer models as described by Jansen (1995) and Jansen et al. (1994) in an attempt to reproduce the observed ratios as a function of input parameters such as molecular gas kinetic temperature $T_{\rm k}$, molecular hydrogen gas density $n_{~{\rm H_{2}}}$ and CO column density per unit velocity $N({\rm CO})$/dV. Although the models assume a homogeneous, plane-parallel geometry, this is an acceptable approximation.

Because three model parameters are required, the solutions are poorly constrained, except in the cases of clouds 10 and 14, where three line intensity ratios are available for fitting. We find that cloud 10 is best fit by a moderately dense ( $n_{~{\rm H_{2}}} = 3000 ~{\rm cm^{-3}}$), hot ($T_{\rm k}$ = 150 K) molecular cloud with a CO column density $N({\rm CO})$/dV = $6 \times 10^{17} ~{\rm cm^{-2}}
(~{\rm {km~s^{-1}}})^{-1}$ and a surface filling factor of 0.04 (see also, for instance, Rubio et al. 2000). In contrast, the overall beam surface filling factor is about 0.25. Although the model transitional ratio is 0.85 instead of the observed value 1.2 $\pm$ 0.2, the model isotopical ratios are practically identical to those observed. Only one other model solution comes close to the observed value. It provides a poorer fit and requires very high densities ( $n_{~{\rm H_{2}}} = 100~000 ~{\rm cm^{-3}}$) and very low column densities $N({\rm CO})$/dV = $0.3 \times 10^{17} ~{\rm cm^{-2}}(~{\rm {km~s^{-1}}})^{-1}$ at low temperatures ($T_{\rm k}$ = 10 K). As Cloud 10 is very closely associated with the rich and young OB association LH 10 and the bright HII region N 11B, we consider the parameters of the first solution to be more likely correct.

However, it is unlikely that all of cloud 10 is both hot and dense. Whether or not the cloud is virialized, we expect its mass not to be very different from the value $M = 5 \times 10^{4}~M_{\odot}$given in Table 3. To heat all of that mass to a temperature of 150 K is beyond the capacity of the OB association, even if a large fraction of it is embedded and not yet properly identified. Rather, we suspect that cloud 10 is characterized by a range of temperatures and densities, with $~{\rm ^{12}CO}$ emission preferentially dominated by the presumably relatively small amounts of hot gas, while the $~{\rm ^{13}CO}$ intensities are more susceptible to more widespread denser gas. Although the present observations do not allow fitting of such a multi-component model, future observations of higher $~{\rm ^{12}CO}$ and $~{\rm ^{13}CO}$transitions will make this easily possible.

Clouds 14 and 15 are less closely associated with the OB association LH 13 and the HII regions N 11C/N 11D. The model solution that provides the best fit requires again moderate densities ( $n_{~{\rm H_{2}}} = 3000 ~{\rm cm^{-3}}$) and moderate temperatures ($T_{\rm k}$ = 60 K), together with a slightly lower column density $N({\rm CO})$/dV = $3 \times 10^{17}
~{\rm cm^{-2}}(~{\rm {km~s^{-1}}})^{-1}$ and a surface filling factor of about 0.08. The overall beam surface filling factor is of the order of 0.3. Other solutions found, yielding higher temperatures at lower densities, and vice versa, again provide poorer fits. The temperature and mass constraints for Clouds 14 and 15 are not as stringent as those for Cloud 10, but the same comment should also apply to them.

Finally, although the lack of information does not properly constrain possible solutions, the rather high J = 1-0 isotopical ratio of 23 for Cloud 18 does suggest a combination of relatively high densities and temperatures.

3.5 Molecular gas mass

There are various ways in which to estimate the total molecular ( $~{\rm H_{2}}$) mass from CO observations. Unfortunately, it is doubtful which of these, if any, is applicable to N 11. The presence of so many early-type stars in the immediate vicinity of the molecular material leads one to suspect that the resulting strong radiation fields have led to considerable processing of the molecular interstellar medium in N 11. The observations appear to bear this out: the lack of diffuse CO, as well as the large and apparently intrinsic scatter in the log dV-log R and log  $L_{\rm CO}$-log dV diagrams (Fig. 8), the various manners in which the detected CO clouds are associated with FIR dust emission (cf. Table 1) and the elevated temperatures found above all suggest that in this complex CO has been subject to different but considerable degrees of photo-processing and photo-dissociation.

The kinematics of the clouds do not suggest regular rotation, or any other systematic movement, precluding a dynamical mass determination. For the same reason, it is very difficult to relate the present results to the overall structures such as shells etc that may have resulted from the interaction of the many OB stars in the region with the ambient interstellar medium. Obviously, the virial theorem cannot be applied to the cloud ensemble defining the ring, nor to that forming the northeastern ridge of clouds. The way in which the barely resolved J = 1-0 clouds break up in equally barely resolved J = 2-1 clouds also casts some doubt on the applicability of the virial theorem to the individual clouds, and Fig. 8 does not show a very tight relation between virial mass and CO luminosity. Finally, there is now ample evidence that the "standard'' CO-to-H2 conversion factor X that is often used to derive molecular hydrogen column densities from CO luminosities is not valid under the very circumstances pertaining to N 11: strong radiation fields and low metallicities (Cohen et al. 1988; Israel 1997; see also discussion in Johansson et al. 1998).


  \begin{figure}
\par\includegraphics[width=5.3cm,clip]{ms2843fig8a.ps}\hspace*{0....
...s}\hspace*{0.8cm}
\includegraphics[width=5.3cm,clip]{ms2843fig8c.ps}\end{figure} Figure 8: The various parameters of the N 11 cloud ensemble do not appear to define very clear relationships. Left: Cloud velocity width dV as a function of deconvolved radius R. Center: CO luminosity $L_{\rm CO}$ as a function of deconvolved radius R. Right: Virial mass $M_{\rm vir}$ as a function of CO luminosity $L_{\rm CO}$. Filled hexagons represent actual values, open hexagons represent upper limits to cloud size (left panel) or to cloud virial mass (right panel).

Comparison of the virial masses, corrected for a helium contribution of 30% by mass, with the observed CO luminosity supplies the mean CO-to-H2 conversion factor X, following:

\begin{eqnarray*}X = 1.0 \times 10^{22}~ R~ (\Delta V^{2})~ L_{\rm CO}^{-1}.
\end{eqnarray*}


The values X thus calculated are also listed in Table 3. We find for the discrete CO clouds a range of X values between $2
\times 10^{20}$ and $12 \times 10^{20} ~{\rm cm^{-2}}(~{\rm {K~km~s^{-1}}})^{-1}$, with a mean X = $5\pm0.5 \times 10^{20} ~{\rm cm^{-2}}(~{\rm {K~km~s^{-1}}})^{-1}$, i.e. 2.5 times the "standard'' conversion factor in the Solar Neighbourhood. Johansson et al. (1998) and Garay et al. (2002) obtained similar results for clouds in the 30 Doradus region and Complex 37 respectively.

These factors can also be compared to those determined independently for the whole complex by Israel (1997, hereafter I97). From a comparison of observed far-infrared, HI and CO intensities, i.e. explicitly taking all HI in the nebular complex into account, he finds X(N 11-ring) = $21\pm9 \times 10^{20} ~{\rm cm^{-2}}(~{\rm {K~km~s^{-1}}})^{-1}$ and X(N11-northeast) = $6\pm2 \times 10^{20} ~{\rm cm^{-2}}(~{\rm {K~km~s^{-1}}})^{-1}$. As discussed by Israel (2000), the conversion factor for whole complexes is expected to be higher than that of the individual constituent CO clouds. In the latter case, spatial volumes that contain abundant and selfshielding $~{\rm H_{2}}$ but have little or no CO left, are explicitly excluded in the virial calculation. The result is thus biased to the volumes least affected by photo-processing. Measurements of the whole complex avoid such a bias.

The overall conversion factor for the northeast ridge is only 25% higher than the mean for the individual clouds, hardly a significant difference. Such a value, only a few times higher than the conversion factor in the Solar Neighbourhood, is characteristic of quiescent areas in the moderately low-metallicity LMC (cf. I97), and suggests that relatively little processing has taken place in the ridge area. The sum of the observed individual cloud masses in the ridge is $M_{\rm vir}(ridge) = 3.1 \times 10^{5}~M_{\odot}$. Assuming no HI to be present in these clouds but correcting for helium, we find from this a total molecular mass for the ridge clouds $M_{~{\rm H_{2}}}(ridge) \geq 2.2 \times 10^{5}~M_{\odot}$. Although this is, strictly speaking, a lower limit because we did not fully map the ridge area and additional clouds may have escaped attention, we note that the more extended maps by Yamaguchi et al. (2001) suggest that in fact only very little CO emission occurs outside the area mapped by us.

The data tabulated by I97 imply a neutral hydrogen massa $M_{\rm HI}(ridge)
\approx 4 \times 10^{5}~M_{\odot}$, presumably mostly between the clouds, and a total molecular hydrogen mass $M_{~{\rm H_{2}}}(ridge) \approx
5.5 \times 10^{5}~M_{\odot}$. A mass $M_{~{\rm H_{2}}} \leq 2.5 \times
10^{5}~M_{\odot}$ is unaccounted for by individual clouds, which should represent molecular material distributed between the CO clouds mapped and not directly observed. We have already found that the total CO luminosity observed in the ridge is about a third higher than the sum of the individual clouds. Thus, diffuse intercloud CO in the ridge will have a luminosity $L_{\rm CO} \geq 1.0 \times 10^{4} ~{\rm {K~km~s^{-1}}}$ pc2, again a lower limit because of incomplete mapping.

The situation in the ring is different. The overall conversion factor (I97) is $5\pm2$ times higher than the mean value for the individual clouds. The total CO emission is only a few per cent higher than the cloud sum, leaving no more than $L_{\rm CO} \approx 0.5 \times
10^{4} ~{\rm {K~km~s^{-1}}}$ pc2 for the intercloud CO. The $~{\rm H_{2}}$ mass contained in the detected CO clouds is $M_{~{\rm H_{2}}}(ring) \approx 3.2 \times 10^{5}~M_{\odot}$, again under the assumption that there is no atomic hydrogen contribution to the virial mass. From I97 we find, however, total ring-area masses $M_{~{\rm H_{2}}} = 16.5 \times 10^{5}~M_{\odot}$ and $M_{\rm HI} = 5.7 \times 10^{5}~M_{\odot}$. This result therefore predicts the presence molecular hydrogen not sampled by CO ( $X_{{\rm intercloud}} \leq 175 \times 10^{20} ~{\rm cm^{-2}}(~{\rm {K~km~s^{-1}}})^{-1}$) in amounts of more than twice that of atomic hydrogen. The ring is thus a rather extreme photon-dominated region (PDR), and should exhibit characteristic signposts such as strong [CI] and [CII] emission.


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