A photodissociation region study of NGC4038 Thomas G. Bisbas University College London Collaborators: Serena Viti (UCL), Mike Barlow (UCL), Jeremy Yates (UCL), Tom Bell, and Magda Vasta NGC 4038 Luminosity L ~ 7.5 x 1010 Lo (Gao+ 2001) They do not qualify as luminous IR galaxies. However, they maintain a high star formation rate. Distance D ~ 19.2 Mpc IAR (Whitmore+ 1999) D ~ 22±3 Mpc (Schweizer+ 2008) D ~ 13 Mpc (Saviane+ 2008) Star Formation * All regions have high SFR. * IAR has the highest. NGC 4039 * PAH emission is coming from regions of recent star formation. (Brandl+ 2009) NUMERICAL TREATMENT * We use 3D-PDR (Bisbas+ 2012) to calculate the PDR chemistry. The code has been used in the past in various three-dimensional applications (Offner et al. 2013, 2014). * Although the code can treat any 3D density distribution, we consider one-dimensional slabs of uniform density. We create a large parameter space with densities spanning four orders of magnitude (102 < n < 106 cm-3) and UV fields spanning more than three orders of magnitude (10 < χ < 104.5 Draines). * The parameter space grid consists of 1400 simulations. * Vazquez & Leitherer (2005) using Starburst99 concluded that the NGC4038/9 system is best reproduced assuming solar chemical composition. X-ray spectra agree towards this direction (Baldi+ 2006). We therefore adopt the following solar abundances: H = 4x10-1; H2 = 3x10-1; He = 8.5x10-2 Mg = 3.98x10-5; C = 2.69x10-4; O = 4.9x10-4 * We use the UMIST 2012 (McElroy+ 2013) chemical network consisting of 33 species. * We use a cosmic ray ionization rate of ζCR = 5x10-17 s-1 .The gas-to-dust ratio is taken to be 100:1. OBSERVATIONAL DATA * We use observational data of various lines taken from different instruments. In particular: CO (1-0) CO (2-1) CO (3-2) CO (4-3) CO (5-4) CO (6-5) CO (7-6) CO (8-7) SEST CSO CSO CSO, Herschel Herschel Herschel CSO, Herschel Herschel SEST: Aalto+ (1995) CSO: Bayet+ (2006) Herschel: Schirm+ (2014) – All CO observations have been convolved to 43 arcsec. [CI] 609μm [OI] 63μm [OI] 146μm [CII] 158μm CSO ISO-LWS ISO-LWS ISO-LWS CSO: Bayet+ (2006), Gerin & Phillips (2000) ISO-LWS: Fischer+ (1996) – All fine-structure lines have been convolved to 80 arcsec. RESULTS * For each simulation we obtain the line intensity for the finestructure lines and the 12CO ladder. * The image shows contour plots of the CO(2-1) intensity for different values of density interacting with UV radiation. * The green stream shows agreement with observations (here with CSO). CO ladder Fine-structure lines RESULTS Constraining the best-fitting density range and the number of model clouds * We use the CO ratios from our grid of models as they are often used to constrain the excitation conditions and chemistry of the molecular gas. We couple these ratios with an analysis of the best-fitting intensities for each individual line. * We introduce the scaling factor Nclouds, inferring to the beam filling factor and which represents the number of clouds needed to reproduce the total observed intensity. Beam size: 43'' Assumed distance: 20Mpc The beam size covers roughly 4 kpc of gas. Nclouds > 1 Nclouds < 1 * We find that integrating up to Av = 10 mag lead to situation where N clouds < 1 meaning that less than one molecular cloud would be needed – which is very unlikely! * We therefore arbitrarily choose to integrate and plot ratios of up to Av = 2 mag only. RESULTS Constraining the best-fitting density range and the number of model clouds We estimate the number of clouds using the relation: If less than one cloud is needed, then the best-fitting model is incorrect ! For a maximum depth of Av=2mag, we find: Nclouds ~ 104 – 105. We find the lowest density which corresponds to the bestfitting ratio, and the highest density which corresponds to the area where the two individual lines intersect. We find that for low-J transitions, we obtain a diagonal best-fitting region from low densities and low UV strengths. For high-J lines there is less dependence on the UV field strength. Best fit regions are located for ~104.5-105.2 cm-3. RESULTS Best-fitting UV field strengths based on PDR fine-structure line diagnostics * The fine-structure lines are frequently used as diagnostics for the PDR properties (Kaufman+ 1999) * The best fitting models for [CI]609μm/[OI]146μm indicate the presence of a strong radiation field, which is required to heat the gas in order to excite the [OI] 146μm line. * We find that the intensity of UV field is ~102.5 Draines. * For the [OI] 146μm the model line emission shows little sensitivity to the density. From this model, we find a UV field of 101.5 – 102.5 Draines. If this emission is diluted by the beam, this would suggest an even stronger UV field, leading to a better agreement with the [CI]/[OI] ratio. We find that the dilution factor is ~10-2. * The [CII] 158μm is matched by a very low radiation field (<10 Draines ! ): if the PDR surfaces cover the region and fill the beam, then the lower value cannot be a result of beam dilution. Therefore either PDRs are not uniformly distributed or their layers are very thin, less than 2mag. RESULTS Unified picture RESULTS Unified picture * Our findings are generally in agreement with those of other authors. * Fischer+ (1996) found typical cloud properties of PDRs corresponded to densities of (0.25-1.5) x 104 cm-3 interacting with UV fields ~ 200-2500 Draines. * Nikola+ (1998) found that the average density is ~105 cm-3 with a UV radiation field of ~500 Draines. The bulk of the [CII] 158μm comes from PDRs that only a minor fraction of the line emission can come from ionized gas in HII regions. * Gilbert+ (2000) found an average density of 104-105 cm-3 and UV field of ~5000 Draines. * Bayet+ (2006) found a best-fitting density of ~3.5 x 105 cm-3 and UV of ~105.4 Draines. * Schulz+ (2007) found that CO emission arises from small and dense clumps (<5x104 cm-3) interacting with 500-3000 Draines. * Schirm+ (2014) found a warm gas component corresponding to ~1000 Draines, and a cold component corresponding to ~100 Draines. These intensities are consistent with all three regions of the Antennae (NGC4038/9, IAR). RESULTS X-factor The contours correspond to XCO values from the PDR model, whereas the thick solid line to the Milky Way canonical value of ~ 2 x 1020 cm-2 (K km s-1)-1 (Strong & Mattox 1996; Dame+ 2001). The ellipse corresponds to our best-fit region found in the 'unified picture' plot. We find that the best XCO value for NGC 4038 is ~ 3 x 1019 cm-2 (K km s-1)-1. This is in agreement with the XCO factors derived for other AGN and starburst galaxies (see Bell+ 2006, 2007). The CO emission is related to the column density of molecular hydrogen according to: where N(H2) is the column density of H2 along the line of sight. The denominator corresponds to the integrated antenna temperature of CO (1-0) line. ** We also note that the atomic carbon (CI) might be a potentially powerful tracer for H2. See Papadopoulos+ (2004), Bell+ (2007), Offner+ (2014). First paper discussing CI as H2 tracer: Papadopoulos, Thi, Viti, 2004, MNRAS, 251, 147 DISCUSSION * The mass of a spherical cloud corresponding to a given one-dimensional slab model is determined by the equation where R is the maximum depth reached in the PDR model, nH is the H-nucleus density, mH the hydrogen mass, and μ=1.36 is a mass correction factor to account contribution from Helium and heavier elements. * Adopting Avmax = 2 mag, we find masses for individual clouds between <10Mo up to 104 Mo, whereas the total mass of all clouds is 103-1010 Mo. The range of total masses may form two extremes of the ISM conditions. * The low-mass component could indicate that the emission we are reproducing with our models comes from the surface layers of numerous larger clouds, in which case these masses are those of the total gas contained in PDRs spread across the telescope beam. * The upper end of the total mass range is comparable to estimates of the total virial mass within NGC 4038 (Wilson+ 2000). Here, our model clouds would represent the entirety of the molecular gas contained within this region, implying that all molecular gas resides within smaller, low Av clouds that fill the beam. * For the best-fit region, we find a total mass of ~ 3 x 10 4 Mo, corresponding to the warmer PDR component only, and not to the total gas mass including cold (~10K) gas. CONCLUSIONS Key publication: Bisbas et al. 2014, MNRAS, 443, 111 1. We use 3D-PDR to produce 1,400 PDR models of different densities interacting with different UV radiation fields. We compare our models with observations. 2. The number of cloud surfaces needed to match the different CO J transitions varies, as different transitions will be tracing different gas components. 3. For low-J CO transitions we obtain a diagonal-best fitting region extending from low densities interacting with low UV fields, to high densities with high UV fields. 4. For high-J CO transitions, the best fitting region is around 10 4.5 – 105.2 cm-3. 5. We argue that using a single component model to explain all results is less meaningful, as it leads to large uncertainties in the derived properties. 6. The fine-structure lines show a UV intensity of >10 2.5 Draines and a beam dilution factor of ~ 10-2 needed to reproduce the observed line emission. 7. The total mass in all clouds is estimated to be from 103 Mo up to 1010 Mo. The low mass end indicates emission from surfaces of large clouds that suffer beam dilution, while the high mass end indicates that molecular gas resides within smaller clouds that fill the beam. Best fitting mass corresponds to ~ 3 x 104 Mo. 8. The CO-to-H2 XCO factor value is less than the canonical Milky Way value, which is in agreement with the values found for other starburst galaxies and AGNs.
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