Annu. Rev. Astron. Astrophys. 1994. 32: 227-275
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5.1 Integrated Spectra of Galaxies

The spectra of galaxies are primarily those of the underlying stellar population (absorption lines) with the addition of nebular emission lines from the GH II and young starburst regions which are present if recent star formation has occurred. We first consider how one might infer the distribution of massive stars from the nebular line analyses, and then discuss spectral synthesis of the stellar features.

5.1.1 NEBULAR LINE ANALYSES     The number of exciting stars of ionized hydrogen regions (NO*) can readily be estimated from analysis of the emission line spectra (e.g. Kennicutt 1984, Shields 1990). One observes the spatially integrated Halpha flux (or the Hbeta or radio recombination measure), accounts for the extinction (if necessary), and from simple recombination theory infers the total number of Lyman continuum photons (N Lyc) being emitted. This last step contains the nominal nebular analysis assumptions of "Case B" - no dust, and ionization bounded. The N Lyc is a direct measure of the number of exciting stars. The total number released is a product of the numbers of hot stars, the slope of the IMF, and the N Lyc at each spectral subtype.

Vacca (1992, 1994) has thoroughly reviewed and quantified this procedure. He introduces the parameter eta0 as defined in the equation

Equation 3   (3)

where N O7V is the number of "equivalent" O7V type stars, and NO* is the total number of O stars. The N O7V is simply the observed N Lyc divided by the number of Lyman continuum photons emitted by an O7V star (1 × 1049 s-1). The eta0 can be calculated as a function of Gamma, Teff, and log g using the Kurucz stellar atmosphere models. Its value, tabulated by Vacca, depends also on Mupper, and the Mlower for Lyman photon production - roughly the OB star boundary. This latter parameter depends on the metal abundance Z via the stellar structure models. This procedure makes the assumption that all O stars in H II and GH II regions are main sequence; one can separately allow for massive star evolution.

How accurately does this method work? It has been calibrated using 30 Dor in the LMC. Parker (1992, 1993) and Parker & Garmany (1993) have made a detailed census of the hot star population in an 7' × 7' area centered on R136. They find about 400 O stars. Vacca (1992, 1994) has analyzed the nebular spectrum of a trailed, 15-minute spectrophotometric exposure of an 8' × 8' area scan centered on R136 (taken by M. Phillips). Using the Z value for the LMC and Parker's value for Gamma (- 1.4), he finds eta0 to be 0.44 and estimates that about 330 O stars are present, within 30% of the actual count (allowing for the slight difference in areas)! This gives us confidence in the procedure which has been applied to W-R and other emission line galaxies by Vacca & Conti (1992) as we show below (Section 5.1.4).

5.1.2 EMISSION LINE GALAXIES - STARBURSTS     These galaxies with emission line spectra like those of H II regions were noted by Sargent & Searle (1970). Given the often substantial numbers of O-type stars found within these galaxies, they can be understood to be examples of very young "starbursts." Using slit spectroscopy, one may obtain the numbers of exciting stars by a procedure similar to that outlined above for 30 Dor. For galaxies, however, we might have additional complications if the slit width does not include the entire region of interest, if the nebulosity is density bounded, or if dust is present in sufficient quantities to absorb a considerable fraction of the Lyman photons.

5.1.3 STARBURST MODELS     Several models for starburst populations have been produced to simulate various properties of the galaxy spectra such as: the overall stellar and nebular spectrum (Leitherer 1990, 1991; Leitherer et at 1992b; Bernlohr 1992, 1993), the strengths of the Si IV and CIV UV wind features emitted by O stars (Leitherer & Lamers 1991; Mas-Hesse & Kunth 1991a, b), the widths of these UV lines (Robert et al 1993), the far-infrared and radio emission by the dust (Mas-Hesse 1992, Desert 1993), the emission line ratios such as lambda4686 He II / Hbeta or the so-called W-R "bump" lambda4650 / Hbeta (Arnault et al 1989, Meynet 1994b), or other line ratios such as lambda4686He II / lambda4650CIII, which is sensitive to the WN/WC ratio (Kruger et al 1992).

The basic physical parameters for a starburst model are the star formation rate - in particular the intensity and duration of the burst, the age after its beginning, the IMF, and Z. The hope of starburst models is to disentangle these various parameters. Let us consider the didactical, but not unrealistic, case of an instantaneous "burst" (formation over a time of up to 1 Myr - small with respect to the massive star evolution time). In this case, an evolved W-R population with its prominent emission features results from only a part of the mass range of the potential W-R progenitors, while in the case of a constant SFR the W-R population results from an equilibrium mixture of the whole potential mass range. We may schematically distinguish four different epochs in the evolution of a burst according to recent models of massive stars and W-R stars (Maeder & Meynet 1994):

  1. O-phase: For an age t leq 2 Myr, massive stars are in their O-type phase, giving rise to H II regions without W-R features.

  2. WNL phase: From t = 2 Myr to about 3 Myr, a large number of W-R stars are present, nearly all of them are of WNL subtype.

  3. WC+WNL+WNE phase: After t = 3 Myr, the three subtypes may coexist with fractions depending on the mass loss and/or Z. At solar Z and standard M, WC stars dominate, followed by WNL in the first part of the period and by WNE stars in the second part. The higher the Mdot and Z, the more numerous are the WC stars. At lower Z and Mdot, single star evolution only leads to WNL stars and very few WC stars, but we may also expect (Section 4.5.2) a fraction of W-R stars of WNE type from RLOF binary evolution.

  4. O-phase (again): For t geq 7 Myr, the W-R stars have disappeared but at up to 10 Myr there are still O-type stars to produce H II region nebular emission line features. One way to distinguish between this phase and the first O-phase might be to examine the equivalent width of Hbeta nebula emission; according to Copetti et al (1986) this parameter steadily decreases in value with age in model H II regions (while the number of Lyc photons remains more or less steady, the starlight at lambda4860 steadily increases).

During these phases of a burst, the various ratios of W-R subtypes to O stars are much larger than in the case of a constant SFR. As an example, at solar Z the average WNL/O ratio is up to six times larger, and the enhancement is even greater at lower Z. The reason is that the duration of the W-R-rich phase is shorter at lower Z, meaning that stars of only a narrow mass range become W-R stars, thus the contrast between the cases of a burst and of constant SFR is much larger. For bursts longer than 1 Myr, the situation is intermediate between the instantaneous burst and constant SFR. We also notice that if an observed H II region consists of a burst plus a region of lower but constant SFR, we have for the 2 Myr after the burst a much lower W-R/O ratio than for constant SFR, since at this time the W-R stars from the burst have not yet appeared. On the whole, then, one must he cautious before making quantitative inferences from number ratios alone.

5.1.4 WOLF-RAYET GALAXIES     These are a subset of emission line galaxies in which, in addition to the nebular line spectrum, one observes broad emission at lambda4686 Å due to the presence of Wolf-Rayet stars (Conti 1991a, b, and references therein). The starburst phenomena illustrated by W-R galaxies represent an extreme burst of star formation, in which hundreds to thousands (or more) of massive stars have been born. There are currently about 50 examples of such systems, most of which have been discovered serendipitously. Many are Markarian or Zwicky galaxies and exhibit disturbed morphologies which may be the result of interactions or mergers. Examples of W-R galaxies may be found among Blue Compact Dwarf Galaxies (Sargent 1970), isolated extragalactic H II regions (Sargent & Searle 1970), dwarf irregulars (Dinerstein & Shields 1986), "amorphous" galaxies (Walsh & Roy 1987), spiral galaxies containing knots or GH II regions (Keel 1982), recent galaxy mergers (Rubin et al 1990), or powerful IRAS galaxies (Armus et al 1988).

The broad emission features are seen in contrast to the galaxy stellar population continua. The dilution is such that the few hundred Å equivalent width of an emission line of typical single W-R stars is usually only a few Å in W-R galaxies. Examples of the spectra are given in Vacca & Conti (1992) and Conti (1993). Many of these galaxies are metal-weak but this may be a selection effect, given that starburst galaxies with more normal composition are likely to have a brighter underlying stellar population, which could "drown out" the W-R stars even if present.

Vacca & Conti (1992) have recently analyzed optical spectra of ten Wolf-Rayet and four other emission line galaxies. The nebular line ratios indicate that the excitation is caused by stars. The strength of the lambda4686 Å may be used to infer the numbers of W-R stars present; this uses a calibration of the line flux for single W-R stars in the LMC, dividing that number into the measured line flux in the galaxy. Typically, tens to hundreds of W-R stars are inferred to be present in the starbursts. This procedure has been quantitatively checked by using the area spectrophotometry of 30 Dor in which a broad lambda4686 He II line is measured; the inferred numbers of W-R stars (20) are similar to the census of Moffat et al (1987). The contribution of the W-R stars to the observed N Lyc is subtracted from the observed value for the galaxy, and the remainder is treated, as above, to determine the number of O-type stars present. As it is not possible to derive the slope of an IMF from this procedure, a Gamma equivalent to that of 30 Dor was adopted for each galaxy; similarly the was assumed to be the same (100 Msun). With the usual assumptions that low mass stars have formed along with the high mass ones, typical star formation rates range from 2 × 10-2 to 3 Msun per year (the former is the value for 30 Dor).

Following the nebular line analysis taken for 30 Dor, spectrophotometric studies have provided quantitative values of WNL/O for W-R galaxies (Vacca & Conti 1992, Conti 1993). Figure 3 shows the comparison of these observations with continuous star formation and newly constructed burst models (Meynet 1994b; see also Maeder & Meynet 1994). The observed WNL/O ratios in W-R galaxies are much higher than the predictions of models with constant SFR, in agreement with previous estimates (Arnault et al 1989). In Figure 3, burst models with two different IMF slopes are shown which bracket the observations nicely. Notice also the importance of Z to the predictions. The observed values are, strictly speaking, the number of WN stars derived from the strength of lambda4686 He II, but in most of these W-R galaxies, there is little or no evidence of WC stars. The largest source of uncertainty in the observed values is a possible mismatch between the slit width (1.5") and the starburst (typically 2 to 3"). This underestimates the number of O stars. Arbitrarily correcting for this would lower the ratio by a factor 2 (see a more thorough discussion in Conti 1993).

W-R binaries might enhance the production of W-R stars, but this effect is believed to be small except at the lowest Z. While Masegosa et al (1991) suggest that SN contamination could affect the starburst properties, particularly the "blue bump" at lambda4650, this may be unimportant as no other effects (e.g. shocks) are seen in the nebular spectra of W-R galaxies (Vacca & Conti 1992). Could there be different values for Gamma in various starburst regions? This possibility has been raised in recent years (Scalo 1990; Mas-Hesse & Kunth 1991a, b; Rieke 1991; Joseph 1991; Bernlohr 1993). We have already noted (Section 2) that in regions where the O star populations can be counted directly, Gamma does appear to differ from region to region by a small, but significant amount. Thus differences in Gamma from starburst region to starburst region are possible, but final conclusions are still uncertain.

Figure 3

Figure 3. WNL/OV ratio in W-R galaxies, as a function of the oxygen abundance [O/H]; data adapted from Conti (1993); stellar models from Maeder & Meynet (1994). (bullet) Galaxies of Vacca & Conti (1992); (square) galaxies of W.D. Vacca (private communication); (triangle) 30 Dor (from Vacca 1992). The dotted line denotes the predictions for "continuous" star formation; the solid lines are for values estimated for a "burst" (see text). Gamma is the slope of the IMF as defined in Section 2.2.

From Figure 3 we conclude that for W-R galaxies, the W-R/O ratios are well above the predictions for "continuous" star formation, and nicely match the predictions of "burst" models. We infer that the starbursts observed in W-R galaxies are typically going on for only a relatively "brief" interval, typically ltapprox 106 yr. The energetics are similar to 30 Doradus at the faint end to more than 100× larger. Are these nearby starbursts paradigms for the first phases of massive star evolution in very young galaxies?

Phillips & Conti (1992) discovered evidence for WC9 stars in a GH II region at the edge of the bar in the metal-rich (+0.5 dex) galaxy NGC 1365. As their spectrum only covered the yellow region, there is currently no information on the numbers of WN stars in their strong starburst region. However, the presence of late type WC stars in a strong Z environment nicely follows the models predictions (Section 4.5.3).

5.1.5 SPECTRAL SYNTHESIS     Optical spectroscopy of most galaxies shows absorption line spectra from an old evolved population of late type giant stars. In the W-R galaxies studied by Vacca & Conti (1992) the optical absorption spectra are those of late B and A type stars (narrow K line, upper Balmer series in absorption, no other features). In these objects, even though there are large numbers of very hot stars, the optical spectra are dominated by other stars. However, in the UV the O (and W-R) stars become the dominant contributors to the continua. In emission line galaxies containing OB stars, P Cygni spectral features at lambda1400 Si IV and lambda1550 C IV are seen; if W-R stars are present, an emission line at lambda1640 He II is found.

In Figure 4 we show IUE spectra of a 3' × 3' area of the GH II region 30 Dor in the LMC and NGC 1741, a W-R galaxy. UV spectra such as these can be used directly to estimate the numbers of hot stars present by spectral synthesis techniques (Leitherer et al 1992a, b; Robert et al 1993). One can also ascertain the age of the starburst and tell whether or not the formation of the massive stars has been "continuous" or a "burst": In work in progress, Vacca et at (1994) have found a reasonable fit for the Si IV, C IV, and He II profiles for ages between 1.5 and 2 Myr for the UV spectrum of 30 Dor illustrated in Figure 4. For younger ages, insufficient W-R stars have been produced to match the lambda1640 emission line; for older ages, the Si IV and C IV profiles begin to diverge from the observations. It is also possible to estimate the number of O stars from the extinction-corrected IUE continuum of 30 Dor, as the models predict this quantity. The agreement with the census from Parker (1992, 1993) and Parker & Garmany (1993) is good. Unfortunately, even the brightest starburst galaxies are at the limit of IUE sensitivity. The 10" × 20" slit is typically larger than the starburst, so dilution of the spectral signatures can be a problem. For the number counts, but not for the age estimate, the UV extinction is critical and remains a serious problem for more general application of this method.

Figure 4

Figure 4. Observed IUE SWP spectra of 30 Dor (top) and NGC 1741 (bottom), a W-R galaxy. Stellar line features at lambda1400 Si IV, lambda1550 C IV, lambda1640 He II, and lambda1718 N IV are seen in both objects. The lines shortward of Si IV are primarily interstellar.

5.2 Global Properties

5.2.1 FAR-INFRARED LUMINOSITIES     Radiation from dusty H II and GH II regions and galaxies in the far-infrared appears to come from heating of the dust by their stellar populations. Devereux & Young (1991) have argued that the far-infrared (FIR) luminosities relate directly to the content of hot stars. They have derived the FIR luminosity of 124 spiral galaxies from the IRAS archives, which also have Halpha measurements. From the individual IRAS colors, they find that this dust is at a temperature of 30 to 40 K, corresponding to heating by hot stars: they suggest that ambient heating by stars of all types would be more like 15-20 K. In their Figure 5 they show a correlation between the FIR and the Halpha emission extending over two orders of magnitude. Part of the dispersion in their relation could come from the differences in Teff of the exciting stars. Although Devereux & Young claim that one can infer the actual Teff values, we don't believe that the modeling used is adequate.

With considerable caution, one could perhaps use the FIR luminosities of star forming regions to infer the total numbers of hot stars present, but, absent other information, one cannot infer an IMF slope (Gamma) or an Mupper. The FIR luminosities for normal spiral galaxies range from 109 to 1011 Lsun and, according to Devereux & Young (1991), show no dependence on the Hubble type. This seems at odds with the appearance of stellar images on direct plates. It would be nice to confirm that the relationship between FIR luminosity and numbers of hot exciting stars is as orderly as claimed. This might be accomplished with identifications and counts of O type stars in otherwise obscured GH II regions of our Galaxy, such as W51, through classification K band spectroscopy (Conti et al 1993).

5.2.2 IMAGING OF EMISSION LINE AND W-R GALAXIES     Optical CCD photometry of galaxies is a growth industry: Spectral syntheses of the continua can give us valuable information on stellar populations of all but the hottest and most massive stars. As we have already noted, even in W-R galaxies, demonstrably the youngest examples of starburst phenomena, the optical light comes primarily from stars of type A. Thus in this wavelength region we are sampling stars with lifetimes (not necessarily ages) of 50 million years or more.

Conti & Vacca (1994) have used the HST with FOC camera and the lambda2200 Å filter to obtain a UV image of the W-R galaxy He 2-10; the spatial resolution with image restoration is approx 0.1". At this wavelength one is primarily sampling the OB stars, which have lifetimes of a few × 106 to 107 yr. Given the presence of W-R stars in this galaxy, the age is closer to the lower of those numbers. This W-R galaxy has recently been found by Corbin et al (1993), using deep CCD photometry, to be at the center of a faint elliptical galaxy (3 kpc diameter)! There are three starburst regions, the strongest (containing W-R stars) at the center. Figure 5 is a reconstructed HST UV image of the central starburst in He 2-10. One can see ten individual knots of activity, several just at the limit of resolution (10 pc in diameter), with separations of about two to three times this number.

Figure 5

Figure 5. Reconstructed UV image of the central starburst in He2-10 (from Conti & Vacca 1994). Nine individual starburst knots are readily seen. The spatial scale across the figure is 3". corresponding to 125pc. The parent elliptical galaxy (Corbin et al 1993) is about 80" in diameter, which is much larger than the scale of this starburst.

Conti & Vacca (1994) estimate the average lambda2200 luminosities of the individual starburst knots in He 2-10 to be approx 1038 erg s-1 Å-1. This corresponds to MV of -13.9, and mean total masses (assuming a normal IMF) of a few × 105 Msun. These masses are similar to those of globular clusters, but in objects with ages of less than 10 Myr! Whitmore et al (1993) have recently identified about 40 blue objects in the galaxy merger remnant NGC 7252 as being globular clusters of age about 500 Myr, on the basis of their optical colors and absolute magnitudes. Their average MV are about one magnitude fainter than those of He 2-10, which could be an evolution effect since the starburst in NGC 7252 is older.

Conti & Vacca (1994) have noted that at least a dozen other W-R galaxies for which they have HST UV imaging also show multiple knots of star forming activity. The luminosities of the knots in several of these galaxies are substantially larger than those of He 2-10. Many of these other galaxies are clear examples of merging or interacting galaxies (the status of He 2-10 is not quite clear on this point). They thus suggest that galaxy merger events may lead to star formation episodes which produce knots of activity and eventual production of what we now recognize as globular clusters. Of course, it is not certain that where large numbers of massive stars have been produced, as in these starburst regions, low mass stars are also born. In nearby galactic associations we do consistently see a lower main sequence, but in highly energetic star formation episodes, this might not always be the case.

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