Mon. Not. R. Astron. Soc. 311, 485±492 (2000) A Seyfert-like nucleus concealed in BL Lacertae? E. A. Corbett,1 A. Robinson,1 D. J. Axon1,2w and J. H. Hough1 1 2 Department of Physical Sciences, University of Hertfordshire, Hatfield, Hertfordshire AL10 9AB Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218, USA Accepted 1999 August 16. Received 1999 July 9; in original form 1998 June 8 A B S T R AC T We present a series of new spectroscopic observations of BL Lacertae. The observations were obtained over a period of 30 months and sample the violent continuum flare of 1997 June±August. The equivalent width of the recently discovered broad Ha line varies approximately inversely with the optical continuum flux, implying that the broad-lineemitting gas does not respond significantly to large variations in the beamed synchrotron continuum which dominates the spectrum at optical wavelengths. The simplest and most plausible interpretation of this result is that the broad-line region in BL Lacertae is `unaware' of the synchrotron beam and is photoionized by another source, a likely candidate being a hot accretion disc. Alternatively, similar behaviour would be observed if the broadline region is indeed photoionized by the synchrotron beam but is predominantly matterbounded so that it absorbs only a small fraction of the incident ionizing photon flux. Key words: line: formation ± BL Lacertae objects: individual: BL Lacertae ± quasars: emission lines. 1 INTRODUCTION BL Lacertae is the prototype of a class of active galactic nuclei (AGN) associated with compact radio sources and exhibiting featureless ultraviolet to infrared continua, rapid flux variability and high, variable polarization (Moore et al. 1982; Bregman et al. 1990; Mead et al. 1990; Carini et al. 1992). BL Lac objects share these characteristics with optically violent variable (OVV) or high-polarization (HP) quasars. The extreme continuum properties of these objects, collectively known as blazars, are widely believed to result from Doppler beaming of synchrotron emission from the relativistic jets which power their radio sources. BL Lac objects are conventionally distinguished from OVV/HP quasars by their lack of strong emission lines. This distinction has become somewhat blurred, however, by the detection of broad emission lines in several sources that were originally classified as BL Lac objects (Ulrich 1981; Sitko & Junkkarinen 1985; Moles, Masegosa & Del Olmo 1987). Recently a broad Ha line has been observed in BL Lacertae itself (Vermeulen et al. 1995), raising the question of whether the eponymous empirical classification does indeed reflect a genuine difference in physical properties (e.g. in the amount of gas present in the nucleus). Alternative possibilities are that BL Lac objects represent a distinct evolutionary state (e.g. episodic broad-line emission) or are merely low-luminosity counterparts of the OVV/HP quasars (with correspondingly weak ionizing continua). BL Lacertae was identified as the optical counterpart of the w Affiliated with the Astrophysics Division of ESA. q 2000 RAS radio source VRO 42.22.01 by Schmitt (1968). It lies within an elliptical galaxy (Miller, French & Hawley 1978) and weak, narrow emission lines have been detected, allowing an accurate redshift to be determined z 0:0688 ^ 0:0002: Miller & Hawley 1977). The radio source is highly compact, but on milliarcsecond scales has structures moving away from a stationary central component at superluminal speeds (Mutel et al. 1990). In 1995 Vermeulen et al. (1995) discovered broad emission lines at the redshifted wavelengths of Ha and Hb . The broad Ha line has Ê ), but its luminosity LHa , a small equivalent width (,6 A 1041 erg s21 and full width at half-maximum FWHM < 3700 km s21 are comparable to those of Seyfert type 1 galaxies such NGC 4151 (Corbett et al. 1996, hereafter C96). It is important to establish the origin of the broad-line emission in BL Lacertae. It is widely accepted that in Seyfert type 1 nuclei and quasars the broad-line-emitting gas is photoionized by extreme-ultraviolet (EUV) continuum radiation. According to unification schemes (e.g. Barthel 1989; Antonucci 1993), the observed continuum in radio-loud AGN is a combination of highly beamed non-thermal and comparatively isotropic thermal components. The non-thermal component is attributed to synchrotron emission from the radio jet. In blazars, our line of sight is closely aligned with the radio jet, and Doppler-boosted synchrotron emission therefore dominates the observed continuum from radio to optical wavelengths. The thermal component is thought to originate from an accretion disc, and extends from UV wavelengths to soft X-rays. This component dominates the optical±UV spectrum of most AGN, both radio-loud and radioquiet, and appears to be present in at least some OVV/HP quasars 486 E. A. Corbett et al. (e.g. Smith et al. 1986; Koratkar et al. 1998), as is required by unification schemes. However, there is as yet no evidence for such a component in BL Lac objects. Assuming that the broad-line-emitting gas in BL Lacertae is similarly photoionized, the only apparent source is the beamed synchrotron continuum emitted by the jet. The broad-line region (BLR) would then be illuminated by a highly anisotropic radiation field and, unless BL Lacertae is a special case, this would raise the possibility that relativistically beamed synchrotron radiation also influences the broad-line emission in other radio-loud AGN. We have shown (C96) that the observed Ha equivalent width is consistent with photoionization of the BLR by beamed synchrotron emission alone for jet Lorentz factors and viewing angles within the limits implied by the observed superluminal motion of the radio source. Nevertheless, it can equally well be explained by thermal radiation from an accretion disc without easily observable consequences for the optical continuum: e.g. a spectral flattening or depolarization of the observed continuum towards the blue. If this were the case, it would be reasonable to suppose that BL Lacertae and its class are intrinsically similar to quasars in that both a BLR and an EUV-emitting accretion disc are present in their nuclei. In principle, we can distinguish between these two continuum sources from the way in which the Ha equivalent width, WHa , varies with the optical continuum brightness. If an accretion disc is the primary source of photoionizing radiation for the BLR, the line emission will be independent of variations in the observed optical continuum, since this is dominated by synchrotron emission, and WHa will therefore be anticorrelated with the continuum brightness. On the other hand, we expect WHa to remain constant as the optical continuum varies, if the broad-line emission is powered by radiation from the same source, i.e. the synchrotron beam. In this paper we present a series of spectroscopic observations of the Ha line in BL Lacertae, obtained over a period of 30 months, and use these data to determine the nature of the relationship between the line equivalent width and the optical continuum flux. 2 O B S E RVAT I O N S Intermediate-resolution spectra of the Ha region of BL Lacertae were obtained during a series of observations with the 4.2-m William Herschel Telescope (WHT) at the Observatorio de la Roque de los Muchachos on La Palma. The ISIS dual-beam spectrograph was used with a 1-arcsec slit in all observations. In total, eight spectra were acquired at irregular intervals during a Table 1. Log of spectroscopic observations obtained at the WHT between 1995 June 4 and 1997 December 7. Date 1995 1995 1995 1996 1997 1997 1997 1997 Jun 4 Jul 7 Aug 24 Aug 18 Jun 27 & 28 Nov 141 Nov 302 Dec 7 No. obs. Total exp. (s) V-band mag. Flux correction 1 1 2 1 2 3 3 2 2400 1200 2400 1200 2700 3600 3600 2700 15.76 ^ 0.02 0.73 15.2 ^ 0.1 14.8 ^ 0.1 15.2 ^ 0.1 14.8 ^ 0.1 1.261 1.952 1.23 1 Calibration correction determined from observations of a second standard star. 2 Observation affected by cloud. period of 30 months (Table 1). Each spectrum has a wavelength Ê (covering the region 6400±7400 A Ê in range of ,1500 A Ê pixel21; when several spectra particular) at a dispersion of 1.5 A were obtained during one or two (consecutive) nights, these have been combined to form an average spectrum. The total exposure times for each of the resulting spectra are listed in column (3) of Table 1. On a few occasions we were able to obtain near-simultaneous CCD photometry of BL Lacertae in the V band (Table 1). On 1995 June 4 the V magnitude of the source was found to be 15:76 ^ 0:02 mag from simultaneous observations with the 1.0-m Jacobus Kapteyn Telescope (C96). On 1997 November 30 and December 7, V-band images of a field centred on BL Lacertae were obtained with the Auxiliary Port Camera of the WHT. This field includes two photometrically calibrated stars (stars b and c: Bertaud et al. 1969) which have been used over a number of years as reference stars in monitoring campaigns of BL Lacertae (e.g. Smith et al. 1987). The V magnitudes of BL Lacertae on these nights were determined to be 15:2 ^ 0:1 and 14:8 ^ 0:1; respectively. 2.1 Flux calibration The spectra were flux-calibrated in the usual way using observations of spectrophotometric standard stars. With the exception of the night of 1997 November 30, observing conditions were good, but the photometric accuracy of the flux calibration is nevertheless limited by slit losses and, for some nights, slight variations in transparency. At those epochs when near-simultaneous V photometry was obtained, corrections were applied to the spectroscopic flux calibrations as follows. The measured V magnitudes were Ê and the continuum in each converted to flux densities at 5500 A spectrum fitted with a power law which was then extrapolated Ê . The ratio between the flux density as determined down to 5500 A from the photometry and that determined from the extrapolated spectrum was used to scale the line and continuum fluxes subsequently measured from the spectrum. On 1997 November 14 a wide-slit observation of reference star b was obtained, and its known R magnitude used in a similar way to estimate the flux calibration correction. With the exception of the observations obtained on 1997 November 30, which were affected by cloud, the corrections applied were approximately 25 per cent of the measured fluxes (Table 1). We estimate that the error in the corrected fluxes measured from these spectra is #10 per cent (the accuracy of the photometry). We were unable to obtain supplementary flux calibration data for the remaining four observations. Nevertheless, count rates measured from the individual frames comprising each observation are reasonably consistent, suggesting that the flux measurement errors do not exceed the <25 per cent corrections applied to the spectra for which we have photometric data. The systematic errors in the absolute flux calibration do not, of course, affect the measurements of the line equivalent widths presented below. Moreover, the 25 per cent uncertainty in the continuum flux is small compared with the variability amplitude of BL Lacertae: the optical continuum brightness changed by a factor of 5 during the course of our observations. The 1995 July 7 spectrum was obtained without an ordersorting filter to block out second-order diffraction from the blue end of the spectrum. As a result, when the flux calibration was performed for BL Lacertae the spectrum was under-corrected at q 2000 RAS, MNRAS 311, 485±492 A Seyfert-like nucleus in BL Lac? Ê . This has been corrected by wavelengths above about 6700 A forcing the continuum of the 1995 July 7 observation to have the same shape as an average spectrum formed from the 1995 June 4 and 1997 November 14 data (the two spectra with similar continuum flux levels to the 1995 July 7 spectrum). The Ha region of the spectrum is affected by atmospheric Ê which absorption features, notably the oxygen B band at 6870 A falls close to the blue wing of the line. These features were corrected by dividing the observed spectra by templates formed from the spectra of photometric standards obtained during the same night. The quality of the correction depends on the photometric conditions during the observations, and hence small residuals remain in some spectra. The flux-calibrated spectra are shown in Fig. 1. we applied corrections for Galactic extinction and contamination by starlight as described in C96. A value E B±V < 0:3 was used for the differential extinction in the direction of BL Lacertae. The contribution of host galaxy starlight was estimated by matching a template (a spectrum of the E0 galaxy NGC 4339) to the TiO feature in the spectrum obtained on 1995 June 4, when our photometric data indicate that the source was in its lowest state. We estimate that starlight accounts for 15 per cent of the measured Ê in this spectrum. The template spectrum flux density at 6400 A was scaled accordingly and subtracted from each spectrum of BL Lacertae. For comparison, Vermeulen et al. (1995) estimated a Ê. Galactic contribution of approximately 12 per cent at 5480 A 3 2.2 Correction for Galactic extinction and contamination by the host galaxy Prior to measuring the line and continuum fluxes from the spectra, 487 R E S U LT S The broad Ha line was clearly detected in all of our spectra except that obtained from the observations of 1997 June 27 and 28, when BL Lacertae was particularly bright. At this epoch the continuum flux was higher by a factor of .2 than it was in its next brightest state (1997 December 7), and a factor of .5 higher than it was in the faintest state that we have observed (1995 July 7). Data from other sources confirm that BL Lacertae underwent a major flare during 1997 June, July and August at both optical and g -ray wavelengths (Takalo, private communication; Bloom et al. 1997; Noble et al. 1997; Nesci et al. 1998). In subsequent observations obtained in 1997 November and December, after the source had faded, broad Ha was again detected at a strength comparable to that seen in the observations prior to 1997 June. 3.1 Measurement of the broad Ha line The equivalent width and integrated flux of the broad Ha line were measured from each spectrum by modelling the blended Ha 1[N ii] feature as the sum of four Gaussian profiles representing, respectively, the broad wings and narrow core of Ha and the [N ii]ll 6548, 83 doublet. This procedure is described in detail in C96. Prior to performing the fit, the local continuum (under the line) was removed by subtracting either a power-law or a quadratic fit to continuum windows either side of the emissionline feature. The choice of function was dictated by the particular atmospheric standard used for each spectrum. In view of the uncertainty surrounding the reddening correction and, in particular, the strength of the Galactic contribution, we have measured the emission-line fluxes both before and after these corrections Ê (F6563), and the flux were applied. The continuum flux at 6563 A (FHa ), equivalent width (WHa ) and FWHM of the broad Ha line are listed for each case in Table 2. The simulations described in C96 suggest that the minimum Ê in data of comparable detectable line equivalent width is 1±2 A quality to those obtained on 1997 June 27 and 28. We therefore set Ê on the equivalent width of the a conservative upper limit of 2 A broad Ha feature at this epoch. 3.2 Relationship between the Ha line and the local continuum Figure 1. The observed spectra of BL Lacertae before correction for Galactic extinction and contamination by the host galaxy. Note the large change in continuum flux over the 30-month period. q 2000 RAS, MNRAS 311, 485±492 The variation of WHa with the local continuum flux is shown for the corrected data in Fig. 2. It is clear that WHa is anticorrelated with the continuum flux. Fig. 3 shows these two quantities plotted in chronological order. There is an anticorrelation in detail, lower 488 E. A. Corbett et al. Table 2. Continuum flux and broad Ha line properties measured from the spectra before and after correction for extinction and host galaxy contamination. Flux is measured in units of 10215 erg cm22 s21. Date 1995 1995 1995 1996 1997 1997 1997 1997 Ê 21) F6563 (A Jun 4 Jul 7 Aug 24 Aug 18 Jun 27 Nov 14 Nov 30 Dec 7 2.9 ^ 0.2 2.8 ^ 0.7 4.9 ^ 1.2 5.2 ^ 1.3 15.3 ^ 3.8 3.4 ^ 0.3 5.0 ^ 0.5 7.0 ^ 0.7 Uncorrected data Ê) FHa WHa (A 14.9 ^ 1.0 16.0 ^ 4.1 29.1 ^ 7.5 16.1 ^ 4.3 ± 18.4 ^ 2.3 20.1 ^ 2.5 8.7 ^ 1.5 5.2 ^ 0.7 5.7 ^ 0.6 5.9 ^ 0.7 3.1 ^ 0.4 ,2 5.5 ^ 0.7 4.0 ^ 0.5 1.2 ^ 0.2 FWHM (km s21) 3720 ^ 220 3900 ^ 120 4080 ^ 160 2950 ^ 150 ± 3550 ^ 160 4760 ^ 240 2640 ^ 240 Figure 2. Plot showing the variation of WHa with the continuum flux under the line for the data after correction for Galactic reddening and the host galaxy contribution. The upper limit is for 1997 June 27 and 28, based on our non-detection of the broad line in that spectrum. The solid line is a least-squares fit of the function W Ha constant/F 6563 to the data. values of WHa invariably corresponding to higher continuum fluxes. Similar trends are apparent in the uncorrected data. Table 2 shows that the continuum flux varied by a factor of .5 between the highest and lowest states sampled by our observations. In contrast, five out of seven measurements yield broad Ha fluxes within about 25 per cent of one another. The range in flux both before and after correction for reddening and host galaxy contamination 1:5±2:0 10214 and 2:2±2:9 10214 erg cm22 s21, respectively) is comparable to the uncertainties on the individual measurements. The continuum flux varies by a factor of 2 in the same set of spectra. The two remaining line flux measurements yield, respectively, the highest and lowest values of the series. The former has a relatively large uncertainty and its deviation from the above range is not significant at the 2s level. The other measurement is nearly a factor of 2 lower than the mean, and its formal uncertainty suggest that this is significant. However, the continuum brightness in this observation was the second highest that we recorded, and we believe that our fitting procedure may have significantly underestimated the flux in the broad-line wings which are largely swamped by the continuum. This is consistent with the fact the broad-line FWHM in this case is the lowest (Table 2) returned by the model fit to the Ha 1[N ii] Corrected data Ê) FHa WHa (A Ê 21) F6563 (A 3.9 ^ 0.2 3.7 ^ 0.9 7.3 ^ 1.8 7.7 ^ 1.9 25.9 ^ 6.5 4.4. ^ 0.4 7.4 ^ 0.7 10.8 ^ 1.1 22.9 ^ 2.7 26.1 ^ 7.3 48 ^ 12.9 26.6 ^ 7.1 ± 28.6 ^ 5.4 28.6 ^ 4.6 17.1 ^ 2.6 5.9 ^ 1.4 7.0 ^ 1.2 6.6 ^ 0.9 3.4 ^ 0.5 ,2 6.5 ^ 1.2 3.9 ^ 0.6 1.6 ^ 0.2 FWHM (km s21) 4020 ^ 450 4000 ^ 300 4050 ^ 220 2580 ^ 160 ± 5050 ^ 490 4530 ^ 390 2030 ^ 150 Figure 3. A time-series plot of the data showing the continuum flux at Ha (open circles) and the line equivalent width (filled circles) for the data after correction for reddening and host galaxy contamination. Again, the equivalent width for the 1997 June 27 and 28 is shown as an upper limit based on our non-detection of a line in that spectrum. blend. Therefore, although the largest change in line flux that can be admitted by our measurements is approximately 50 per cent, we believe that any changes that have occurred are probably somewhat smaller, and indeed there is no compelling evidence in our data that the broad Ha flux has undergone any significant variations. We draw the following conclusions from our data: (i) the equivalent width of the broad Ha line is inversely proportional to the optical continuum flux; (ii) consistent with the above, the line flux did not vary significantly in response to the large changes which occurred in the optical continuum between 1995 June and 1997 December. Therefore the broad Ha emission does not show a significant response to large variations in the beamed synchrotron continuum, implying that the line-emitting gas is effectively `unaware' of such variations. 4 DISCUSSION In C96 it was shown that the Ha equivalent width observed in 1995 June could be explained by photoionization of the BLR by q 2000 RAS, MNRAS 311, 485±492 A Seyfert-like nucleus in BL Lac? the beamed synchrotron continuum alone for jet parameters consistent with the observed superluminal motion of the radio source. Here we consider whether this picture can still be supported in the light of the subsequent variations in the line equivalent width. 4.1 Photoionization by Doppler-boosted synchrotron continuum If the Doppler-boosted synchrotron continuum emitted by the relativistic jet is the primary source of ionizing radiation seen by the BLR, we might naively expect the Ha equivalent width to remain constant as the featureless optical continuum varies, since the latter is emitted by the same source. This assumes: (i) that the photoionizing flux varies simultaneously with, and with at least the same amplitude as, the optical continuum; (ii) that light traveltime delays within the illuminated region of the BLR are negligible; and (iii) that the line-emitting clouds are radiationbounded in the sense that all ionizing photons impinging on them are absorbed. The first two of these assumptions are reasonable. In BL Lac objects the optical and UV continuum fluxes appear to be closely correlated, although variation amplitudes tend to increase to shorter wavelengths. For example, the recent intensive monitoring of PKS 2155±304 (Urry et al. 1997, and references therein) showed a close correspondence between the optical and UV fluxes, with variations in these bands following somewhat larger changes in the EUV after a lag of ,2 d. The variability behaviour of blazars differs widely from object to object (and even individual objects may exhibit different behaviour at different epochs), so we cannot necessarily assume that BL Lacertae exhibits similar characteristics. Nevertheless, it is worth noting that, during the 1997 outburst in BL Lacertae, variations in the optical bands were closely correlated (Nesci et al. 1998) and the g -ray flare was apparently followed within hours by a flare in the optical continuum (Bloom et al. 1997). We therefore have reasonable grounds for assuming that the EUV continuum is approximately proportional to the optical continuum. We also expect light traveltime delays within the BLR to be negligible, since relativistic beaming of the photoionizing continuum results in most of the line flux being emitted from clouds close to our line of sight. Even in Seyfert galaxies, where a high degree of beaming is unlikely, the lag between the continuum and line variations is typically less than, or comparable to, the intervals between our observations (e.g. Peterson 1993). For example, in NGC 4151, which has an Ha luminosity comparable to that of BL Lacertae, the lag is only ,1 week for the Balmer lines (Maoz et al. 1991). Therefore, if the BLR is radiation-bounded and is illuminated solely by the beamed synchrotron continuum, the line flux should vary with the optical continuum flux, while WHa remains constant. This case is conclusively ruled out by our data (Figs 2 and 3). However, it may be unrealistic to suppose that the BLR is everywhere radiation-bounded. Near its axis the beam could be sufficiently intense that the BLR in this region is matter-bounded (i.e. optically thin at the Lyman limit). Some fraction of the ionizing photon flux will pass through the gas without being absorbed, and the total line luminosity will then no longer scale linearly with the continuum. In the limiting case where the entire BLR is matter-bounded, the Ha luminosity is effectively independent of the ionizing continuum and therefore WHa will vary inversely with the optical continuum flux, as observed. It is q 2000 RAS, MNRAS 311, 485±492 489 not clear, however, that higher observed values of WHa could be reproduced in that case, since matter-bounded clouds produce Ha photons at reduced efficiency. In the limiting radiation-bounded (optically thick) case the production efficiency for Ha photons (the number of Ha photons emitted per incident ionizing photon) is CpHa , where C is the BLR covering fraction and pHa the probability that any recombination event leads to the emission of an Ha photon. For matter-bounded clouds not all ionizing photons are absorbed and so the efficiency is reduced by the factor N/Ns, where Ns is the StroÈmgren column density and N the actual column density of the cloud. Since N/N s ! 1 for high ionizing fluxes, the measured WHa may be difficult to obtain if a significant part of the BLR is matter-bounded. We investigate the relationship between WHa and the optical continuum for a partly matter-bounded BLR using a model similar to that considered by C96. The BLR is represented by a spherical shell illuminated by beams of ionizing radiation from twin, antiparallel relativistic jets. We adopt the same values for the radius r 2 1016 cm; covering fraction C 0:1 and density n 1011 cm23 as C96. The illuminating synchrotron continuum produced by each beam has a power-law spectrum f n / n2a ; where a 2; and is Doppler-boosted by a factor D31a , where D g 1±bcos u21 ; g and b have their usual meanings, and u is polar angle (measured from the jet axis). The surface emissivity in Ha at an angle u from the beam axis is 1 / Cf u min 1; N/N s ; where f (u ) is the total ionizing photon flux and N is the BLR column density. Note that, since the StroÈmgren column N s / f u/n; the emissivity in the matter-bounded case N , N s is independent of f (u ). This model was used to calculate the Ha luminosity and hence WHa as a function of the local continuum flux density for several assumed values of the BLR column density, and for Lorentz factors and jet inclinations, i, consistent with the apparent superluminal expansion speed b app of the radio source. Four superluminal components have been identified in BL Lacertae with apparent speeds in the range (3.16±3.79)c h21, where h H 0 /100 km s21 Mpc21 and the values quoted are for q0 0:05 (Mutel et al. 1990; Vermeulen & Cohen 1994). We assume h 0:75 and use the weighted mean, bapp 4:6 ^ 0:2; of the apparent speeds of the four components as listed by Vermeulen & Cohen. Guerra & Daly (1997) use this value of b app, together with Doppler factors estimated from both the inverse Compton and equipartition methods, to calculate bulk Lorentz factors and jet inclinations for BL Lac. From the two methods they obtain Lorentz factors gIC 5:0 ^ 1:6 and geq 4:7 ^ 0:4; respectively, but the jet inclination is poorly constrained. The standard formula relating b app to b and i implies that i , 258 for the value of b app obtained for BL Lac. However, in order to restrict the Lorentz factor to be roughly consistent with the values estimated by Guerra & Daly (1997), we impose the somewhat more stringent limit i # 208 (for which g # 6: The model was normalized to the observed values of the Ha equivalent width and the local continuum flux on 1995 July 7, when the latter was in its lowest observed state (Table 2). In practice, this was achieved for each value of N by adjusting i within its upper limit so as to obtain an approximate match to the Ê ). Note that, since b app is fixed, target value of WHa (7 A increasing (or decreasing) i produces corresponding increases (or decreases) in g and hence in the Doppler boosting factor, but the 490 E. A. Corbett et al. radiation will be beamed into a smaller (larger) span in polar angle, since Du , 1/g: The predicted variation of WHa with continuum flux is shown in Fig. 4 for several values of the BLR column density. For N 1025 cm22 ; the BLR remains largely radiation-bounded and therefore WHa exhibits only a slight decrease as the continuum increases to a level comparable to that observed in the high state. For smaller values of N, the BLR becomes matter-bounded over an increasingly large solid angle around the beam axis, and, as a result, WHa declines increasingly rapidly with increasing continuum flux. However, for column densities N , 1024 cm22 the BLR absorbs only a small fraction of the incident ionizing photon flux, and therefore produces Ha photons with very low efficiency. Larger Doppler-boosting factors can be obtained by increasing i, but this does not lead to a proportionate increase in Ha because more of the ionizing photons are then beamed into the matter-bounded `window' in the BLR. As a result, the model cannot reproduce the observed low-state value of WHa for i # 208 unless the BLR covering fraction is significantly greater than the canonical value of 10 per cent. In reality, the Ha equivalent width is likely to be even lower than predicted for given values of N and i. The on-axis ionization parameter is U f 0/cn , 100; high enough to destroy the ions that emit the major collisionally excited cooling lines (e.g. C iv l 1549, O vi l 1034: Korista et al. 1997). In this situation, the gas becomes thermally unstable and undergoes runaway heating (Krolik, McKee & Tarter 1981). In effect, the beam `burns' a hole through the BLR, further reducing the amount of Ha emission produced and necessitating yet higher BLR covering fractions to reproduce the low-state value of WHa . If we simulate this effect in the model by setting 1 to zero within the polar angle for which U $ 10; we find that, for N # 1023:5 cm22 ; covering fractions C $ 0:4 are needed to reproduce the observed low-state value of WHa . A reasonably good fit to the observed variation of WHa with continuum flux density can be obtained with the relationship W Ha / F 21 6563 ; which corresponds to the limiting case in which the BLR is fully matter-bounded (Fig. 2). The predicted WHa ±F6563 relationship tends toward a somewhat shallower limiting curve 23:5 W Ha , F 20:8 cm22 ; since the BLR never 6563 for N # 10 becomes entirely matter-bounded (for lower values of N, higher Doppler-boosting factors are required to obtain the target value of WHa , resulting in a narrower beam). Formally, this curve fits the data equally well, although only if we use BLR covering fractions higher than the canonical 10 per cent. To summarize, the model calculations show that, for canonical BLR parameters, photoionization by Doppler-boosted ionizing synchrotron radiation from the relativistic jets cannot explain the observations. For BLR column densities N $ 1024 cm22 ; the beaming model does reproduce the observed relationship between WHa and the optical continuum. On the other hand, for N , 1024 cm22 the model predicts an WHa ±F6563 relationship similar to that observed, but the BLR absorbs too few ionizing photons to produce the observed low-state Ha equivalent width for jet inclinations and bulk velocities consistent with the observed b app and inferred Lorentz factor. The actual column density of the BLR is poorly constrained, but a canonical value of N 1023 cm22 is often employed in photoionization models (Korista et al. 1997). If this value is indeed characteristic of the BLR clouds, they would have to cover 50 per cent of the sky as seen from the source in order for photoionization by the blazar beam to produce an Ha equivalent width comparable to that observed. 4.2 An alternative: photoionization by EUV continuum from an accretion disc If the beamed synchrotron continuum cannot adequately account Figure 4. Comparison of the observed Ha equivalent width (filled circles) with the predicted variation with optical continuum flux density (relative to the 1995 June 4 value) for a model in which the BLR is photoionized by relativistically beamed synchrotron radiation. The solid line shows the 1/ Frel fit to the measured points. The dashed lines represent models calculated for a BLR covering factor C 0:1 and various column densities (each model is identified by the logarithm of the column density, N, in cm22).The dotted line is a model for N 1023 cm22 and C 0:35 (see text). Figure 5. The predicted spectral energy distribution for a model in which the continuum spectrum has contributions from both a synchrotron component (modelled as a power law of spectral index a 2 and a hot accretion disc (characteristic temperature T 1:5 105 K: The beam intensity is 16 that of the disc emission at Ha , which is the smallest ratio predicted by our model. The combined continuum spectrum (thick line) is shown, with the synchrotron contribution (dashed line) and the accretion disc component (thin line). q 2000 RAS, MNRAS 311, 485±492 A Seyfert-like nucleus in BL Lac? for the observed behaviour of WHa , the BLR must be illuminated by another, more isotropic source of ionizing photons. This source must be sufficiently feeble at UV±optical wavelengths that it is overwhelmed by the synchrotron continuum, and should not exhibit rapid, large-amplitude variability (so as to avoid large variations in the broad Ha flux). Thermal emission from the surface of a hot accretion disc would meet these requirements. This idea was considered by C96, who modelled the optical continuum as a combination of relativistically beamed synchrotron radiation (described by the same power law as used in the beamed illumination model) and a constant contribution from a thermal accretion disc. The continuum spectrum emitted by the disc is given by f n / n1/3 e2hn/kT ; where n is the frequency and T is the characteristic temperature of the disc. The optical continuum is dominated by synchrotron emission but the disc emission peaks in the EUV (for T . 105 K and is thus the dominant source of ionizing photons (Fig. 5). Variability in the optical, even with high amplitudes, will therefore have little effect on the line flux, which is tied to the disc continuum. The latter may itself be variable, and indeed the broad emission lines in Seyfert type 1 nuclei are known to follow fluctuations in the UV±optical continuum, which is generally attributed to emission from the accretion disc. However, these variations are small in amplitude compared with the violent variability observed in blazars. In the case of BL Lacertae, therefore, we expect WHa to vary approximately inversely with the continuum flux. Our observations are consistent with this prediction. As already noted, a function of the form W Ha constant/F 6563 produces a reasonably good fit to the data both before and after correction for the host galaxy and reddening in our Galaxy (Fig. 2). Would an accretion disc continuum sufficiently strong to explain the observed WHa produce an observable signature, such as a flattening of the continuum spectrum in the near-UV? In the model discussed by C96 the characteristic temperature of the accretion disc was assumed to be T 1:5 105 K; and the covering fraction of the BLR to be 10 per cent. With these assumptions we found that the accretion disc would contribute ,6 per cent of the observed optical continuum on 1995 July 7, when the source was at its faintest for our series of observations. In Fig. 5 we plot the combined continuum spectrum inferred for a model in which the synchrotron power law is characterized by a 2 (typical of the optical continuum of BL Lacertae: C96) and the disc continuum contributes 6 per cent of the total flux at the wavelength of Ha . The slope of the combined continuum differs only slightly a 1:75 from the pure synchrotron power law in Ê , with significant flattening only becoming the range 8000±4000 A evident at shorter wavelengths. This model represents an upper limit, since it corresponds to the smallest measured continuum flux and the largest values of WHa . It is therefore unlikely that, even at low optical continuum brightness, an accretion disc component of this characteristic temperature would be detected in optical spectra. Cooler discs producing the same ionizing luminosity will make larger contributions to the optical continuum. We estimate that the characteristic disc temperature must be T . 1:2 105 K for the thermal component to remain undetected in the optical spectrum. It is worth considering whether soft X-ray observations might constrain the spectral energy distribution of the photoionizing continuum. The exponential high-energy tail of a hot accretion disc spectrum might, for example, be seen as a soft X-ray `excess' above the synchrotron power law. In fact, an analysis of ROSAT data (Lamer, Brunner & Staubert 1996) shows that the q 2000 RAS, MNRAS 311, 485±492 491 0.1±2.4 keV continuum can be fitted by a power law of spectral index a 2:0 ^ 1:6; which is consistent with the slope of the optical continuum. However, our model shows that a T 1:5 105 K disc would contribute negligible flux at energies $100 eV (Fig. 5), and thus does not conflict with the soft X-ray data. In general, given the large uncertainty in the X-ray spectral index, the existing data do not strongly constrain either the temperature or the strength of the putative disc component. 5 CONCLUSIONS Measurements of the broad Ha emission in eight spectra of BL Lacertae obtained over a period of 30 months show that its equivalent width, WHa , varies approximately inversely with the optical continuum flux. We conclude from this that the broad Ha line does not respond to changes in the power of the relativistically beamed synchrotron emission that dominates the optical continuum. Similar results have been obtained from studies of the OVV quasars 3C 279 (Koratkar et al. 1998) and 3C 273 (Ulrich, Courvoisier & Wamsteker 1993). In these cases, the flux of the Lya line remained constant while the continuum flux varied by as much as a factor of 50. An analysis of models in which the BLR in BL Lacertae is photoionized by the beamed synchrotron continuum shows that, for canonical parameters, the lack of response in the Ha line cannot be attributed to the presence of a matter-bounded `hole' in the BLR. However, with an increased covering fraction, models with BLR column densities N , 1024 cm22 are consistent with the observations. The canonical value for the BLR covering fraction of 10 per cent is based on photon-counting arguments (e.g. Baldwin & Netzer 1978), and these are supported by the low incidence of Lyman continuum absorption in quasars (Koratkar, Kinney & Bohlin 1992). Nevertheless, we cannot exclude the possibility that the covering fraction differs considerably among AGN. For example, a recent photoionization model of the type 1 Seyfert NGC 5548 (Goad & Koratkar 1998) indicates a BLR covering fraction approaching 40 per cent, comparable to what we require to explain the Ha equivalent width in BL Lacertae. Therefore we cannot rule out the blazar synchrotron beam as the ionizing continuum source responsible for the observed Ha emission. Having said that, we believe that a more plausible explanation for the observed relationship between the continuum brightness and WHa is that the BLR is photoionized by emission from a second continuum source, which is not directly observed in the optical band. An obvious candidate is a hot accretion disc. If this interpretation is correct, the prototype BL Lac object harbours not only a BLR but also a Seyfert-like EUV continuum source. We estimate that a disc with a characteristic temperature T . 1:2 105 K would be difficult to detect directly in optical spectra. In order to confirm the presence of such a source, observations in the far-UV or soft X-rays (10±100 eV) are required. The modelling reported in this paper indicates that the current data cannot be used to distinguish the two alternative hypotheses. However, in order to explain the observations in terms of illumination by the blazar beam, a significant fraction of the BLR must be optically thin at the Lyman limit. In contrast, the strong correlations that hold in Seyfert 1 galaxies between the Balmer line and continuum fluxes imply that most of the emitting gas is optically thick (Peterson 1993). Consonant with this, the broadline intensities of these objects are fairly well reproduced by 492 E. A. Corbett et al. photoionization models in which the emitting clouds are optically thick (e.g. Kwan & Krolik 1981; Baldwin et al. 1995). Hence, if it were indeed the case that a major part of the BLR in BL Lacertae is optically thin, we would expect the relative intensities of its broad emission lines to differ substantially from those in type 1 Seyfert nuclei. In particular, high-ionization lines such as Lya , C iv l 1550 and the He ii ll 1640, 4686 lines should be considerably stronger (cf. Shields, Ferland & Peterson 1995) relative to low-ionization lines such as Mg ii l 2800 and the hydrogen Balmer lines in BL Lacertae than in a typical type 1 Seyfert. It follows that detailed spectroscopy, preferably extending to the ultraviolet, will be required finally to resolve the question of whether BL Lacertae can be understood as a pure blazar beam, or whether an additional source, namely a Seyfert-like nucleus, is required. AC K N O W L E D G M E N T S The authors thank the staff at the WHT for their expert support, and in particular the staff astronomers who conducted the service observations. The William Herschel Telescope is operated on the island of La Palma by the Royal Greenwich Observatory in the Spanish Observatorio del Roque de los Muchachos of the Instituto de AstrofõÂsica de Canarias. The work reported in this paper was partly carried out using facilities and software provided by the UK Starlink Project. We are grateful for Leo Takalo of Tuorla Observatory for sharing his photometry data on BL Lacertae with us, and A. Turnbull for his assistance in the reduction of the V-band images. EAC acknowledges a PPARC studentship and AR thanks the Royal Society for financial support. REFERENCES Antonucci R., 1993, ARA&A, 31, 473 Baldwin J. A., Netzer H., 1978, ApJ, 236, 388 Baldwin J. A., Ferland G., Korista K., Verner D., 1995, ApJ, 455, L119 Barthel P., 1989, ApJ, 336, 606 Bertaud C., Dumortier B., Veron P., Wlerick G., Adam G., Bigay J., Garier R., Dury M., 1969, A&A, 3, 436 Bloom S. D. et al., 1997, ApJ, 490, L145 Bregman J. D. et al., 1990, ApJ, 352, 574 Carini M. 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