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OPTICAL DETECTION OF THE PICTOR A JET AND TIDAL TAIL: EVIDENCE AGAINST AN IC/CMB JET

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Published 2015 July 22 © 2015. The American Astronomical Society. All rights reserved.
, , Citation Eric S. Gentry et al 2015 ApJ 808 92 DOI 10.1088/0004-637X/808/1/92

0004-637X/808/1/92

ABSTRACT

New images of the FR II radio galaxy Pictor A from the Hubble Space Telescope reveal a previously undiscovered tidal tail, as well as a number of jet knots coinciding with a known X-ray and radio jet. The tidal tail is approximately 5'' wide (3 kpc projected), starting 18'' (12 kpc) from the center of Pictor A, and extends more than 90'' (60 kpc). The knots are part of a jet observed to be about 4' (160 kpc) long, extending to a bright hotspot. These images are the first optical detections of this jet, and by extracting knot flux densities through three filters, we set constraints on emission models. While the radio and optical flux densities are usually explained by synchrotron emission, there are several emission mechanisms that might be used to explain the X-ray flux densities. Our data rule out Doppler-boosted inverse Compton scattering as a source of the high-energy emission. Instead, we find that the observed emission can be well described by synchrotron emission from electrons with a low-energy index ($p\sim 2$) that dominates the radio band, while a high-energy index ($p\sim 3$) is needed for the X-ray band and the transition occurs in the optical/infrared band. This model is consistent with a continuous electron injection scenario.

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1. INTRODUCTION

To date, more than 40 extragalactic jets have detections in the IR-UV band, although the majority of these are nearby, low-power FR I jets, where the speeds are slower, and processes and environments are different from those of quasars and FR II radio galaxies. While many FR II quasar jets have been detected in Hubble Space Telescope (HST) images, most are so distant that only a few point-like emission regions are found. Resolving structure in the knots is rare; one example of resolved structure is 3C 273, which has an unusually bright jet in the optical band and is close enough that HST resolves each knot (Marshall et al. 2001; Harris et al. 2006). The proximity of Pictor A and its FR II jet (located at a redshift of z = 0.035) makes it an appealing candidate for resolving small, dim features that are not detectable in more distant quasars. Observing these features would improve our understanding of the physical processes that are active within these jets.

There is currently some uncertainty regarding the primary emission mechanisms that are active within these jets at kiloparsec scales. Observations by the HST have shown that the radio and X-ray spectra often cannot be connected smoothly via a single synchrotron model. This could be explained by a jet with relativistic bulk motion, where the high-energy emission originates from the relativistically boosted inverse Compton scattering of cosmic microwave background photons (IC/CMB; proposed by Tavecchio et al. 2000; Celotti et al. 2001). Boosted IC/CMB emission has the attractive consequence of allowing radio observations to help constrain the conditions and environment of the X-ray-emitting particles; no additional electron populations need to be invoked. When lacking better data, surveys have also assumed boosted IC/CMB emission to constrain the jet geometry (Harris & Krawczynski 2002; Marshall et al. 2005, who tentatively classified Pictor A as a boosted jet). The IC/CMB model also was supported by data from a number of early surveys. A majority of the systems studied by Sambruna et al. (2004) were best explained by an IC/CMB model, and follow-up observations of PKS 1136−135 and 1150+497 by Sambruna et al. (2006) verified the predictions of the IC/CMB model.

Despite this early evidence, the data for a number of these jets are no longer consistent with a boosted IC/CMB model. Meyer et al. (2015) used gamma-ray observations to disprove the boosted IC/CMB model for PKS 0637−572, which had previously been the prototypical example of a boosted IC/CMB jet (Tavecchio et al. 2000; Celotti et al. 2001). Meyer & Georganopoulos (2014) also used gamma-ray observations to rule out a relativistically boosted jet in 3C 273, building on the work of Jester et al. (2007) and Uchiyama et al. (2006). The high-energy emission from PKS 1136−135, one of the jets used by Sambruna et al. (2006) to verify IC/CMB predictions, has since been found to have a high level of polarization which is incompatible with an IC/CMB model (Cara et al. 2013). The data of all of these systems were previously consistent with a boosted IC/CMB model (most notably PKS 0637−572), but better data have ruled out this explanation. Here we contribute evidence against such a model for Pictor A, which was also initially labeled a boosted IC/CMB jet.

Pictor A is an FR II radio galaxy at a redshift of 0.035. (For ${H}_{0}=70.5$ km s−1 Mpc−1, at this redshift 1'' corresponds to about 700 pc.) Pictor A's pencil-like X-ray jet was discovered in Chandra observations by Wilson et al. (2001), extending 1farcm9 from the core, oriented toward the resolved NW hotspot 4farcm2 from the core. The jet is barely visible in radio images due to its low brightness relative to the core and the extended lobes (Perley et al. 1997; Simkin et al. 1999; Marshall et al. 2010). Simkin et al. discovered Hα emission about 5'' from the core along the direction of the jet to the NW hotspot but found no other optical emission from the jet. Hardcastle & Croston (2005) first reported a weakly detected 1 keV X-ray counter-jet extending to the E hotspot; more recent X-ray data of M. J. Hardcastle et al. (2015, in preparation) confirm this detection.

Wilson et al. (2001), on the basis of a boosted IC/CMB model for the X-rays, showed that the magnetic field in the jet would need to be substantially below equipartition, $\sim 2\times {10}^{-6}$ G, assuming that the jet is Doppler boosted with a bulk Lorenz factor, ${\rm{\Gamma }}$ = 2–6 at $\theta \lt 30$° to the line of sight. However, Hardcastle & Croston (2005) argued that the well-constrained steep X-ray photon index favors a synchrotron model for the X-rays, in which case the magnetic field strength and boosting parameters are not well constrained.

Examining Chandra X-ray images of the jet, we found evidence for flares in the jet at 3σ–4.5σ significance (Marshall et al. 2010). The projected size of the jet is over 150 kpc long (4') and about a kiloparsec wide, so finding localized brightness changes on 1 year timescales was surprising. Using the 5 GHz radio flux density, the equipartition magnetic field is ${B}_{\mathrm{eq}}=17\mu {\rm{G}}$, assuming no boosting. If the 1 keV X-rays are due to synchrotron emission, then the corresponding electrons have $\gamma \approx 7\times {10}^{7}$ (for $E=\gamma {m}_{e}{c}^{2}$) and the synchrotron cooling time for those electrons is about 1200 years. While this is comparable to the light-crossing time of the width of the jet (2000 years), these timescales are much longer than the observed 1 year variability timescale. This makes it difficult to explain the jet variability using the size and inferred magnetic field strength of the overall jet. One possible explanation for the variability is that the emission arises from a very small knot inside the jet, perhaps as small as 0farcs002, so HST observations were needed to investigate whether there are features ≲0farcs1 in size. In addition to investigating these variable regions, HST data offered the opportunity to isolate and compare spectral energy distributions (SEDs) of multiple components within the jet, which had previously never been done for Pictor A.

Here we report the first optical detection of Pictor A's jet and its previously unknown tidal tail using the HST Wide Field Camera 3 (WFC3). These data were combined with data from the Chandra X-ray Observatory, as well as the Australia Telescope Compact Array, in order to obtain a multi-wavelength view of this jet.

2. OBSERVATIONS AND DATA REDUCTION

Chandra X-ray data (1 keV) were reduced and provided by M. J. Hardcastle et al. (2015, in preparation), with radio (5 GHz) data from Marshall et al. (2010), with the process further described in M. J. Hardcastle et al. (2015, in preparation). In our published images we also make use of X-ray (1 keV) contours produced from the data used by Marshall et al. (2010), which are a subset of the observations by M. J. Hardcastle et al. (2015, in preparation). The rest of this section will focus on the optical data reduction.

Three images taken with the WFC3 were obtained under the HST Guest Observer program (GO proposal ID 12261). The wideband filters used were: F160W, F814W, and F475W (see Table 1). The F160W image was taken with the infrared detector of WFC3 (WFC3/IR), while the F814W and F475W images were taken with the UV-visible detector (WFC3/UVIS). The raw images were reprocessed using DrizzlePac (see Gonzaga et al. 2012), providing images at 0farcs02 binning for UVIS images and 0farcs07 binning for the IR image. In the IR image, the host galaxy is quite bright and extensive, adding significant background to a large fraction of the image, which requires that it be removed carefully before searching for jet features.

Table 1.  Hubble Observations of the Pictor A Jet

Start Date Filter λa ${\rm{\Delta }}\lambda $ a Exposure
    (nm) (nm) (s)
2011 Feb 25 F160W 1536 268 2708
2011 Feb 25 F814W 802 154 1200
2011 Feb 25 F475W 477 134 1299

Notes.

aPivot wavelength, as defined in the WFC3 handbook (Dressel 2015). aPassband rectangular width, as defined in the WFC3 handbook (Dressel 2015).

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2.1. Galaxy Fitting

The program galfit (Peng et al. 2010) was used to generate a model of the Pictor A host galaxy and also generate uncertainty maps. The generated models consisted of a point-spread function (PSF) core (caused by the central active galactic nucleus), along with two generalized Sérsic profiles to account for the elliptical host galaxy. The PSF was extracted from a nearby bright star, visible to the north of Pictor A, and marked in Figure 1. The Sérsic bulges are described by Sérsic indices n and effective radii re. We found that a positive C0 parameter ("boxiness") was necessary to describe the outer bulge, but the inner bulge could be sufficiently fit with ${C}_{0}=0$.

Figure 1.

Figure 1. Image from the WFC3/IR, using filter F160W. Data were binned to a scale of 0farcs07 and smoothed with a Gaussian with a FWHM of 0farcs1. A grayscale was applied with a logarithmic stretch function. Central core is marked with a green cross. Jet knots HST-32 through HST-112 are labeled, along with the locations of the X-ray flares reported by Marshall et al. (2010) and the star used for a PSF in the galaxy-fitting process. The tidal tail is marked by a tangent arrow from the innermost point at which it is detected. Bad pixel regions have been masked in white, resulting in the ovals within Pictor A.

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In reality we expect the profile to be more complicated, as the tidal tail provides evidence of a recent merger. These galaxy fits were primarily used to remove the large-scale structure of the host galaxy, allowing us to visually identify knots. We do not claim any knot detections within 15'' of the core due to the rapidly varying fit residuals and the crowding of sources associated with the host galaxy. In general, we sought the simplest fit that would still allow for knot identification and accurate flux extraction. The galaxy fits do not provide precise photometry for Pictor A. Results can be seen in Table 2 and Figures 1 and 2. The F814W and F475W images did not require galaxy subtraction for the knot regions to be clearly separated from the bulge light (see Figure 3). Figure 3 features the jet, our primary region of interest.

Figure 2.

Figure 2. Same as Figure 1, but now with a galaxy-subtracted image from WFC3/IR, using filter F160W. After the subtraction, the jet knots and the innermost extent of the tidal tail are more readily visible. The subtraction resulted in strong systematic errors within 15'' of the active nucleus.

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Figure 3.

Figure 3. Overall F160W image (top) from Figure 2, cropped to feature the jet, along with identical regions from the F814W (middle) and F475W (bottom) images. The F160W image has been galaxy-subtracted, while the F814W and F475W images have not. All images have been identically smoothed and have similar logarithmic stretch functions. X-ray contours (left, red) were produced using seven levels, logarithmically spaced between $0.5-12.5$ nJy arcsec−2. Radio contours (right, blue) were also produced using seven logarithmically spaced levels, ranging from $1.25-5$ mJy beam−1(These contour levels begin approximately at the noise level of each observation). Knots are featured in Figures 4 and 5.

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Table 2.  Galaxy Fit Parameters

Filter Sérsic Component ${m}_{\mathrm{core}}$ a ${B}_{\mathrm{sky}}$ b ${m}_{\mathrm{bulge}}$ c nd ree $b/a$ f ${\theta }_{\mathrm{PA}}$ g C0h
      (ADU pix−1)     ('')   (°)  
F160W Outer bulge 17.5 −3.0 16.9 2.3 16.6 0.6 −91.3 0.5
  Inner bulge 17.4 1.6 4.2 0.8 −94.6 0

Notes.

aApparent (ST) magnitude of the PSF model of the core. bSky background, assumed to be uniform across the image. cApparent magnitude of the bulge component. dSérsic index. eEffective (half-light) radius. fRatio of the elliptical Sérsic profile's semi-minor and semi-major axes. gPosition angle of the elliptical Sérsic profiles' semi-major axis, defined to be zero if oriented north–south and increasing as the ellipse is rotated to the east. hThe "diskyness/boxiness" ratio, which is greater than zero for more box-like isophotes.

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2.2. Knot Identification

Using our images (galaxy-subtracted in the case of the F160W image), jet knots were identified visually by looking for features coincident among radio, optical, and X-ray bands. Figure 3 shows the jet's extent in all bands with X-ray and radio contours overlaid.

Four knots were identified, located 32'', 43'', 106'', and 112'' from the core. We label these knots HST-32 through HST-112 based on their location, with filter sub-labels appended as necessary (e.g., HST-32-F160W). These knots are marked in Figures 13. Figures 45 show these knots in greater detail, with X-ray and radio contours overlaid.

Figure 4.

Figure 4. Same as Figure 3, but now cropped to feature knots HST-32 and HST-43. HST-32-F160W is shown in more detail in Figure 6.

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Figure 5.

Figure 5. Same as Figure 4, except now for knots HST-106 and HST-112. HST-112 lies on the edge of the IR detector and is cut off in the F160W band (top).

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Overall, the IR image (F160W) is more sensitive than the UVIS images (F814W and F475W) due to the difference in detector sensitivities and exposure times. Consequently, many of the knots are most clearly detected in the F160W image.

We considered the possibility that what we observe are actually unrelated background sources, rather than jet knots. Figure 3 shows a large number of optical background sources, which could be mistaken as jet emission. By looking for features coincident with observed X-ray flux within the general jet geometry, we reduce the probability of false positives. Marshall et al. (2010) previously ruled out the likelihood that unrelated X-ray background sources could provide flux densities similar to the ones we observe associated with these HST knots. While we are unable to conclusively determine whether this observed emission is produced by the jet, we conclude that the emission is likely from jet knots, given the correlations in locations and shapes between the X-ray, radios and optical features.

The true extent of the optical component of the jet is probably larger than the four knots mentioned in this work. Given the high density of background sources, we have tried to be conservative in what we claim is a knot. Other features are likely to become visible with deeper optical imaging.

2.3. Measuring Jet Knots

Gaussian two-dimensional (2D) fits quantified the location and size of each knot. Figure 6 gives a sample visualization of a Gaussian fit applied to HST-32-F160W, the best detected knot. Results for all knots and filter images are given in Table 3. In cases where the fit was only marginally statistically significant, we listed the fitted flux density, ${S}_{\nu }$, as an upper limit. Fit visualizations (similar to Figure 6) for each knot and band can be found in the work of Gentry (2014, Appendix A), but those visualizations are not necessary for this analysis.

Figure 6.

Figure 6. HST-32-F160W, along with a 2D Gaussian fit. The image has a color scale, inverted in intensity relative to the previous images. Red contours are from the observed optical data; green contours are from the 2D Gaussian fit to the data. The image has been rotated 11° clockwise, so the jet direction is horizontal, going left to right. A foreground star has been masked from the analysis (in white).

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Table 3.  Gaussian Fit Results for Jet Knots

Knot Label Bandpass ${S}_{\nu }$ xa ya sxb syb PAc
    (μ Jy) ('') ('') ('') ('') (°)
HST-32 F160W 2.2 ± 0.9 $32.0\pm .5$ $0.1\pm .1$ $3.3\pm .9$ $0.9\pm .3$ $1.1\pm .2$
  F814W $\lt 0.18$
  F475W $\lt 0.01$
HST-43 F160W 0.4 ± 0.2 $42.7\pm .1$ $0.6\pm .1$ $0.5\pm .2$ $0.3\pm .1$ $-38.1\pm .9$
  F814W $\lt 0.18$
  F475W $\lt 0.11$
HST-106 F160W 0.2 ± 0.1 $106.4\pm .8$ $0.4\pm .1$ $0.4\pm .2$ $0.3\pm .2$ −52 ± 3
  F814W $\lt 0.10$
  F475W $\lt 0.01$
HST-112 F160W 3.8 ± 1.9 $112.1\pm .2$ $0.4\pm .1$ $1.2\pm .4$ $0.6\pm .2$ $-.1\pm .3$
  F814W $2.2\pm .2$ $111.9\pm .1$ $0.36\pm .02$ $0.85\pm .06$ $0.43\pm .03$ $1.2\pm .1$
  F475W $1.2\pm .1$ $112.0\pm .1$ $0.39\pm .01$ $1.19\pm .07$ $0.42\pm .03$ $6.0\pm .1$

Notes.

aPosition of Gaussian centroid relative to the core, measured along (x) or transverse to (y) a line with position angle of $-79^\circ $ (E of N) defining the jet. bFWHMs of the 2D Gaussian fits, along (x) and transverse to (y) the jet. cPosition angle of the 2D Gaussian major axis relative to the direction to the core, defined to be zero when aligned with the direction to the core and increasing when rotated counter-clockwise.

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These Gaussian fits then determined apertures through which we could extract photometric flux densities. While we could have used the fitted flux density, using rectangular apertures allowed us to be consistent in how we extracted the radio and X-ray flux densities. These apertures were defined to be 2'' wide across the jet, and with a length along the jet approximately twice that of the FWHM of the Gaussian fit of the respective knot. (The background was subtracted using an adjacent region of identical size). The location and size of each aperture can be found in Table 4. In the case of HST-112-F160W, the desired aperture extends beyond the edge of the image. Without knowing how many counts we are missing we simply denote the counts observed as a lower limit.

Table 4.  Knot Aperture Regions

Knot Label R.A.a decl.a sx b sy c
  (hh:mm:ss) (dd:mm:ss) ('') ('')
HST-32 5:19:46.686 −45:46:37.35 6 2
HST-43 5:19:45.711 −45:46:34.82 1.7 2
HST-106 5:19:39.732 −45:46:22.80 2 2
HST-112 5:19:39.197 −45:46:21.79 4 2

Notes.

aBox center (J2000). bBox length, along the jet, which is defined to be in the direction −79°E of N. cBox width, transverse to the jet.

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The Gaussian profiles also allowed us to estimate more accurate upper limits for the marginally detected flux densities. The shape of the F160W fit (clearly detected for all knots) was used to create artificial knots of various flux densities, which could be injected into the other filter images. For each knot and each band, there was a critical flux density below which we could not reliably retrieve the artificial knot from the noise. We quote that critical value as our upper limit for the aperture flux density. These are much more conservative upper limits than those suggested by the Gaussian fits, which only considered statistical error. We believe this injection and retrieval process more accurately reflect the systematic errors that dominate our uncertainties.

This approach of injecting artificial 2D knots would not work for setting limits on the radio sources, as the radio data were already collapsed into a one-dimensional (1D) jet profile before we extracted a flux density. To assess the significance of a radio detection, we estimated a background noise level of approximately 1 mJy beam−1 (with a 5 ${\mathrm{arcsec}}^{2}$ beamsize) near the jet (which is significantly higher than the off-source noise level of 40 μJy beam−1). While HST-32 and HST-112 are clear detections at this noise level (the radio contours of Figures 35 begin at this noise floor), knots HST-43 and HST-106 are not clearly detected in the radio data, so we denote their flux densities as upper limits. This introduces uncertainties in the spectral models we will construct in Section 3, but these uncertainties do not affect our final conclusions.

We also considered the possibility of foreground dust extinction affecting these flux densities and have found that it plays a negligible role. Using the work of Schlafly & Finkbeiner (2011) we predict no more than 0.15 mag (15%) of extinction in any of these optical bands (assuming a galactic column density). This is sufficiently small enough to neglect while interpreting our data.

3. MODELING THE KNOT SPECTRA

Using the aperture flux densities of each knot, we tested a number of non-thermal emission models. Three emission mechanisms were plausible: synchrotron radiation from high-energy electrons moving in a magnetic field; synchrotron self-Compton emission, where synchrotron photons are scattered off of high-energy electrons (SSC); and inverse Compton scattering of electrons that boosts photons from the cosmic microwave background to very high energies (IC/CMB; Tavecchio et al. 2000; Celotti et al. 2001). For more details on various models for the physical systems underlying these emission mechanisms, see the review of Harris & Krawczynski (2006). In all models we assume that low frequency flux is provided by synchrotron emission; the label we attach to each model refers to the primary mode of X-ray emission, with radio and optical emission always produced by synchrotron emission. In all of the models discussed below, the SSC emission was significantly smaller than the IC/CMB emission, so we deem SSC emission negligible for the observed knots. The unboosted IC/CMB emission was also too low to be shown on our plots, but we did analyze the amount of boosting that would be required for the IC/CMB emission to match the observed X-ray flux densities.

Table 5.  Aperture Flux Density Results for Jet Knots

Knot Label ${S}_{\nu }$ (Radio) ${S}_{\nu }$(F160W) ${S}_{\nu }$(F814W) ${S}_{\nu }$(F475W) ${S}_{\nu }$(X-ray)a ${\alpha }_{{\rm{X}}-\mathrm{ray}}$ a,b
  (mJy) (μJy) (μJy) (μJy) (nJy)  
HST-32 3.2 $1.98\pm .05$ $\lt 2.0$ $\lt 2.0$ $1.68\pm .07$ $0.96\pm .07$
HST-43 $\lt 0.2$ $.26\pm .01$ $\lt 0.4$ $\lt 0.2$ $0.14\pm .06$ c
HST-106 $\lt 0.4$ $.22\pm .01$ $\lt 0.4$ $\lt 0.3$ $0.39\pm .03$ $1.12\pm .15$
HST-112 1.2 $\gt 6.98$ d $2.47\pm .06$ $1.56\pm .04$ $0.27\pm .03$ $0.74\pm .23$

Notes.

aFrom the data of M. J. Hardcastle et al. (2015, in preparation). bSpectral index, α, such that ${S}_{\nu }\propto {\nu }^{-\alpha }$. cInsufficient counts to extract a spectral index; $\alpha =2$ assumed for flux density extraction. dAperture extended beyond the edge of the detector.

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In order to construct these models, we first assumed the radio and optical flux densities to be from synchrotron radiation. We need the low-energy spectral slope, but since we only have radio observations in one band, we need to use optical data to constrain the low-energy spectral slope. From the radio-optical spectral slope, α (such that ${S}_{\nu }\propto {\nu }^{-\alpha }$), we can then determine the energy index, $p=2\alpha +1$, of the emitting electrons (assumed to have a power-law distribution of energies ${N}_{e}(E)\propto {E}^{-p}$). Using those values for p (typically $p\sim 2$), the observed radio flux density allows us to determine the magnetic field strength that would require the minimal energy in the jet, ${B}_{\mathrm{me}}$, using the equations from Worrall (2009). The minimum energy system is approximately equivalent to a system in equipartition. Table 6 lists the results for p and ${B}_{\mathrm{me}}$ for each knot. It should be noted that Bme is only accurate to within a factor of 2 or so, given the assumptions that could be made using the approach of Worrall (2009).

Table 6.  Synchrotron Model Resultsa

Knot Label plow ${\alpha }_{\mathrm{low}}$ ${\gamma }_{\mathrm{break}}$ phigh ${\alpha }_{\mathrm{high}}$ Bme ${\delta }_{\mathrm{req}}$ tbreak
      (106)     (μG)   (years)
HST-32 2.25 0.62 39 2.98 0.99 33 4·102 600
HST-43 <2.25 <0.62 26 3.15 1.08 49 <3·103 400
HST-106 <2.45 <0.72 21 3.24 1.12 88 <2·103 100
HST-112 1.90 0.45 21 2.48 0.74 29 3·103 1400

Note.

aSee Section 3 for the definitions of these parameters of the synchrotron model fits to each knot.

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The radio-optical spectral indices differ significantly from the measured X-ray spectral indices—there must be a spectral break between the optical and X-ray frequencies, a softening of the spectrum. The most likely option is that there is a break in the electron energy distribution itself. (For a continuous, but kinked distribution we will use the label broken; for a distribution with a jump discontinuity we will use the label multiple populations.) A break in electron energies is predicted by the continuous injection model: if electrons are injected with a single power law of energies, the highest energy electrons would experience the greatest radiative losses, resulting in a steady-state distribution composed of a broken power law, with ${p}_{\mathrm{high}}\approx {p}_{\mathrm{low}}+1$ (Longair 2011, Section 16.3.1). This is precisely our situation, if we assume all of the observed emission is coming from synchrotron processes. We infer ${p}_{\mathrm{low}}\sim 2$ for the lower-energy electrons responsible for the radio-optical emission, and ${p}_{\mathrm{high}}\sim 3$ for the higher-energy electrons responsible for the X-ray emission.

This spectral break can also be used to gain information on the age of a knot. For an electron with a Lorentz factor γ, in a magnetic field of strength B we expect the electron to have a characteristic synchrotron cooling timescale of

Equation (1)

(adapted from Longair 2011). Evaluated at the break energy, ${\gamma }_{\mathrm{break}}{m}_{e}{c}^{2}$, we get a characteristic timescale tbreak. For the continuous injection model, this characteristic timescale is expected to be equal to how long an injection event has been continuously occurring for a particular knot. For a model with multiple electron populations, this timescale corresponds to the maximum time that could have elapsed since the low-energy population was last accelerated. (The high-energy population must have been accelerated even more recently, given the shorter timescales at higher γ.)

For each knot we constructed an SED consisting of synchrotron emission from a broken power law of electron energies. The low-energy indices were set by the radio and optical flux densities, while the high-energy spectral indices were set by the observed X-ray spectral indices. If possible, a continuous but kinked electron energy distribution was used. If that was not possible (i.e., HST-112), we used two synchrotron spectra with differing normalization (a multiple population model, introducing a discontinuity in the spectrum). The results for each knot can be seen in Table 6 and Figures 710.

Figure 7.

Figure 7. SED model for HST-32. Flux densities are listed in Table 5 and model components are listed in Table 6.

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Figure 8.

Figure 8. Same as Figure 7, but for HST-43.

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Figure 9.

Figure 9. Same as Figure 7, but for HST-106.

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Figure 10.

Figure 10. Same as Figure 7, but for HST-112. A single broken power law was insufficient; a second power law (with different slope and normalization) was needed.

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These results can be contrasted with models that  are used to explain the X-ray emission through IC/CMB emission. Either through bulk Doppler boosting or lowered magnetic field strengths, IC/CMB X-ray emission can be boosted relative to the lower-energy synchrotron emission. In the case of bulk Doppler boosting, we can use the X-ray flux density predicted by an unboosted model to infer the required Doppler factor: ${\delta }_{\mathrm{req}}^{1+\alpha }={S}_{\nu ,\mathrm{observed}}{/S}_{\nu ,\mathrm{predicted}}$, where $\delta ={({\rm{\Gamma }}[1-\beta \mathrm{cos}\theta ])}^{-1}$ for a bulk Lorenz factor Γ and an angle θ between the jet and the line of sight (Worrall & Birkinshaw 2006). This approach for X-ray emission only works for values of $\delta \lt {10}^{3}$; beyond that limit, assumptions in the scaling break down. All of our models are close to or beyond this limit, indicating that unphysical levels of Doppler boosting would be required. A similar approach can be done for lowered magnetic field strengths, following the scaling relation: ${({B}_{\mathrm{req}}{/B}_{\mathrm{me}})}^{-(1+\alpha )}={S}_{\nu ,\mathrm{observed}}{/S}_{\nu ,\mathrm{predicted}}$, with the total energy (in the case of lowered magnetic field strengths) following the relation: ${E}_{\mathrm{req}}{/E}_{\mathrm{me}}\approx {({B}_{\mathrm{req}}{/B}_{\mathrm{me}})}^{-(\alpha +1)}$. These scaling relations would require magnetic field strengths around 103 below equipartition, with an energy roughly ${10}^{4.5}$ times greater than the minimal energy. We consider such a configuration unphysical.

Even if the amount of IC/CMB X-ray emission could be significantly boosted, we would expect that the spectral index would be identical to that of the radio-optical band, whereas our data rule out this possibility. One might argue that in addition to unphysical amounts of boosting required, there might also be a break in the electron energy distribution between the IC/CMB emitting electrons (lower energy) and the synchrotron emitting electrons (higher energy), but that would imply a hardening of the energy distribution (${p}_{\mathrm{high}}\approx {p}_{\mathrm{low}}-1$). Such a configuration would be unusual—the opposite of the softening predicted by the continuous particle injection model—and is difficult to explain (The work of Sambruna et al. 2004 would have tentatively labeled Pictor A's jet a synchrotron emitter on the grounds of our spectral data as well; see their Figure 4). Between the unphysical levels of boosting and the unexplained hardening of the electron energy spectrum required for a boosted IC/CMB model, we rule out boosted IC/CMB as the primary emission mechanism for the X-ray component of Pictor A's jet.

4. TIDAL TAIL

A tidal tail, clearly visible in Figure 2, was an unanticipated find. The start of this tail is coincident with a radio source 18'' (12 kpc projected distance) north of Pictor A, sweeping to the west along a path 90'' (60 kpc) long and ending 90'' (60 kpc) from the center of Pictor A (Many galaxy subtraction variants were attempted, but none showed the tail closer than the radio source 18'' from the center of Pictor A). At its closest point to Pictor A, the tidal tail is approximately 3'' (2 kpc) wide, becoming at least 7'' (5 kpc) wide at its farthest point from Pictor A. The tail was only detected in our deepest image (the F160W data), but we expect deeper observations to reveal it in other optical bands as well.

The classification scheme of Bridge et al. (2010) suggests that this long tidal tail is well into the first passage of a merger. Dynamical estimates predict such a tail would take a few hundred million years to form, and would last another few hundred million years. This is certainly long enough for the formation of a jet at least 160 kpc long, suggesting a possible connection between Pictor A's large galactic-scale jet and a recent merger with the coincident radio source.

5. DISCUSSION AND CONCLUSIONS

Our data contain the first optical detection of Pictor A's jet, but we only clearly detect it at at most a few knots, rather than the entire length of the jet. Although these data are sparse, they allow us to construct physical models of the jet emission at multiple points along its extent.

The first major result was that these optical data give radio-optical spectral slopes, α, which differ significantly from the X-ray spectral indices measured by M. J. Hardcastle et al. (2015, in preparation). This discrepancy rules out a single, unbroken synchrotron spectrum. It also makes the boosted IC/CMB hypothesis very unlikely.

Our optical data show that two components of synchrotron emission are much more consistent with observations. The break between these components would result in a softening of the electron energy distribution, around $\gamma \sim {10}^{6}$. Such a softening would be a natural consequence of a continuous injection model, where electrons are constantly being accelerated to an initial power law of energies, but radiative losses result in a steady-state broken power law of energies. The injection timescales implied by these spectral breaks are quite short, in the hundreds of years, while the light-crossing timescale is at least 1000 years for each knot. We caution that deeper optical observations could rule out this single population synchrotron model with a cooling break, at which point this spectral break timescale would no longer give the duration of an ongoing injection event. If the single population synchrotron model were ruled out, a multiple population model might be necessary, which was the case for knot HST-112.

Ruling out a boosted IC/CMB model is a key element to understanding the emission of Pictor A's jet. The work of Hardcastle & Croston (2005) provided independent evidence against an IC/CMB model for Pictor A's jet emission, which has recently been confirmed by M. J. Hardcastle et al. (2015, in preparation). Our work, providing optical data, also reaches the conclusion that a boosted IC/CMB model for Pictor A's jet emission does not match observed data.

Still unconfirmed is the possibility of unresolved regions predicted by Marshall et al. (2010) in order to explain X-ray variability data. Unfortunately, our images were insufficient for identifying unresolved regions definitively associated with knot emission. All currently detected optical knots are resolved on scales similar to the width of the X-ray jet emission. Deeper observations might uncover the unresolved regions hypothesized by Marshall et al. (2010).

Deeper observations would also help constrain our SEDs. While most of the UVIS knots are non-detections (HST-32 through HST-106, in the F814W and F475W images), our detection of UVIS flux from HST-112 allows us to put stronger constraints on emission models. Deeper observations would help us understand if the other SEDs are simply from a single population broken electron power law (the simplest explanation) or from two distinct electron populations (such as HST-112). If the underlying electron distributions are broken, but continuous (as expected for a single population continuous injection model), determining the break energy would help constrain the timescales of particle acceleration events along the length of the jet. If instead the electrons are from multiple populations (a broken and discontinuous distribution), the high-energy population might also help us better understand how regions of Pictor A's jet could flare on short timescales, while emission from the majority of the jet remained stable. Better data and stronger limits would help us answer these questions.

Finally, we have noted that our data contain the first evidence for a tidal tail near Pictor A, but it has only been detected in the F160W band. Deeper observations in visible bands would allow the study of this tidal tail and its role in the dynamics of Pictor A.

We thank the referee for useful feedback that helped improve the quality of this work. Support for this work was provided by the National Aeronautics and Space Administration through the Smithsonian Astrophysical Observatory contract SV3-73016 to MIT for Support of the Chandra X-Ray Center, which is operated by the Smithsonian Astrophysical Observatory for and on behalf of the National Aeronautics Space Administration under contract NAS8-03060. The Centre for All-sky Astrophysics (CAASTRO) is an Australian Research Council Centre of Excellence, funded by grant CE110001020.

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10.1088/0004-637X/808/1/92