X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.
-
Upload
drusilla-peters -
Category
Documents
-
view
214 -
download
0
Transcript of X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.
![Page 1: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/1.jpg)
X-ray Emission from Massive Stars
David CohenDept. of Physics & Astronomy
Swarthmore College
![Page 2: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/2.jpg)
X-ray Emission from Massive Stars
David CohenDept. of Physics & Astronomy
Swarthmore College
The work discussed here is with collaborators: Stan Owocki and Rich Townsend (U. Delaware), Asif ud-Doula (U. Delaware and Swarthmore), Maurice Leutenegger (Columbia), & Marc Gagne (West Chester)
Students: Roban Kramer (’03), Kevin Grizzard (St. John’s College, ’06), Casey Reed (’05), Stephanie Tonnesen (’03), Steve St. Vincent (’07)
![Page 3: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/3.jpg)
X-ray Emission from Massive Stars
O and early B stars: M > 8Msun; Teff > 20,000 K; term “massive stars” used interchangeably with “hot
stars”
![Page 4: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/4.jpg)
OUTLINE
1. Introduction
a. Solar x-ray emission…vs. massive star x-ray emission
b. Massive stars and their winds
2. The wind-shock paradigm
3. Chandra spectroscopy of Puppis and Orionis: wind shocks
4. Chandra spectroscopy of 1 Orionis C: signatures of a magnetized wind
5. Conclusions
![Page 5: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/5.jpg)
OUTLINE
1. Introduction
a. Solar x-ray emission…vs. massive star x-ray emission
b. Massive stars and their winds
2. The wind-shock paradigm
3. Chandra spectroscopy of Puppis and Orionis: wind shocks
4. Chandra spectroscopy of 1 Orionis C: signatures of a magnetized wind
5. Conclusions
![Page 6: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/6.jpg)
X-rays from the Sun
Remember - for thermal radiation - the frequency of light (the energy of each photon) is proportional to the temperature of the emitter:
Human body = 300 K 10 microns, or 100,000 Å (infrared)
Sun, light bulb filament = 6000 K 5000 Å (visible, yellow)
Hot star’s surface = 40,000 K 750 Å (far ultraviolet)
Really hot plasma = 5,000,000 K 6 Å (X-ray)
*don’t forget that thermal emitters give off photons with a range of wavelengths; those listed above represent the peak of the distribution or the characteristic wavelength.
Note: an Angstrom unit (Å) is equivalent to 0.1 nanometers (nm)
![Page 7: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/7.jpg)
The Sun is a strong source of X-rays(10-5 of the total energy it emits)
It must have ~million degree plasma on it
The hot plasma is generally confined in magnetic structures above – but near - the surface of the Sun.
![Page 8: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/8.jpg)
Visible solar spectrum: continuum, from surface
X-ray/EUV solar spectrum: emission lines from hot, thin
plasma above the surface
![Page 9: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/9.jpg)
We can use spectroscopy - in our study of massive stars (where spatial structure can’t be imaged) - to diagnose plasma kinematics
(via Doppler-broadened line shapes) and plasma location with respect to the stellar surface (via UV-sensitive line ratios)
X-ray/EUV solar spectrum: emission lines from hot, thin
plasma above the surface
Theme: spectroscopy as a proxy for imaging.
![Page 10: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/10.jpg)
This hot plasma is related to magnetic fields on the Sun: confinement, spatial structure, conduits of
energy flow, heating
![Page 11: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/11.jpg)
More magnetic structures on the Sun:
x-ray image from TRACE
![Page 12: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/12.jpg)
The Sun’s magnetic dynamo requires rotation + convection to regenerate and
amplify the magnetic field
Sunspots over several days: rotation
Note granulation, from convection
![Page 13: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/13.jpg)
TRACE composite
![Page 14: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/14.jpg)
OK, so the Sun emits x-rays - quite beautifully - and they’re associated with its magnetic
activity, related to convection and rotation…
But what of hot, massive stars?
![Page 15: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/15.jpg)
OUTLINE
1. Introduction
a. Solar x-ray emission…vs. massive star x-ray emission
b. Massive stars and their winds
2. The wind-shock paradigm
3. Chandra spectroscopy of Puppis and Orionis: wind shocks
4. Chandra spectroscopy of 1 Orionis C: signatures of a magnetized wind
5. Conclusions
![Page 16: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/16.jpg)
Hot, Massive Stars
Stars range in (surface) temperature from about 3500 K to 50,000 K
Their temperatures correlate with mass and luminosity (massive stars are hot and very bright): a 50,000 K star has a million times the luminosity of the Sun (Tsun = 6000 K)
Stars hotter than about 8000 K do not have convective outer layers - no convection - no dynamo - no hot corona…
…no X-rays?
![Page 17: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/17.jpg)
Our Sun is a somewhat wimpy star…
Puppis:
42,000 K vs. 6000 K
106 Lsun
50 Msun
![Page 18: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/18.jpg)
Optical image of the constellation Orion
Note: many of the brightest stars are blue (i.e. hot, also massive)
![Page 19: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/19.jpg)
In 1979 the Einstein Observatory made the surprising discovery that many O stars (the hottest, most massive stars) are strong X-
ray sources
Note: X-rays don’t penetrate the Earth’s atmosphere, so X-ray telescopes must be in space
Chandra X-ray image of the Orion star forming region1 Ori C: a 45,000 K
O-type star
![Page 20: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/20.jpg)
So, we’ve got a good scientific mystery: how do massive stars make X-rays?
Could we have been wrong about the lack of a magnetic dynamo - might massive star X-rays be similar to solar X-rays?
Before we address this directly, we need to know about one very important property of massive stars (that might provide an alternate explanation for their X-rays)…
![Page 21: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/21.jpg)
Massive stars have very strong radiation-driven stellar winds
Hubble Space Telescope image of Car; an extreme example of
a hot-star wind
What is a stellar wind?
It is the steady loss of mass from the surface of a star into interstellar space
The Sun has a wind (the “solar wind”) but the winds of hot stars can be a billion times as strong as the Sun’s
![Page 22: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/22.jpg)
How do we know these hot-star winds exist?
Spectroscopy!
blue wavelength red
Absorption comes exclusively from region F - it’s all blue-sifted
You can read the terminal
velocity (in km/s) right off the blue edge of the absorption line
rest wavelength(s) – this N V line is a doublet
![Page 23: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/23.jpg)
Why do hot star winds exist?
The solar wind is actually driven by the gas pressure of the hot corona
But hot-star winds are driven by radiation pressure
Remember, photons have momentum as well as energy:
pE
chc
h
And Newton tells us that a change in momentum is a force:
F mamdv
dtdp
dt
![Page 24: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/24.jpg)
So, if matter (an atom) absorbs light (a photon) momentum is transferred to the matter
Light can force atoms to move!
re, the radius of an electron, giving a cross section, T (cm2)
The flux of light, F (ergs s-1 cm-2)
The rate at which momentum is absorbed by the electron
dp
dtFc
LT
4cR2
arad LT
4cR2
By replacing the cross section of a single electron with the opacity (cm2 g-1), the combined cross section of a gram of plasma, we get the acceleration due to radiation
![Page 25: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/25.jpg)
For a (very luminous) hot star, this can compete with gravity…but note the 1/R2 dependence, if arad > agrav, a star would blow itself completely apart.
And free electron opacity, and the associated Thompson scattering, can be significantly augmented by absorption of photons in spectral lines – atoms act like a resonance chamber for electrons: a bound electron can be ‘driven’ much more efficiently by light than a free one can (i.e. it has a much larger cross section), but it can only be driven by light with a very specific frequency.
![Page 26: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/26.jpg)
Radiation driving in spectral lines not only boosts the radiation force, it also solves the problem of the star potentially blowing itself apart:
As the radiation-driven material starts to move off the surface of the star, it is Doppler-shifted, making a previously narrow line broader, and increasing its ability to absorb light.
0
cont.
Optically thick line – from stationary plasma (left); moving plasma (right) broadens the line and
increases the overall opacity.
![Page 27: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/27.jpg)
The Doppler desaturation of optically thick (opaque) lines allows a hot-star wind to bootstrap itself into existence!
And causes the radiation force to deviate from strictly 1/R2 behavior: the radiation force on lines can be less than gravity inside the star but more than gravity above the star’s surface.
![Page 28: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/28.jpg)
OUTLINE
1. Introduction
a. Solar x-ray emission…vs. massive star x-ray emission
b. Massive stars and their winds
2. The wind-shock paradigm
3. Chandra spectroscopy of Puppis and Orionis: wind shocks
4. Chandra spectroscopy of 1 Orionis C: signatures of a magnetized wind
5. Conclusions
![Page 29: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/29.jpg)
X-rays from shock-heating in line-driven winds
The Doppler desaturation that’s so helpful in driving a flow via momentum transfer in spectral lines is inherently unstable
The line-driven instability (LDI) arises when a parcel of wind material is accelerated above the local flow speed, which moves it out of the “Doppler shadow” of the material behind it, exposing it to more photospheric radiation, and accelerating it further…
![Page 30: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/30.jpg)
Numerical modeling of the hydrodynamics show lots of structure: turbulence, shock waves, collisions between “clouds”
This chaotic behavior is predicted to produce X-rays through shock-heating of some small fraction of the wind.
![Page 31: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/31.jpg)
A snapshot at a single time from the same simulation. Note the discontinuities in velocity. These are shock fronts, compressing and
heating the wind, producing x-rays.
There are dense inter-shock regions, though, in which cold material provides a source of photoelectric absorption
![Page 32: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/32.jpg)
Even in these instability shock models, most of the wind is cold and is a source of x-ray continuum opacity - x-rays emitted by the shock-heated gas can be absorbed by the
cold gas in the rest of the wind
Keep this in mind, because it will allow us to learn things about the physical properties of
a shocked wind via spectroscopy
![Page 33: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/33.jpg)
X-ray line profiles can provide the most direct observational constraints on the
x-ray production mechanism in hot stars
Wind-shocks : broad lines
Magnetic dynamo : narrow lines
The Doppler effect will make the x-ray emission lines in the wind-shock scenario broad, compared to
the x-ray emission lines expected in the coronal/dynamo (solar-like) scenario
![Page 34: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/34.jpg)
OUTLINE
1. Introduction
a. Solar x-ray emission…vs. massive star x-ray emission
b. Massive stars and their winds
2. The wind-shock paradigm
3. Chandra spectroscopy of Puppis and Orionis: wind shocks
4. Chandra spectroscopy of 1 Orionis C: signatures of a magnetized wind
5. Conclusions
![Page 35: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/35.jpg)
So, this wind-shock model - based on the line-force instability - is a plausible alternative to the
idea that hot star x-rays are produced by a magnetic dynamo
This basic conflict is easily resolved if we can measure the x-ray spectrum of a hot star at high
enough resolution…
In 1999 this became possible with the
launch of the Chandra X-ray Observatory
![Page 36: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/36.jpg)
Now, for some data
![Page 37: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/37.jpg)
Pup(O4 I)
10 Å 20 Å
N V
O VIIO VIII
Ne XSi XIV
Fe XVII
Ne IX
Mg XII
![Page 38: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/38.jpg)
Focus in on a characteristic portion of the spectrum
Ne X Ne IX Fe XVII
Pup
(O4 I)
12 Å 15 Å
Capella - a cooler star: coronal/dynamo source
![Page 39: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/39.jpg)
Differences in the line shapes become apparent when we look at a single line (here Ne X Ly)
Pup
(O4 I)
Capella (G2 III)
The x-ray emission lines in the hot star Pup are broad -- the wind shock scenario is looking good!
But note, the line isn’t just broad, it’s also blueshifted and asymmetric…
lab/rest wavelength
![Page 40: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/40.jpg)
We can go beyond simply wind-shock vs. coronal:
We can use the line profile shapes to learn about the velocity distribution of the shock-heated gas and even its spatial distribution within the wind, as well as learning something about the amount of cold wind absorption (and thus the amount of cold wind).
![Page 41: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/41.jpg)
What Line Profiles Can Tell Us
The wavelength of an emitted photon is proportional to the line-of-sight velocity:
Line shape maps emission at each velocity/wavelength interval
Continuum absorption by the cold stellar wind affects the line shape
Correlation between line-of-sight velocity and absorption optical depth will cause asymmetries in emission lines
The shapes of lines, if they’re broad, tells us about the distribution and velocity of the hot plasma in the wind -- maybe discriminate among specific
wind shock models/mechanisms
![Page 42: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/42.jpg)
We will now build up a physical – but flexible – empirical x-ray emission line profile model:
Accounting for the kinematics of the emitting plasma (and the associated Doppler shifting/broadening);
Radiation transport (attenuation of the line photons via bound-free absorption in the cold wind component).
Note that our line-profile model, while physical, is agnostic regarding the heating mechanism.
![Page 43: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/43.jpg)
Emission Profiles from a Spherically Symmetric, Expanding Medium
A uniform shell gives a
rectangular profile.
A spherically-symmetric, x-ray emitting wind can be built up
from a series of concentric shells.
Occultation by the star removes red photons, making
the profile asymmetric
![Page 44: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/44.jpg)
Continuum Absorption Acts Like Occultation
Red photons are preferentially absorbed, making the line asymmetric: The peak is shifted to the
blue, and the red wing becomes much less steep.
wavelength
redblue
Contours of constant optical depth (observer is on the left)
![Page 45: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/45.jpg)
The model has four parameters:
: v(r) (1 R /r)
Ro,q : j 2r q
: (p0;z) dz'
r'2 (11
r')z
for r>Ro
The line profile is calculated from:
Increasing Ro makes lines
broader; increasing * makes them more blueshifted and skewed.
Ro=1.5
Ro=3
Ro=10
=1,2,4
where
M
4Rv
L 8 2 je R
1
1 r2drd
![Page 46: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/46.jpg)
Line profiles change in characteristic ways with * and Ro, becoming broader and more skewed with increasing * and broader and more flat-topped with increasing Ro.
A wide variety of wind-shock properties can be
modeled
Ro=1.5
Ro=3
Ro=10
=1,2,4
![Page 47: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/47.jpg)
In addition to the wind-shock model,
our empirical line-profile model can also describe a corona
With most of the emission concentrated near the photosphere and with very little acceleration, the resulting line profiles are very narrow.
![Page 48: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/48.jpg)
We fit all the unblended strong lines in the Chandra spectrum of Pup: all the fits are
statistically good
Ne X
12.13 ÅFe XVII
15.01 ÅFe XVII
16.78 Å
Fe XVII 17.05 Å
O VIII 18.97 Å
N VII 24.78 Å
![Page 49: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/49.jpg)
We place uncertainties on the derived model parameters
Here we show the best-fit model to the O VIII line and two models that are marginally (at the 95% limit) consistent with the data; they
are the models with the highest and lowest * values possible.
lowest * best * highest *
![Page 50: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/50.jpg)
Lines are well fit by our three parameter model: Pup’s x-ray lines are consistent with a spatially distributed, spherically symmetric, radially accelerating wind scenario, with reasonable parameters:
*~1 :4 to 15 times less than predicted
Ro~1.5
q~0
But, the level of wind absorption is significantly below what’s expected.
And, there’s no significant wavelength dependence of the optical depth (or any parameters).
![Page 51: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/51.jpg)
The results for Pup were published several years ago, with Roban Kramer (Swarthmore 2003) as the lead author.
However, it’s generally been considered that other massive stars’ x-ray spectra were not consistent with the wind-shock scenario.
Much of the work shown on the next few slides – on Ori – was done by Kevin Grizzard (St. John’s College 2006)
![Page 52: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/52.jpg)
Here’s another way of looking at the situation:
There are claims in the literature that the emission lines of most massive stars can be fit by Gaussian profiles.
We fit strong lines in the Chandra spectra of Ori with unshifted Gaussians (top), shifted Gaussians (center), and the wind profile model (bottom).
94%
73%
54%
Rejection probabilities are shown on the right of each panel.
![Page 53: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/53.jpg)
Fit results for Ori summarized (to appear in Monthly Notices of the R.A.S., 2006)
*The wind profile model provides statistically good fits to all the lines. The onset radii (left) are exactly what’s expected from
the standard wind-shock picture. There is evidence for attenuation by the cold wind (right), but at levels nearly 10 times lower than expected. This is the same result that we
found for Pup.
![Page 54: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/54.jpg)
Ro of several tenths to one stellar radius is expected based on numerical simulations of the line-force instability (self-excited on the left; sound
wave perturbations at the base of the wind on the right)
This is consistent with the results of the He-like f/i ratio analysis
![Page 55: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/55.jpg)
So…what’s going on with the much lower wind optical depths?
The atomic cross sections are quite well known.
Could the mass-loss rates of massive stars be overestimated? By an order of magnitude? There would be very serious evolutionary implications (for, e.g., supernovae and chemical enrichment of galaxies).
![Page 56: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/56.jpg)
There are, in fact, other recent papers that show several independent lines of evidence that wind mass-loss rates are lower than previously thought.
Some of these rely on the insight that clumping will cause density-squared diagnostics to overestimate mass-loss rates.
Density-squared processes – H-alpha emission (driven by recombination) and radio free-free emission – are commonly used to determine wind mass-loss rates.
Bouret, Lanz, & Hillier (2005): detailed fits to UV spectra;Puls et al. (2006): H-alpha and radio free-free excess;Fullerton, Massa, & Prinja (2006): FUSE and Copernicus P V absorption line fitting
![Page 57: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/57.jpg)
12 X 1=1 12 X 1=1
12 X 1=1 12 X 1=1
emissivity, j = n2 X Vol
The effect of clumping on density-squared emission
j = 4
42 X 1=16
02 X 1=0
02 X 1=0
02 X 1=0
j = 16
![Page 58: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/58.jpg)
Clumping’s effect on density-squared emission is scale-free (only the density contrast between clumps and the inter-clump medium matters).
However, we have begun to investigate a separate effect – porosity – the ability of photons to more easily escape through low-density inter-clump channels.
![Page 59: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/59.jpg)
We have discovered that the key parameter for describing the reduction in effective opacity due to porosity is the ratio of the clump size scale to the volume filling factor.
We dub this quantity the porosity length, h.
Winds with porosity length increasing to the right
![Page 60: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/60.jpg)
It turns out that line profiles (left) are not significantly affected until the porosity length is comparable to the stellar radius (unity, in the unitless formulation of these slides).
This degree of porosity is not expected from the line-driven instability. The clumping in 2-D simulations (right) is on quite small scales.
![Page 61: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/61.jpg)
Note: these clumps are spherical.
The line-driven instability might be expected to compress clumps in the radial direction: pancakes, oriented parallel to the star’s surface. We’ve started working on models with
non-isotropic/oblate clumps: the Venetian-blind model.
![Page 62: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/62.jpg)
There’s one more powerful x-ray spectral diagnostic that can provide useful information to test the wind-shock scenario:
Certain x-ray line ratios provide information about the location of the x-ray emitting plasma
Distance from the star via the line ratio’s sensitivity to the local UV radiation field
![Page 63: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/63.jpg)
g.s. 1s2 1S
1s2s 3S1s2p 3P
1s2p 1P
resonance (r)
intercombination (i)forbidden (f)
10-20 eV
1-2 keV
Helium-like ions (e.g. O+6, Ne+8, Mg+10, Si+12, S+14) – schematic energy level diagram
![Page 64: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/64.jpg)
The upper level of the forbidden line is very long lived – metastable (the transition is dipole-forbidden)
g.s. 1s2 1S
1s2s 3S1s2p 3P
1s2p 1P
resonance (r)
intercombination (i)forbidden (f)
10-20 eV
1-2 keV
![Page 65: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/65.jpg)
1s2s 3S
1s2p 3P1s2p 1P
resonance (r)
intercombination (i)forbidden (f)
g.s. 1s2s 1S
While an electron is sitting in the metastable 3S level, an ultraviolet photon from the star’s photosphere can excite it to the 3P level – this decreases the intensity of the forbidden line
and increases the intensity of the intercombination line.
UV
![Page 66: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/66.jpg)
1s2s 3S
1s2p 3P1s2p 1P
resonance (r)
intercombination (i)forbidden (f)
g.s. 1s2s 1S
The f/i ratio is thus a diagnostic of the strength of the local UV radiation field.
UV
![Page 67: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/67.jpg)
1s2s 3S
1s2p 3P1s2p 1P
resonance (r)
intercombination (i)forbidden (f)
g.s. 1s2s 1S
If you know the UV intensity emitted from the star’s surface, it thus becomes a diagnostic of the distance that the x-ray
emitting plasma is from the star’s surface.
UV
![Page 68: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/68.jpg)
Si XIII line complex in the Chandra spectrum of a massive star where the local UV mean intensity is not strong enough to affect
the forbidden-to-intercombination ratio.
r i f
![Page 69: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/69.jpg)
r i f
Si XIII line complex in the Chandra spectrum of a massive star where the local UV mean intensity is strong enough to affect the
forbidden-to-intercombination ratio.
Here the f/i ratio is reduced, due the effects of UV photoexcitation… this occurs because the x-ray emitting plasma is relatively close to the photosphere.
![Page 70: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/70.jpg)
We have fit line profile models simultaneously to the f-i-r complexes in four hot stars – and get consistent fits: Hot plasma smoothly distributed throughout the wind, above roughly 1.5 Rstar –
•The f/i line ratios are consistent with this spatial distribution
•The line profile shapes are also consistent with this distribution (as already was shown for single, unblended lines)
![Page 71: X-ray Emission from Massive Stars David Cohen Dept. of Physics & Astronomy Swarthmore College.](https://reader030.fdocuments.us/reader030/viewer/2022032805/56649eec5503460f94bfd73e/html5/thumbnails/71.jpg)
Conclusions for most massive stars: normal O-type supergiants
Spherically symmetric, standard wind-shock scenario describes the Chandra data for Pup and Ori (and, it looks like, most other massive stars too) – x-ray line profiles and line ratios are consistent with the expected distribution of hot plasma
There’s evidence for attenuation by the cold wind component, but the level of continuum absorption in the wind must be reduced from expected values by factors of ~10 (mass-loss rate reduction? some porosity?)