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Texas Symposium, Melbourne December 14th 2006 Theoretical Properties of Ly Cooling Radiation’ Mark Dijkstra (CfA) Collaborators: Z. Haiman, M.Spaans & A. Lidz

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Page 1: Texas Symposium, MelbourneDecember 14th 2006 Theoretical Properties of Ly  Cooling Radiation’ Mark Dijkstra (CfA) Collaborators: Z. Haiman, M.Spaans &

Texas Symposium, MelbourneDecember 14th 2006

Theoretical Properties of Ly Cooling Radiation’Mark Dijkstra (CfA)

Collaborators: Z. Haiman, M.Spaans & A. Lidz

Page 2: Texas Symposium, MelbourneDecember 14th 2006 Theoretical Properties of Ly  Cooling Radiation’ Mark Dijkstra (CfA) Collaborators: Z. Haiman, M.Spaans &

Texas Symposium, MelbourneDecember 14th 2006

‘Theoretical Properties of Ly Cooling Radiation’Mark Dijkstra (CfA)

Collaborators: Z. Haiman & M.Spaans

.

motivation

Page 3: Texas Symposium, MelbourneDecember 14th 2006 Theoretical Properties of Ly  Cooling Radiation’ Mark Dijkstra (CfA) Collaborators: Z. Haiman, M.Spaans &

Texas Symposium, MelbourneDecember 14th 2006

‘Theoretical Properties of Ly Cooling Radiation’Mark Dijkstra (CfA)

Collaborators: Z. Haiman, M.Spaans & Lidz

Outline of talk

• Gas cooling & Ly emission• Observable properties of Ly cooling emission (DHS 06a,b)

• Observable properties of continuum cooling radiation (D, submitted to MNRAS)

Page 4: Texas Symposium, MelbourneDecember 14th 2006 Theoretical Properties of Ly  Cooling Radiation’ Mark Dijkstra (CfA) Collaborators: Z. Haiman, M.Spaans &

Texas Symposium, MelbourneDecember 14th 2006

Gas cooling

Primordial Cooling curve

T < 6.e4 K: H cooling dominates

Thoul & Weinberg ‘95

Page 5: Texas Symposium, MelbourneDecember 14th 2006 Theoretical Properties of Ly  Cooling Radiation’ Mark Dijkstra (CfA) Collaborators: Z. Haiman, M.Spaans &

Texas Symposium, MelbourneDecember 14th 2006

The Impact of Cooling on Gas Collapse

• Adiabatic collapse:Gas shell virializes at r=rmax/2

And heated to virial T of halo

• Turn on cooling mechanismtcool<<tdyn

Gas cools to 1e4 K rapidly

Thoul & Weinberg ‘95

Tvir =106 M

1011M⊕

⎝ ⎜

⎠ ⎟

2 / 31+ zcol

5

⎝ ⎜

⎠ ⎟

Page 6: Texas Symposium, MelbourneDecember 14th 2006 Theoretical Properties of Ly  Cooling Radiation’ Mark Dijkstra (CfA) Collaborators: Z. Haiman, M.Spaans &

Texas Symposium, MelbourneDecember 14th 2006

The Impact of Cooling on Gas Collapse.

• Gas collapses at T=1e4 K (no virial shock, for M<Mcrit)

• Cooling @ T=1.e4 K is dominated by collisional excitation of H– Collisions to 2p and 2s

states of H– 2p 1s: Ly cooling– 2s 1s: 2- emission

Thoul & Weinberg ‘95

Page 7: Texas Symposium, MelbourneDecember 14th 2006 Theoretical Properties of Ly  Cooling Radiation’ Mark Dijkstra (CfA) Collaborators: Z. Haiman, M.Spaans &

Texas Symposium, MelbourneDecember 14th 2006

Gas cooling.

• Gas cooling is dominated by Ly emission

• Spatially extends up to ~100 kpc.• Luminosities in the range L=1e42-

1e44 erg/s

(Haiman et al ‘00, Fardal et al ‘01, Yang et al ‘06)

Yang et al ‘06

Page 8: Texas Symposium, MelbourneDecember 14th 2006 Theoretical Properties of Ly  Cooling Radiation’ Mark Dijkstra (CfA) Collaborators: Z. Haiman, M.Spaans &

Texas Symposium, MelbourneDecember 14th 2006

Lyman Alpha ‘Blobs’

Steidel et al. (2000)

• Observed Spatially extended Ly emission up to ~ 100 kpc.

• Several tens have been discovered at z=3-5. (e.g. Matsuda et al, 2004; Saito et al, 2006/2007)

• Luminosities ~ 1e42-1e44 erg/s

• Powered by cooling radiation?

• Alternatives:– Obscured starburst/AGN– Shock heating by superwinds.– Fluoresence (next talk)

Page 9: Texas Symposium, MelbourneDecember 14th 2006 Theoretical Properties of Ly  Cooling Radiation’ Mark Dijkstra (CfA) Collaborators: Z. Haiman, M.Spaans &

Texas Symposium, MelbourneDecember 14th 2006

Ly Cooling Radiation: Properties

• Observational signatures of cooling radiation?

• Cooling clouds are optically thick to Ly-> radiative transfer (RT). Well studied problem (> 60 years)

HARD

Page 10: Texas Symposium, MelbourneDecember 14th 2006 Theoretical Properties of Ly  Cooling Radiation’ Mark Dijkstra (CfA) Collaborators: Z. Haiman, M.Spaans &

Texas Symposium, MelbourneDecember 14th 2006

Ly Transfer

• A simple problem: a Ly source inside a uniform static neutral H cloud.

• Calculate emerging spectrum Harrington ‘73, Neufeld ‘90, DHS06a

• Generally no analytic solution can be found:

– Monte-Carlo.

Page 11: Texas Symposium, MelbourneDecember 14th 2006 Theoretical Properties of Ly  Cooling Radiation’ Mark Dijkstra (CfA) Collaborators: Z. Haiman, M.Spaans &

Texas Symposium, MelbourneDecember 14th 2006

Ly Transfer

• Calculate Ly transfer through series of models representing cooling clouds

• Goal: To extract basic properties of Ly cooling radiation

• Use Monte-Carlo: follow individual photons through the collapsing cloud.

• The code is reliable.

Page 12: Texas Symposium, MelbourneDecember 14th 2006 Theoretical Properties of Ly  Cooling Radiation’ Mark Dijkstra (CfA) Collaborators: Z. Haiman, M.Spaans &

Texas Symposium, MelbourneDecember 14th 2006

Ly Transfer

• Cute: deuterium• N_H=2e19

(static)

Page 13: Texas Symposium, MelbourneDecember 14th 2006 Theoretical Properties of Ly  Cooling Radiation’ Mark Dijkstra (CfA) Collaborators: Z. Haiman, M.Spaans &

Texas Symposium, MelbourneDecember 14th 2006

Ly Cooling Radiation: Properties

Frequency->

Data: Smith & Jarvis, 2007

Radius

Su

rfa

ce b

righ

tne

ss

• Use Monte-Carlo method to calculate emerging Ly spectrum+surface brightness profiles.

• Result 1: Radiative Transfer of Ly through collapsing (optically thick) gas results in a blueshift of the line. The opposite is true for outflows.

• Frequency off-set of Ly-line constrains gas motion.

Page 14: Texas Symposium, MelbourneDecember 14th 2006 Theoretical Properties of Ly  Cooling Radiation’ Mark Dijkstra (CfA) Collaborators: Z. Haiman, M.Spaans &

Texas Symposium, MelbourneDecember 14th 2006

Ly Cooling Radiation: Properties

• What if one can’t tell whether there is an off-set?• Ly cooling radiation has frequency dependent

surface brightness profile:

Red: reddest 15% of Ly

Blue: bluest 15% of Lya

Page 15: Texas Symposium, MelbourneDecember 14th 2006 Theoretical Properties of Ly  Cooling Radiation’ Mark Dijkstra (CfA) Collaborators: Z. Haiman, M.Spaans &

Texas Symposium, MelbourneDecember 14th 2006

Ly Cooling Radiation: Properties

• Why a frequency dependent surface brightness profile?

Page 16: Texas Symposium, MelbourneDecember 14th 2006 Theoretical Properties of Ly  Cooling Radiation’ Mark Dijkstra (CfA) Collaborators: Z. Haiman, M.Spaans &

Texas Symposium, MelbourneDecember 14th 2006

Ly Cooling Radiation: Properties

• Caution:Spectra shown are affected by IGM. The impact of the IGM is non-trivial

(e.g. Santos ‘04; D, Wyithe & Lidz ‘07)

Page 17: Texas Symposium, MelbourneDecember 14th 2006 Theoretical Properties of Ly  Cooling Radiation’ Mark Dijkstra (CfA) Collaborators: Z. Haiman, M.Spaans &

Texas Symposium, MelbourneDecember 14th 2006

Ly Cooling Radiation: Properties

• Has cooling radiation from cold accretion been seen?

– Perhaps (e.g. talk by M.Rauch)– Saito et al’07 find asymmetric Ly profiles

with enhanced blue emission.

Page 18: Texas Symposium, MelbourneDecember 14th 2006 Theoretical Properties of Ly  Cooling Radiation’ Mark Dijkstra (CfA) Collaborators: Z. Haiman, M.Spaans &

Texas Symposium, MelbourneDecember 14th 2006

Ly Cooling Radiation: Properties

• Cooling radiation seen?

Wilman et al ‘05

Page 19: Texas Symposium, MelbourneDecember 14th 2006 Theoretical Properties of Ly  Cooling Radiation’ Mark Dijkstra (CfA) Collaborators: Z. Haiman, M.Spaans &

Texas Symposium, MelbourneDecember 14th 2006

Cooling Radiation: Properties

Part II(=short)

Page 20: Texas Symposium, MelbourneDecember 14th 2006 Theoretical Properties of Ly  Cooling Radiation’ Mark Dijkstra (CfA) Collaborators: Z. Haiman, M.Spaans &

Texas Symposium, MelbourneDecember 14th 2006

2- Cooling Radiation: Properties

• 1 collisional excitation 1s2p is accompanied by 0.6 excitations 1s2s • 2s1s++, 2 photons have combined energy of 10.2 eV.• Results in continuum emission redward of Ly-a. The spectrum of this

emission has been calculated by Spitzer & Greenstein (‘51)

Page 21: Texas Symposium, MelbourneDecember 14th 2006 Theoretical Properties of Ly  Cooling Radiation’ Mark Dijkstra (CfA) Collaborators: Z. Haiman, M.Spaans &

Texas Symposium, MelbourneDecember 14th 2006

2- Cooling Radiation: Properties

• How weak is continuum? Prominence of Ly line relative to continuum is quantified by the equivalent width (EW)

FLyα = EW × f λ (1216)

EW=1000-1500 Å

Emitted restframe EW

However IGM opaque to Ly;

Observed restframe EW

EW< 200 Å

Page 22: Texas Symposium, MelbourneDecember 14th 2006 Theoretical Properties of Ly  Cooling Radiation’ Mark Dijkstra (CfA) Collaborators: Z. Haiman, M.Spaans &

Texas Symposium, MelbourneDecember 14th 2006

2- Cooling Radiation: Properties

• Shape of continuum can also ‘betray’ cooling

Cooling powered or resonant scattering or recombination emission?

Page 23: Texas Symposium, MelbourneDecember 14th 2006 Theoretical Properties of Ly  Cooling Radiation’ Mark Dijkstra (CfA) Collaborators: Z. Haiman, M.Spaans &

Texas Symposium, MelbourneDecember 14th 2006

‘Theoretical Properties of Ly-a Cooling Radiation’Mark Dijkstra (CfA)

Collaborators: Z. Haiman & M.Spaans

Summary• Gas cooling is accompanied by copious Ly emission (especially the

‘cold’ mode).

• Observational signposts of this emission are:– Intrinsic blueshift of line– Steepening of surface brightness towards bluer Ly wavelength– Faint continuum redward of Ly with weird spectrum.

– Caution: Absence does not immediately rule out cooling radiation.

• Currently, no convincing observational evidence exists, but d/dt(almost convincing) > 0.