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Yoctosecond light flashes
from the quark-gluon plasma
Andreas Ipp
Technische Universitt Wien
Collaborators:
Jrg Evers, Christoph H. Keitel
(Max-Planck-Institut fr Kernphysik, Heidelberg)
Vienna Theory Lunch Club, Nov 10, 2009
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Yoctosecond photon pulses
Possibility of double pulses:
Yoctosecond photon pulses from heavy ion collisions:
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History of light pulse duration
Nd:glass: Neodymium glass laser
CW Dye: Continuous Wave Dye laserCPM: Colliding Pulse-Mode locked dye laser
Ti:sapphire: Titanium sapphire laser
HHG: High-Harmonic GenerationQGP: Quark Gluon Plasma
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Outline
Introduction
Time scales down to yoctosecond
Quark-gluon plasma (QGP)
Yocto-second pulses from the QGP
Time evolution of heavy ion collisions
Possibility of double pulses
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Time scales
Eadweard Muybridge: The Horse in Motion (1878)
Time-slice photography
Bullet time: used in The Matrix (1999)
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Time scales
Chemical reactions
Protein folding
CPU
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Femtochemistry
Ahmed H. Zewail: Nobel price Chemistry 1999"for his studies of the transition states of chemicalreactions using femtosecond spectroscopy"
(PCAST; Science Envoy)
Image: DESY / XFEL
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Pump probe spectroscopy
Image: DESY / XFEL
First laser flash triggers chemical reaction.
Second laser pulse takes snapshot of intermediate state.
By varying interval between pulses, a movie can be created.
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Attosecond
Electrons in atoms
Atoms in molecules
Electrons in molecules
Movie of ...
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Attosecond technology
High harmonic generation
Image: Wikipedia
Goulielmakis et al, Science 320, 1614 (2008)
Attosecond streakingspectrogram measuresXUV pulse durationof 80 as.
d
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Zeptosecond
Zeptosecond snapshots of two 238Unuclei colliding at 900 MeV,resulting in three primary fragments.
Golabek, Simenel,Phys. Rev. Lett. 103, 042701 (2009)
Movie of nucleons in nuclei?
Radioactive decay:Colliding nuclei:
Nuclear resonances:
Z d
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Zeptosecond
Suggestions for creating zs pulses:
LasetronKaplan, Shkolnikov,PRL 88, 074801 (2002)
Plasma mirrorGordienko et al.,PRL 93, 115002 (2004);
Tsakiris et al.,NJP 8, 19 (2006);
Nonlinear ThomsonbackscatteringLan et al.,Phys. Rev. E 72, 06501 (2005)
Y t d
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Yoctosecond
1 ys = 10-24 s
Movie of quarks in hadrons?
Dugger et al.,Phys. Rev. C 76, 025211 (2007)
Photoproduction on proton
Y t d
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Yoctosecond
Heavy ion nuclei (gold, lead) (d~14 fm)
formation time of QGP: t~1 fm/c 3 ys
QGP phase: RHIC 5 fm/c, LHC 7.5 fm/c
good agreement with hydrodynamic
simulations,
'perfect liquid' news 2005
(Simulation by UrQMD group, Frankfurt)
1 ys = 10-24 s
QCD h di
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QCD phase diagram
QCD
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QCD pressure
Perturbation theory:
g2: Shuryak; Chin (1978)
g3: Kapusta (1979)
g4 ln g: Toimela (1983)
g4 : Arnold, Zhai (1994)
g5 : Zhai, Kastening (1995),
Braaten, Nieto (1996)
g6 ln g: Kajantie, Laine,
Rummukainen, Schrder (2002)
g6 (partly): Di Renzo, Laine, Miccio,
Schrder, Torrero (2006)
Nf
3 g6: Gynther, Kurkela, Vuorinen
(2009)
1.5 2 2.5 3 3.5 4 4.5 5
T/TC
1.5
0.8
0.6
1.2
1.4
P/P0
g2
g5
g3
g4
Lattice data: G. Boyd et al. (1996); M. Okamoto et al. (1999).
Perturbative expansion of QCD pressure converges badly
QCD pressure
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QCD pressure
HTL
NLA
1.5 2 2.5 3 3.5 4 4.5 5
0.6
0.8
0.9
1
0.7
T/TC
S/S0
Selfconsistent 2PI resummation works forT2.5TC
-derivable approximation
Blaizot, Iancu, Rebhan,PRD63 (2001)
Lattice data: G. Boyd et al. (1996).
tested at large Nf
Blaizot, AI, Rebhan, Reinosa,PRD72 (2005)
For 4, exact renormalization
group gives comparableresults
Blaizot, AI, Mendez-Galain, Wschebor,NPA (2007)
RHIC
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RHIC
Relativistic heavy ion collider: experimental sites
STAR
PHENIX
PHOBOS
BRAHMS
Photon spectrum
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Photon spectrum
PHENIX data
for direct photons
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PHOS (PHOton Spectrometer)
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PHOS (PHOton Spectrometer)
PHOS is an electromagnetic calorimetermade of lead-tungstate crystals (PbWO
4).
Detects photons (of ~ 0.5 - 10 GeV/c),0s (of ~ 1 - 10 GeV/c) and
mesons (of ~ 2 - 10 GeV/c).
Photon production in the QGP
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Photon production in the QGP
Hard contributions: Soft contributions:
Compton scattering:Quark-antiquark
annihilation:
need to use dressed propagators
T~pkc gT~pkc
kc~gTFinal result should be independent of intermediate cutoff
pp
p
Kapusta, Lichard, and Seibert,Phys. Rev. D44, 2774 (1991)
dressedpropagator
Integrate over thermal distribution functions.
Expanding plasma
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Expanding plasma
Bjorken expansion model
J. D. Bjorken, PRD 27, 140 (1983)
Momentum space anisotropy
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Momentum space anisotropy
Isotropic plasma: Anisotropic plasma:
anisotropy in momentum space
quarks: Fermi-Dirac distribution
stretch or compress isotropicdistribution along axis :
fFq=
1
eq/T
1
fBq=
1
eq/T1
fq=f isoq2qn2
gluons: Bose-Einstein distribution
n
n
..anisotropy parameter
Schenke and Strickland,Phys. Rev. D76, 025023 (2007)
Photon rate
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Photon rate
Photon rate as function of emission angle qfor various anisotropy parameters
Schenke, Strickland, Phys. Rev. D76:025023, 2007.
Model for time-evolution
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Model for time evolution
Martinez, Strickland, Phys. Rev. C78:034917, 2008.
Isotropization time iso
Anisotropy parameter Energy density
Differential photon emission rate
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Differential photon emission rate
Suppression of differential photon rate can lead to double peak structure,
but this still needs to be integrated over space-time.
Photon rate in forward direction in the plasma rest frame:
Space-time diagram of the collision
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Space time diagram of the collision
Bjorken expansion model
J. D. Bjorken, PRD 27, 140 (1983)
Space-time diagram of the collision
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Bjorken expansion model
J. D. Bjorken, PRD 27, 140 (1983)
Detector
photo
n
Space time diagram of the collision
See also: possibility of plasma instabilities in anisotropically expanding plasma:Romatschke, Rebhan (2006); Rebhan, Strickland, Attems (2008);Rebhan, Steineder (in preparation)
Emission transverse to beam axis
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Emission transverse to beam axis
Time evolution of photon emission
Structure of peak fully dominated by geometry.
Double peak structure washed out.
Non-central collisions
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Non central collisions
Detector
In order to see double peaks, one needs:
non-central collisions (to decrease physical size of QGP)
detector in forward direction (to increase effect of momentum anisotropy)
Non-central + forward direction
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Time evolution of photon emission
Pump probe experiments at the yocto-second time-scale?
Intermediate angle:a double peak may appear.
(but: large model uncertainties)
Photon properties
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p p
Turbide, Rapp, and Gale, PRC 69, 014903 (2004)
Only few GeV photonsemitted per collision.
1 GeV photon per 10 ys:pulse energy: ~100 pJpulse power: ~10 TW
Single photon per pulsein principle sufficient to
reconstruct nontrivialpulse shape.Keller et al., Nature 431, 1075 (2004)Kolchin et al., PRL 101, 103601 (2008)
Other photon sources:
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