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Transcript
Ultra-high-energy cosmic-rays
and the challenge of particle
acceleration in the universe
Etienne Parizot
(APC – Université Paris Diderot - France)
2
Glasgow, 13 Nov. 20012!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
Cosmic rays timeline
3
(ultra-brief)
 
1785: Coulomb notices the
spontaneous discharge of
electroscopes
 
1895-1900: discovery of the subatomic world:
X-rays, electrons, radioactivity…
ionizing radiation !
 
1900: Wilson confirms spontaneous
discharge of electroscopes in deep
underground mines
natural radioactivity
(Rutherford)
Glasgow, 13 Nov. 20012!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
Cosmic rays timeline
 
4
(ultra-brief)
1909: Wulf studies electroscopes spontaneous
discharge at bottom and top of Eiffel Tower (320 m)
anomalously small attenuation of irradiation!
 
1910-1911: Pacini studies spontaneous
discharge far from Earth crust (lake, sea)
not due to rock radioactivity
 
1911-1912: Hess studies spontaneous discharge at different
altitudes, with balloon flights up to 5300 m (7 Aug. 2012)
radiation source from above!
Glasgow, 13 Nov. 20012!
(+ Gockle, 1909)
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
Cosmic rays timeline
 
5
(ultra-brief)
Summary of Hess and Kohlörster observations (1912-1914)
10 km
altitude
Synthèse
des mesures
de Hess et de Kolhörster
(1912 - 1914)
8 km
6 km
very penetrating!
4 km
2 km
0 km
radiation intensity
0
20
40
60
Intensité du rayonnement
80
« The result of these observations seems to be explained in the easiest way by assuming
that an extremely penetrating radiation enters the atmosphere from above » (V. Hess)
Glasgow, 13 Nov. 20012!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
Cosmic rays timeline
6
(ultra-brief)
 
1912-1929: Millikan believes that “Hess rays” are gamma-rays
 gives them the name of “cosmic rays” (1925)
 
1927-1929: Experiments with Geiger counters and cloud
chambers with magnetic fields show that the particles are
charged (Bothe, Kohlörster, Skobeltzyn)
But these are secondary particles (after interaction of
primary cosmic rays in the atmosphere)
 
1928-1930: flux variation with latitude shows the primaries
are charged (Clay, Compton)
 
1933: east/west asymmetry shows CRs’ charge is positive
(Alvarez & Compton)
 
1941: CRs are composed mostly of protons
Glasgow, 13 Nov. 20012!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
Cosmic rays timeline
 
7
(ultra-brief)
Birth of the science of particle physics
■ 
Major discoveries
1932
◆ 
Positron ⇒ antimatter !
1936
◆ 
Muon
1947
◆ 
Pions : π 0, π +, π -!
1949
◆ 
Kaons (K)
1949
◆ 
Lambda (Λ)!
1952
◆ 
Xi (Ξ)!
1953
◆ 
Sigma (Σ)!
Glasgow, 13 Nov. 20012!
“strange” particles!
(lifetime is much too long)!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
Key discovery: atmospheric showers
 
8
1938: Coincident detection of secondary particles over large areas from the
cascade induced by a single cosmic-ray event (Pierre Auger)
1 very energetic particle
particle
shower
atmospheric
shower
many secondary particles
Glasgow, 13 Nov. 20012!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
Very high energy cosmic rays
 
9
Pierre Auger assesses the existence of cosmic rays of
unconceivably high energy:  E > 1015 eV
 Lorentz factor: Γ > 106
 
The detection rate decreases rapidly with energy
 the flux decreases sharply, in E-2.7 or so, but with no evidence
for a cutoff…
 
Search for higher and higher energies, with lower and lower
fluxes, with larger and larger detectors…
 
2 main reasons
for this quest:
Glasgow, 13 Nov. 20012!
 
 
Try to break through the magnetic mist!
Challenging acceleration processes!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
A wonder of the Physical world!
10
CR flux
32 orders of magnitude
The cosmic-ray spectrum!
1021 eV
100 MeV
Glasgow, 13 Nov. 20012!
12 orders of magnitude
Energy
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
The cosmic-ray energy spectrum
11
Flux
32 orders of magnitude
~ 1 particle / m2 / second
Out of equilibrium !!!
~ 1 particle / m2 / yr
1021 eV
100 MeV
Glasgow, 13 Nov. 20012!
Energy
~ 1 particle / m2 /
billion years!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
The cosmic-ray energy spectrum
Glasgow, 13 Nov. 20012!
12
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
The quest for ultra-high-energy CRs
13
Pierre Auger!
Georgi Zatsepin!
Yakutsk (Sibérie)
58 detectors covering 12 km2
Haverah Park (UK)
Cherenkov tanks (water), 12 km2
Glasgow, 13 Nov. 20012!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
The quest for ultra-high-energy CRs
John Linsley!
14
Volcano Ranch (New Mexico)
1962: a cosmic ray with E ≥ 1020 eV !!!
Several joules = macroscopic energy !
Lorentz factor of 1011
v ≈ 0,99999999999999999999995 × c
Glasgow, 13 Nov. 20012!
1 second  3500 years
1.5 m  d(Earth,Sun)
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
The quest for ultra-high-energy CRs
 
 
15
A 1020 eV atmospheric shower yields
~100 billion particles in the atmosphere!
By a clear, moonless night, one can detect
the induced fluorescence light!
15 october 1993: 3.2×1020 eV !!!!
Fly’s Eye, puis HiRes (Utah)
Glasgow, 13 Nov. 20012!
 keeps up the dream of a
“cosmic-ray astronomy”!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
Which cosmic-ray sources behind the
magnetic mist?
 
As charged particles, cosmic rays
are deflected by magnetic fields
 
Larmor radius: rL = E/qBc
16
Proton
E = 1015 eV
B = 3 µG
rL ~ 1/3 pc
rL << size of the Galaxy
Glasgow, 13 Nov. 20012!
isotropization
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
Which cosmic-ray sources behind the
magnetic mist?
 
17
No astronomy with cosmic rays  sources are still not known!
≠
Source position is known
Source position is unknown
Next slide: high resolution image of the sky seen in cosmic rays…
Glasgow, 13 Nov. 20012!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
18
Glasgow, 13 Nov. 20012!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
Breaking the magnetic mist at high E ?
 
19
Larmor radius ∝ E
increasing energy
 
Protons with E >> 1018 eV are not confined in the Galaxy
rL >> size of the Galaxy
pointing astronomy?
Proton
E = 1020 eV
B = 1 nG
rL ~ 100 Mpc
larger than the
horizon scale!
???
Glasgow, 13 Nov. 20012!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
20
The “GZK effect”
 
Major prediction by Greisen (1966) and Zatsepin &Kuz’min
(1966) a few weeks after the discovery of the CMB
UHE proton
as seen in the
+
“cosmic frame”
γ-ray photon
as seen in the
+
“proton rest frame”
CMB photon
proton
very low energy
(T = 2.7 K)
e-
or
π
e+
 
In the proton rest frame, the gamma-ray loses energy to produce
the secondary particles
 
In the “cosmic frame”, the UHE proton loses energy!
Glasgow, 13 Nov. 20012!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
[cross section] x [inelasticity]
21
1
production
de pions
Pion
production
0,1
σκ (mbarn)
0,01
0,001
paires e+/ee+production
/e- pair de
production
0,0001
1 0-5
1 0-6
1 06
1 07
1 08
1 09
1 010
Eγ (en eV)
Glasgow, 13 Nov. 20012!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
Proton attenuation length
22
e+e–
π
attenuation length
interaction length
Glasgow, 13 Nov. 20012!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
23
Proton horizons
 
For different energies, the plot shows the fraction of protons
(ordinate) coming from a distance smaller than the abscissa
1
20.4
0,8
20.2
P(d<D)
20.0
19.8
0,6
19.6
19.4
0,4
19.2
0,2
Protons
10
Glasgow, 13 Nov. 20012!
100
D(Mpc)
1000
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
GZK cut-off for nuclei
 
24
Photo-dissociation through interactions with CMB photons
γ-ray photon
in the “nucleus
rest frame”
as seen in the
“cosmic frame”
energy losses!
Glasgow, 13 Nov. 20012!
+
+
CMB photon
mass-dependent horizon scale…
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
25
Helium horizons
 
For different energies, the plot shows the fraction of He nuclei
(ordinate) coming from a distance smaller than the abscissa
1
0,8
19.8
P(d<D)
19.6
0,6
19.4
19.2
0,4
0,2
He
10
Glasgow, 13 Nov. 20012!
100
D(Mpc)
1000
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
26
“CNO” horizons
 
For different energies, the plot shows the fraction of C, N or O
nuclei coming from a distance smaller than the abscissa
1
20.0
0,8
P(d<D)
19.8
0,6
19.6
19.4
19.2
0,4
0,2
CNO
10
Glasgow, 13 Nov. 20012!
100
D(Mpc)
1000
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
GZK horizons for UHECRs
27
104
Proton
Fe
Helium
Oxygen
103
Iron
χ75 (Mpc)
102
He
O
H
101
100
10-1
1019
Glasgow, 13 Nov. 20012!
1020
E (eV)
1021
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
Fitting the UHECR spectrum
Pure Fe sources
Pure proton sources
Fe only (at sources)
Emax= Z × 1020.3 eV
1024
20 ≤ Z ≤ 26
12 ≤ Z ≤ 19
protons
1023
Pure Proton
β=2.3
evolution : (1+z)5
1025
β = 2.3
E3Φ(E) (eV2m-2s-1sr1)
E3Φ(E) (eV2m-2s-1sr1)
1025
28
1024
1023
9 ≤ Z ≤ 11
18,4
Glasgow, 13 Nov. 20012!
18,8
19,2 19,6
log10E eV
20
20,4
18,4
18,8
19,2 19,6
log10E eV
20
20,4
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
UHECR phenomenology
  Modification
 
of the composition
Photo-dissociation + magnetic rigidity effects…
  Modification
 
of the energy spectrum by the GZK effect
Energy-dependent horizon within which the sources must be!
  Modification
 
29
of the arrival directions:
Hopefully limited at UHE, but the deflections depend on
particle charge!
Glasgow, 13 Nov. 20012!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
Main results of the
Pierre Auger Observatory
 
Energy cut-off confirmed with high statistics!
km2
(3000
in
Argentina)
30
Drastic reduction
of the flux above
~ 6 1019 eV
Is it the GZK cut-off
(horizon effect) or the end
of the acceleration process?
(or both?!)
Can we isolate sources in
the sky before the spectrum
ends?
Glasgow, 13 Nov. 20012!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
Main results of the
Pierre Auger Observatory
 
Energy cut-off confirmed with high statistics!
km2
(3000
in
Argentina)
31
Drastic reduction
of the flux above
~ 6 1019 eV
Is it the GZK cut-off
(horizon effect) or the end
of the acceleration process?
(or both?!)
Can we isolate sources in
the sky before the spectrum
ends?
Glasgow, 13 Nov. 20012!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
Main results of Auger
 
32
Disappointing image of the UHECR sky above 60 EeV
No obvious accumulation of events in specific arrival directions…!
 no source identified!
Glasgow, 13 Nov. 20012!
 Question still open!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
Main results of Auger
 
33
However, the first evidence for anisotropies has been observed.
But not easy to interpret and with moderate significance.
Excess of correlation
with local matter
(~100 Mpc)!
for E ≥ 6 1019 eV!
The deflections are
probably large (≥ 10°) !
 One will need to significantly increase the statistics at the
highest energies, where the number of sources within the GZK
horizon is very limited, in order to isolate sources in the sky…!
 Major challenge for the coming years!!
Glasgow, 13 Nov. 20012!
 JEM-EUSO?!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
Main results of Auger
 
34
Composition features…
Atmospheric depth of maximum shower development!
AVERAGE!
SPREAD!
Transition towards a heavier composition around 1019 eV…!
Consistent with large deflections (and weak or no anisotropy)!
(But maybe in conflict with other results in Northern hemisphere)!
But relies on extrapolations of hadronic physics models!
+ details do not work perfectly well: more muons than predicted!!
 constraints for and from high-energy physics!
Glasgow, 13 Nov. 20012!
cf. LHC results!!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
UHECRs and high-energy physics - 1
35
unexplored
hadronic physics
Glasgow, 13 Nov. 20012!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
UHECRs and high-energy physics - 1
36
unexplored
hadronic physics
QGSJET, SYBILL,
EPOS…
Recent input from
LHC results have
been implemented to
better constrain the
models used in
atmospheric shower
simulations
 science in progress…
Glasgow, 13 Nov. 20012!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
UHECRs and high-energy physics - 1
37
unexplored
hadronic physics
Discrepancy between
models predictions
and observations
(number of muons:
too many + no feature
in energy!)
 new physics or
new constraints on:
-  cross sections
-  multiplicity
-  rapidity
-  etc.
Glasgow, 13 Nov. 20012!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
UHECRs and high-energy physics - 1
38
unexplored
hadronic physics
Experimental
challenge:
disentangle the muon
component from the
EM component
 under study…
+ independent estimate
of the composition
By anisotropy studies?
By radio data?
By astrophysics?
Glasgow, 13 Nov. 20012!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
Intermediate comment
 
Historically, Cosmic Rays played a key role in High-Energy
Physics, giving birth to Particle Physics, and allowing one to
explore the physical world at an unprecedented energy scale.
 
Then their role decreased because of the poor control on and
understanding of the “cosmic beam”, compared to the highenergy beams produced in man-made accelerators…
 
Today, UHECRs give access to a new realm of physics,
beyond accelerator’s reach. But we still suffer from the poor
understanding of the beam (and its extreme rarity!)…
 
Progress in high-energy astrophysics and “astroparticle
physics” is a key to progress in high-energy physics, and viceversa!
Glasgow, 13 Nov. 20012!
39
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
Particle acceleration in the universe
 
40
Major question in high-energy astrophysics:
Where do the cosmic rays come from?
 What are the sources?
 What is the acceleration mechanism?
 
Energetics arguments indicate a link with supernovæ
explosions (~20%-30% of their kinetic power)
(but it could be a coincidence, or it could be an indirect link)
 
We do know a mechanism to accelerate particles at the shock
wave created by the supersonic (super-Alfvénic) supernova
ejecta in the interstellar medium!
 Diffusive Shock Acceleration
 
We do see energetic particles at the shock supernova fronts!
Glasgow, 13 Nov. 20012!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
Supernova remnants
 
X-ray rims from synchrotron emission of
TeV electrons in amplified magnetic field
 
TeV gamma-ray emission
Chandra (satellite X)
Tycho (1572)
41
Red 0.95-1.26 keV, Green 1.63-2.26 keV, Blue 4.1-6.1 keV
π0 decay (hadronic) ?
Inverse Compton scattering (leptonic) ?
Glasgow, 13 Nov. 20012!
broad-band spectrum
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
Diffusive shock acceleration
Chandra (satellite X)
 
42
Tycho (1572)
Supernova explosion (~ 3/century)
supersonic ejecta: V = 104 km/s
super-Alfvénic flow
 collisionless shock wave
Red 0.95-1.26 keV, Green 1.63-2.26 keV, Blue 4.1-6.1 keV
 
Key aspect of the shock wave = discontinuity in velocity!
Vshock
Glasgow, 13 Nov. 20012!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
Diffusive shock acceleration
Chandra (satellite X)
 
43
Tycho (1572)
Supernova explosion (~ 3/century)
supersonic ejecta: V = 104 km/s
super-Alfvénic flow
 collisionless shock wave
Red 0.95-1.26 keV, Green 1.63-2.26 keV, Blue 4.1-6.1 keV
 
Key aspect of the shock wave = discontinuity in velocity!
+ magnetic turbulence!
 resonant interaction
Vshock
Glasgow, 13 Nov. 20012!
between energetic particles
and plasma waves
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
Diffusive shock acceleration
 
44
Reflection off “magnetic walls”
No energy gain, because a B field does not produce any work
Glasgow, 13 Nov. 20012!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
Diffusive shock acceleration
 
45
Simple analogy
v
Tennis ball bouncing
off a standing wall
v
elastic bounce  unchanged velocity
Glasgow, 13 Nov. 20012!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
Diffusive shock acceleration
 
46
Simple analogy
v
Tennis ball bouncing
off a standing wall
v
elastic bounce  unchanged velocity
v
v + 2V
V
unchanged velocity
with respect to the racket
elastic bounce  ball acceleration
Glasgow, 13 Nov. 20012!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
Diffusive shock acceleration
 
47
Reflection off “magnetic walls”
No energy gain, because a B field does not produce any work
moving magnetic structure
 energy gain!
V
Glasgow, 13 Nov. 20012!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
Diffusive shock acceleration
 
48
Reflection off “magnetic walls”
No energy gain, because a B field does not produce any work
moving magnetic structure
 or energy loss!
( drop shot in tennis!)
Glasgow, 13 Nov. 20012!
V
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
Diffusive shock acceleration
 
49
Reflection off “magnetic walls”
No energy gain, because a B field does not produce any work
moving magnetic structure
 energy change
[equivalent to the work
of the induced E field…]
Glasgow, 13 Nov. 20012!
V
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
Diffusive shock acceleration
 
50
Always head-on interactions across a shock wave!
shock front
n2, p2, T2
n1, p1, T1
v2
v1
downstream medium
upstream medium
velocity discontinuity: Δv/c
•  In the downstream rest frame, the upstream medium is coming
towards the particles that cross the shock
•  In the upstream rest frame, the downstream medium is coming
towards the particles that cross the shock
Glasgow, 13 Nov. 20012!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
Diffusive shock acceleration
 
51
Always head-on interactions across a shock wave!
shock front
n2, p2, T2
n1, p1, T1
v2
v1
downstream medium
upstream medium
velocity discontinuity: Δv/c
 
Energy gain at each shock crossing!
compression
ratio
Balance between exponential energy growth
and constant probability of escaping away
from the shock (due to the global drift along
the flow in the shock rest frame)
 universal power law spectrum in E-2 !!
Glasgow, 13 Nov. 20012!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
Limitations of shock acceleration
 
52
Magnetic turbulence and waves must be present on both
sides of the shock
shock front
Vshock
~ easy downstream
(shocked medium)
waves resonantly produced upstream by
energetic particles themselves  tricky!
It works: we do see particle acceleration at collisionless shocks!
(supernovæ, extragalactic, interplanetary, etc.)
 
 important problem for relativistic shocks!
Challenging for ultra-high-energy cosmic rays (UHECR)
Glasgow, 13 Nov. 20012!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
Limitations of shock acceleration
 
53
Keep the particle inside the accelerator!
Shocks fronts are not infinite planes!
 
Key limitation, due to the size of
the accelerator
The Larmor radius of the particle must be
smaller than the size of the accelerator
In fact, diffusion-advection at the shock implies:
(“work of an effective induced E field”)!
so-called “Hillas criterion”
Glasgow, 13 Nov. 20012!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
“Hillas plot”
Glasgow, 13 Nov. 20012!
54
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
“Hillas plot”
Glasgow, 13 Nov. 20012!
55
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
Limitations of shock acceleration
 
Hillas criterion  not so many candidates for ultra-highenergy cosmic rays (UHECRs)!
 
“Optimistic view”:
 
 
 
 
“Pessimistic view”:
 
56
sources are among the few candidates
the particle acceleration process works
at its maximum possible efficiency
we roughly see the end of the
acceleration spectrum
Adding refinements and taking into
account actual conditions will reduce
the maximum energy and make the
process fail for UHECRs
 Optimistic in another way!  it just requires other ideas for
particle acceleration in the universe!
Glasgow, 13 Nov. 20012!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
Limitations of shock acceleration
 
Acceleration (energy gain) competes with energy losses!
 
The longer the particle stay in the accelerator, the higher the
probability to interact with ambient fields or particles
 energy losses
 
 
- 
- 
- 
- 
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synchrotron radiation
Inverse Compton scattering
photo-pion production
photo-dissociation
Problem for large shocks…
Problem for high-power regions…
 Can severely challenge the Hillas criterion!
Glasgow, 13 Nov. 20012!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
New ideas for particle acceleration?
 
58
What about wake-field acceleration?
See past and coming works by Tajima, Takahashi, Chen, Hillmann,
Ebisuzaki…
 
For instance, gamma-ray bursts are hugely powerful events
They emit in a few seconds the total energy radiated by the Sun in
10 billion years!
Ultra-relativistic outflows and huge amount of high-energy photons
in a small volume (1046 J in a few tens of km… ?)
 
Short timescale acceleration  can we avoid losses?
 
In any case, one should think about non linear effects…
A new field within astrophysics, very little explored (if at all!)…
 Possible connections with iZEST community…
Glasgow, 13 Nov. 20012!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
Other possible connections
 
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Exploration of high-energy physics
Hadronic physics from UHECR interactions in the atmosphere
(shower physics, cross sections, etc.)
 
Exploring fundamental physics at 1020 eV
Highest-energy particles in the universe  can we use them as the
cosmic rays were used in the first half of the XXth century to
discover new structures and new physics?
 
Exploring space-time structure…
UHECRs propagate in space-time at an
unexplored energy scale
 may feel small-scale structures
 
Lorentz Invariance Violation… (“predicted” by most
quantum gravity theories…)
Glasgow, 13 Nov. 20012!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
Lorentz Invariance Violation (LIV)
 
Cf. talk by Professor Tajima this morning
60
(Abdo, et al, 2009)
Different propagation timescales
for the different photon energy
 Constraints from astrophysical
observations of the energy/time
structures in the light curves of
distance sources
 Or studies with “infinitesimal”
timescales on “human-scale” distance
 IZEST?
Glasgow, 13 Nov. 20012!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
LIV and the GZK cut-off
 
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Lorentz Invariance Violation and the GZK cut-off
The GZK cut-off in the UHECR spectrum is due to energy losses
from the interactions between UHECRs and CMB photons
 
Ingredients:
Interaction cross sections:
well known and measured
at the relevant energies
Photon energy distribution:
very well-known in the cosmic
frame: CMB black body spectrum!
 
But the calculation assumes that we know how to make a
Lorentz transform with a Lorentz factor of 1011 !
 
The energy of the photons may not transform as we think!
That would change the effective energy threshold for pion production,
and thus the energy scale of the cut-off!
Glasgow, 13 Nov. 20012!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
LIV and the GZK cut-off
 
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Different particles may have different “maximum
attainable velocities”!
Violation of Lorentz Invariance:
 
Threshold and elasticity of photo-pion production
Will be modified if c is different for the protons and the pions
(simple kinematics!)
Glasgow, 13 Nov. 20012!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
LIV and the GZK cut-off
 
63
Energy losses and GZK horizon will thus be different
from those calculated in the standard case…
(Stecker-Scully 2009)
Proton attenuation length
with LIV
no LIV
Proton energy
Glasgow, 13 Nov. 20012!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
LIV and the GZK cut-off
 
64
Energy losses and GZK horizon will thus be different
from those calculated in the standard case…
(Stecker-Scully 2009)
UHECR flux
Flux recovery at
ultra-high energy!
with LIV
no LIV
UHECR energy
Glasgow, 13 Nov. 20012!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
LIV and the GZK cut-off
 
65
Energy losses and GZK horizon will thus be different
from those calculated in the standard case…
(Stecker-Scully 2009)
UHECR flux
Flux recovery at
ultra-high energy!
with LIV
Current limit
no LIV
Look for larger statistics at higher energy!
Glasgow, 13 Nov. 20012!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
Perspective
66
 
Go into space to increase the statistics at UHE energy
 
JEM-EUSO!
Large field-of-view UV
telescope on the Kibo module of
the International Space Station
Observe 200 000
Glasgow, 13 Nov. 20012!
km2
at once!
 
Momentum is building up!
 2017 ?
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!
Perspective
 
UHECRs offer an interesting way to explore high-energy
physics and fundamental physics at the highest energies known
 
The acceleration of particles in the universe is challenging
and not well understood
67
 new ideas are welcome!
 
There are extreme environments in the universe where non
linear electromagnetic effects might be important
 must be studied !
 
This moment is timely for explorative interactions between
the IZEST community and the high-energy astrophysics and
astroparticle physics communities
(new instruments and capabilities under view)
Glasgow, 13 Nov. 20012!
— IZEST 2012 / UHECRs challenging particle acceleration in the universe —! E. Parizot (APC, Paris 7)!