Ultra-High Energy Cosmic Rays: Results, and ProspectsKarl-Heinz Kampert, University Wuppertal
26th Texas Symposium on Relativistic Astrophysics, São Paulo, Brazil, 15.-20., 2012
Area ∝ Grant
Karl-Heinz Kampert Texas-Symp., São Paulo, Dec. 20122
1. 100 years of CRs – 50 years of 1020 eV physics – 5 years of revolutionary development
2. Review of observational data:do we see the long awaited GZK-effector the exhaustion of sources ?
3. Recent developments in phenomenology /theory
4. Future plans
Contents
Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 2012
100 years ago: Discovery of Cosmic Radiadion
Victor-Franz Hess 1912
3
1936
0
10
20
30
40
50
0 2000 4000 6000
Apparat 1Apparat 2
Height (m)
Inte
nsi
ty
VOLUME 10, NUMBER 4 PHYSICAL RK VIEW LKTTKRS 15 I'EBRUARY 196)
cleon-nucleon scattering see, for example, M. L. Gold-berger, Q. T. Grisaqu, S. %'. MacDow'ell, and D. Y.Kong, Phys. Rev. 120, 2250 (1960). Other methods ofcalculating phase shifts in terms of scalar and vectorparticle exchanges have been considered by a numberof authors. See, for example, R. Bryan, C. Dismukes,and W. Ramsay (to be published).3R. Blankenbecler and M. L. Goldberger, Phys.
Rev. 126, 766 (1962); G. F. Che~ and S. C. Frautschi,
Phys. Rev. Letters 7, 394 (1961);S. Frautschi,M. Gell-Mann, and F. Zachariasen, Phys. Rev. 126,2204 (1962); D. %'ong, Phys. Rev. 126, 1220 (1962).4H. Stapp (private communication).SM. Hull, K. Lassila, H. Ruppel, F. McDonald, and
G. Breit, Phys. Rev. 122, 1606 (1961).6C. de Vries, R. Hofstadter, and R. Herman, Phys.
Rev. Letters 8, 381 (1962).7J. Ball and D. %'ong (to be published).
EVIDENCE FOR A PRIMARY COSMIC-HAY PARTICLE WITH ENERGY 10 eV~
John LinsleyLaboratory for Nuclear Science, Massachusetts Institute of Technology, Cambridge, Massachusetts
(Received 10 January 1963)
Analysis of a cosmic-ray air shower recordedat the NIT Volcano Ranch station in February1962 indicates that the total number of particlesin the shower (Serial No. 2-4834) was 5x10'0.The total energy of the primary particle whichproduced the shower was 1.0x10~ eV. The show-er was about twice the size of the largest we hadreported previously (No. 1-15832, recorded inMarch 1961).'The existence of cosmic-ray particles having
such a great energy is of importance to astrophys-ics because such particles (believed to be atomicnuclei) have very great magnetic rigidity. It isbelieved that the region in which such a particleoriginates must be large enough and possess astrong enough magnetic field so that REI» (1/300)x(E/Z), where R is the radius of the region (cm)and H is the intensity of the magnetic field (gauss).E is the total energy of the particle (eV) and Z isits charge. Recent evidence favors the choiceZ = 1 (proton primaries) for the region of highestcosmic -ray energies. ' For the pr esent event oneobtains the condition RB» 3 x 10' . This conditionis not satisfied by our galaxy (for which RH ~ 5x10", halo included) or known objects within it,such as supernovae.The technique we use has been described else-
where. ' An array of scintillation detectors isused to find the direction (from pulse times) andsize (from pulse amplitudes) of shower eventswhich satisfy a triggering requirement. In thepresent case, the direction of the shower wasnearly vertical (zenith angle 10+ 5'). The valuesof shower density registered at the various pointsof the array are shown in Fig. 1. It can be ver-ified by close inspection of the figure that thecore of the shower must have struck near the
point marked "A," assuming only (1) that showerparticles are distributed symmetrically about anaxis (the "core"), and (2) that the density of par-ticl.es decreases monotonically with increasingdistance from the axis. The observed densities
0.6
KlLOMETERS
FIG. 1. Plan of the Volcano Ranch array in February1962. The circles represent 3.3-m2 scintillation de-tectors. The numbers near the circles are the showerdensities (particles/m ) registered in this event, No.2-4834. Point A is the estimated location of theshower core. The circular contours about that pointaid in verifying the core location by inspection.
146
VOLUME 10, NUMBER 4 PHYSICAL RK VIEW LKTTKRS 15 I'EBRUARY 196)
cleon-nucleon scattering see, for example, M. L. Gold-berger, Q. T. Grisaqu, S. %'. MacDow'ell, and D. Y.Kong, Phys. Rev. 120, 2250 (1960). Other methods ofcalculating phase shifts in terms of scalar and vectorparticle exchanges have been considered by a numberof authors. See, for example, R. Bryan, C. Dismukes,and W. Ramsay (to be published).3R. Blankenbecler and M. L. Goldberger, Phys.
Rev. 126, 766 (1962); G. F. Che~ and S. C. Frautschi,
Phys. Rev. Letters 7, 394 (1961);S. Frautschi,M. Gell-Mann, and F. Zachariasen, Phys. Rev. 126,2204 (1962); D. %'ong, Phys. Rev. 126, 1220 (1962).4H. Stapp (private communication).SM. Hull, K. Lassila, H. Ruppel, F. McDonald, and
G. Breit, Phys. Rev. 122, 1606 (1961).6C. de Vries, R. Hofstadter, and R. Herman, Phys.
Rev. Letters 8, 381 (1962).7J. Ball and D. %'ong (to be published).
EVIDENCE FOR A PRIMARY COSMIC-HAY PARTICLE WITH ENERGY 10 eV~
John LinsleyLaboratory for Nuclear Science, Massachusetts Institute of Technology, Cambridge, Massachusetts
(Received 10 January 1963)
Analysis of a cosmic-ray air shower recordedat the NIT Volcano Ranch station in February1962 indicates that the total number of particlesin the shower (Serial No. 2-4834) was 5x10'0.The total energy of the primary particle whichproduced the shower was 1.0x10~ eV. The show-er was about twice the size of the largest we hadreported previously (No. 1-15832, recorded inMarch 1961).'The existence of cosmic-ray particles having
such a great energy is of importance to astrophys-ics because such particles (believed to be atomicnuclei) have very great magnetic rigidity. It isbelieved that the region in which such a particleoriginates must be large enough and possess astrong enough magnetic field so that REI» (1/300)x(E/Z), where R is the radius of the region (cm)and H is the intensity of the magnetic field (gauss).E is the total energy of the particle (eV) and Z isits charge. Recent evidence favors the choiceZ = 1 (proton primaries) for the region of highestcosmic -ray energies. ' For the pr esent event oneobtains the condition RB» 3 x 10' . This conditionis not satisfied by our galaxy (for which RH ~ 5x10", halo included) or known objects within it,such as supernovae.The technique we use has been described else-
where. ' An array of scintillation detectors isused to find the direction (from pulse times) andsize (from pulse amplitudes) of shower eventswhich satisfy a triggering requirement. In thepresent case, the direction of the shower wasnearly vertical (zenith angle 10+ 5'). The valuesof shower density registered at the various pointsof the array are shown in Fig. 1. It can be ver-ified by close inspection of the figure that thecore of the shower must have struck near the
point marked "A," assuming only (1) that showerparticles are distributed symmetrically about anaxis (the "core"), and (2) that the density of par-ticl.es decreases monotonically with increasingdistance from the axis. The observed densities
0.6
KlLOMETERS
FIG. 1. Plan of the Volcano Ranch array in February1962. The circles represent 3.3-m2 scintillation de-tectors. The numbers near the circles are the showerdensities (particles/m ) registered in this event, No.2-4834. Point A is the estimated location of theshower core. The circular contours about that pointaid in verifying the core location by inspection.
146
VOLUME 10, NUMBER 4 PHYSICAL RK VIEW LKTTKRS 15 I'EBRUARY 196)
cleon-nucleon scattering see, for example, M. L. Gold-berger, Q. T. Grisaqu, S. %'. MacDow'ell, and D. Y.Kong, Phys. Rev. 120, 2250 (1960). Other methods ofcalculating phase shifts in terms of scalar and vectorparticle exchanges have been considered by a numberof authors. See, for example, R. Bryan, C. Dismukes,and W. Ramsay (to be published).3R. Blankenbecler and M. L. Goldberger, Phys.
Rev. 126, 766 (1962); G. F. Che~ and S. C. Frautschi,
Phys. Rev. Letters 7, 394 (1961);S. Frautschi,M. Gell-Mann, and F. Zachariasen, Phys. Rev. 126,2204 (1962); D. %'ong, Phys. Rev. 126, 1220 (1962).4H. Stapp (private communication).SM. Hull, K. Lassila, H. Ruppel, F. McDonald, and
G. Breit, Phys. Rev. 122, 1606 (1961).6C. de Vries, R. Hofstadter, and R. Herman, Phys.
Rev. Letters 8, 381 (1962).7J. Ball and D. %'ong (to be published).
EVIDENCE FOR A PRIMARY COSMIC-HAY PARTICLE WITH ENERGY 10 eV~
John LinsleyLaboratory for Nuclear Science, Massachusetts Institute of Technology, Cambridge, Massachusetts
(Received 10 January 1963)
Analysis of a cosmic-ray air shower recordedat the NIT Volcano Ranch station in February1962 indicates that the total number of particlesin the shower (Serial No. 2-4834) was 5x10'0.The total energy of the primary particle whichproduced the shower was 1.0x10~ eV. The show-er was about twice the size of the largest we hadreported previously (No. 1-15832, recorded inMarch 1961).'The existence of cosmic-ray particles having
such a great energy is of importance to astrophys-ics because such particles (believed to be atomicnuclei) have very great magnetic rigidity. It isbelieved that the region in which such a particleoriginates must be large enough and possess astrong enough magnetic field so that REI» (1/300)x(E/Z), where R is the radius of the region (cm)and H is the intensity of the magnetic field (gauss).E is the total energy of the particle (eV) and Z isits charge. Recent evidence favors the choiceZ = 1 (proton primaries) for the region of highestcosmic -ray energies. ' For the pr esent event oneobtains the condition RB» 3 x 10' . This conditionis not satisfied by our galaxy (for which RH ~ 5x10", halo included) or known objects within it,such as supernovae.The technique we use has been described else-
where. ' An array of scintillation detectors isused to find the direction (from pulse times) andsize (from pulse amplitudes) of shower eventswhich satisfy a triggering requirement. In thepresent case, the direction of the shower wasnearly vertical (zenith angle 10+ 5'). The valuesof shower density registered at the various pointsof the array are shown in Fig. 1. It can be ver-ified by close inspection of the figure that thecore of the shower must have struck near the
point marked "A," assuming only (1) that showerparticles are distributed symmetrically about anaxis (the "core"), and (2) that the density of par-ticl.es decreases monotonically with increasingdistance from the axis. The observed densities
0.6
KlLOMETERS
FIG. 1. Plan of the Volcano Ranch array in February1962. The circles represent 3.3-m2 scintillation de-tectors. The numbers near the circles are the showerdensities (particles/m ) registered in this event, No.2-4834. Point A is the estimated location of theshower core. The circular contours about that pointaid in verifying the core location by inspection.
146
Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 2012
1962, 50 Years ago: The First 1020 eV Event
4
Volcano Ranch Air ShowerArray, New Mexico
particle densities
Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 2012
1965: Discovery of CMB
G. Gamow
Penzias & Wilson
Measurements @4.08 GHz (7.35 cm)
1978
5
Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 2012
1966: „End to the CR Spectrum ?“
6
Linsley‘s event
Greisen,Zatsepin & Kuz‘min
Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 2012
threshold: EpEγ > (mΔ2 - mp2)
⇒ EGZK ≈ 6·1019 eV100
101
102
103
104
1018 1019 1020 1021 1022
Ener
gy L
oss
Path
leng
th (M
pc)
Energy (eV)
Expansion
CMBRz = 0
Photopion, p
Photopair, p
Total, p
Photopair,Fe
Photopion,Fe
ePhotodisintegration, F
7
Greisen-Zatsepin-Kuz‘min (1966)
Problem 1: 1020 eV sources need to be nearby
p
CMB
p
π
A
CMB
photo-pion production
photo disintegration
➙ GZK-Horizon ~ 60 Mpc
Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 2012
Active GalacticNuclei (AGN)
LHC
GRB
AGN-Jets
SNR
Colliding Galaxies
Problem 2: Sources of 1020 eV particles
8
Neutron Stars
white dwarfts
Active Galactic Nuclei ?
jets from radioInterplanetary
Space
Galact.disk
halo
eV proton
galaxies
GalacticClusters
Size
Mag
net
ic F
ield
stre
ng
th (G
auß
)
1AU
SNR
1012
10 6
1
10 –6
1km 10 6 km 1pc 1kpc 1Mpc
IGM
10 20
{
LHC
GRB ?Emax ~ !s·z·B·L
Fe
Hillas Diagramm
Realistic constraints more severe
• small acceleration efficiency• synchrotron & adiabatic losses• interactions in source region
Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 2012
Problem 3: AnisotropiesExpect anisotropies forprotons at E>1019 eV
Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 2012
Cosmic Magnetic Fields
Halo B?
Extra-galactic B < nG ?
γ,n
weak deflection
RL = kpc Z-1 (E / EeV) (B / μG)-1
RL = Mpc Z-1 (E / EeV) (B / nG)-1
strong deflection
Milky way
B ~ μG
E > 1019eV
E < 1018eV
�(E,Z) ⇥ 0.8��
1020 eVE
⇥ ⇤L
10 Mpc
⇤Lcoh
1 Mpc
�B
1 nG
⇥· Z
UHECR Astronomy
Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 2012
Situation ~5 years agoExperiments: AGASA, HiRes, Haverah Park, Yakutsk, SUGAR
11
• does the GZK-suppression exist? - Flux data contradictory AGASA ➙ no suppression HiRes ➙ possibly a suppression• Composition mostly protons• Apparent isotropy
Apparent continuation of spectrum gavebirth to exotic source and propagation scenarios• Top Down Models
- Topological Defects, Super-Heavy Dark Matter Particles, WIMPzillas, Cryptons, ...
• Z-Burst Model ➙ massive neutrinos➙ expect EHE γ‘s and ν‘s
Energy (eV/particle)1310 1410 1510 1610 1710 1810 1910 2010
)1.
5 e
V-1
sr
-1 s
ec-2
J(E
) (m
2.5
Scal
ed fl
ux
E
1310
1410
1510
1610
1710
1810
1910
(GeV)ppsEquivalent c.m. energy 210 310 410 510 610
RHIC (p-p)-p)aHERA (
Tevatron (p-p)LHC (p-p)
ATICPROTONRUNJOB
KASCADE (QGSJET 01)KASCADE (SIBYLL 2.1)KASCADE-Grande (prel.)Akeno
HiRes-MIA
HiRes I
HiRes II
AGASA
AGASA
HIRES
Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 2012
A New Generation: Hybrid Observation of EAS
12
Particle-density and-composition at ground
light traceat night-sky(calorimetric)
Also:Detection of Radio- & Microwave-Signals
Fluorescence light
Pioneered by the Pierre Auger Collaboration(physics data taking started 01/2004)
Telescope Array follows same concept (data taking since 12/2007)
Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 2012
Pierre Auger Observatory
13
3000 km2
~65 km
~65 k
m
CoihuecoHEAT
BLS
CLF
XLF
Loma Amarilla
Los Morados
Los Leones
1660 detector stationson 1.5 km grid
27 fluores. telescopesat periphery
160 radio antennas...
Southern hemisphere: Argentina
Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 2012
Telescope Array (TA)
14Northern hemisphere: Utah, USA
~30
km 507 SDs cover 680 km2
3 FD stations
Utah, USA39.3 0 N112.9 0 WAlt. 1400 m
- Central Laser - Lidar, IR camera
- Electron Light Source
Calibration Facilities
507 surface detectors: double-layer scintillators (grid of 1.2 km, 680 km2)
3 fluorescence detectors(2 new, one station HiRes II)
Middle Drum: based on HiRes II
ELS Operation
LIDARLaser facility
FD ObservationSep.3rd.2010 Beam Shot into the Sky, and Observed by FD
Event Display of ELS Shower Data : Sep.5th .2010. AM04:30(UTC)
Energy : 41.1MeV
Charge : 50pC/pulse
����
Beam Operation : Sep.2nd -4th
Beam shot into the Sky : Sep. 3rd and 4th
# of Shot into the Sky�1800 pulses
Output power = 41.4MeV�40�140pC/pulse�0.5Hz
��� ��� ���
Electron light source (ELS): ~40 MeV
Infill array and highelevation telescopesunder construction
Test setup forradar reflection
Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 2012
The UHECR Hybrid Generation
15
same scale
3000 km2700 km2
Pierre Auger Observatory
Telescope Array
Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 201216
Event Example in Auger Observatory
12 km
~ 20 km
OBSERVATORY
Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 201217
Event Example in Auger Observatory
12 km
~ 20 km
E = 68 EeVXmax=770 g/cm2
dE/
dx
(PeV
/g c
m2 )
Slant Depth (g cm2)
0
40
400 600 800 1000 2000
80
120
160Longitudinal Profile
Lateral Profile
1000
S(1000)
S(1000)=222 VEM! = 54°S38=343 VEME = 71 EeV
10
100
1000
Sign
al (V
EM)
Distance to Shower Core (m)
12000 3000
Cross Correlation
839 events
most energetic event at 75 EeV OBSERVATORY
Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 2012
2008: Unambigiuous Detection of Flux Suppression
18
Energy (eV/particle)1310 1410 1510 1610 1710 1810 1910 2010
)1.
5 e
V-1
sr
-1 s
-2 J
(E)
(m2.
5Sc
aled
flux
E
1310
1410
1510
1610
1710
1810
1910
(GeV)ppsEquivalent c.m. energy 210 310 410 510 610
RHIC (p-p)-p)HERA (
Tevatron (p-p) 14 TeV7 TeVLHC (p-p)
ATICPROTONRUNJOB
KASCADE (QGSJET 01)KASCADE (SIBYLL 2.1)KASCADE-Grande 2009Tibet ASg (SIBYLL 2.1)
HiRes-MIAHiRes IHiRes IIAuger 2011TA 2011 (prelim.)
Abbasi (HiRes), PRL 100 (2008)Abraham (Auger), PRL 101(2008)
Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 2012
Comparison of Experiments
19
EPJ Web of Conferences
HiRes Auger TA
Photometric calibration 10% 9.5% 10%Fluorescence Yield 6% 14% 11%Atmosphere 5% 8% 11%Reconstruction 15% 10% 10%Invisible Energy 5% 4% incl. above
TOTAL 17% 22% 21%
Table 2. Estimates of contributions to systematic uncertainties in the fluorescence energy scale, for HiRes [8],Auger [11] and the Telescope Array [3]. The total is the sum of the uncertainties in quadrature.
at the median zenith angle of 38� [11]. This parameter is then related to the primary energy usingfluorescence observations of a subset of showers, taking advantage of a near-calorimetric fluorescenceenergy determination. In these ways, the energy assignment is nearly free of simulations, with theexception being in the estimation of a small (of order 10%, see below) correction for invisible energy,that part of the primary energy carried into the ground by neutrinos and high-energy muons that doesnot result in full fluorescence emission.
The Telescope Array SD analysis methods are broadly similar to that of AGASA [5], with theground array energy parameter being S (800), the scintillator signal at 800 m from the core. TA usessimulations to determine the change in S (800) as a function of shower zenith angle at fixed energy.The first energy estimate ESD from S (800) is rescaled by using the average FD-SD energy scale ratioobtained from hybrid events, as E = hEFD/ESDih ESD, where hEFD/ESDih = 1/1.27 [2,12]. The use ofMC simulations is to account for any changes in the attenuation function with energy, given that theCIC method is best applied at lower energy where the statistical uncertainties are smaller. On the otherhand, the simulation route is subject to uncertainties in both the choice of hadronic model and the masscomposition assumption. (The Auger collaboration has applied the CIC method with increasing cutson energy in an attempt to see any changes in the assumed attenuation with zenith angle, but so far nosignificant change has been detected.)
Auger and the Telescope Array both take great care in determining the energy scale of fluorescencemeasurements, as this is the basis of the energy measurements for both hybrid and SD spectra. Whilethe fluorescence technique is conceptually elegant, with the amount of light produced being directlyproportional to the energy deposited by the shower in the atmosphere, there are practical challenges.Some of these are expressed through estimates of the systematic uncertainties related to the energyscale, listed in Table 2 for the two experiments and for HiRes. Photometric calibration refers to the ab-solute calibration of the telescopes and photomultipliers, and their wavelength response; uncertaintiesin the fluorescence yield include those on the absolute e�ciency, its wavelength dependence, and itsdependence on pressure, temperature and humidity; atmospheric uncertainties include those relatingto Rayleigh and aerosol scattering; reconstruction uncertainties are mainly related to the e�ciency oflight collection in the telescope cameras; and the invisible energy uncertainties are based on lack ofknowledge of the true mass composition and on the spread of predictions of invisible energy by di↵er-ent hadronic models. The total systematic uncertainty on the fluorescence energy is of order 20% forthe three experiments.
We will return to aspects of the fluorescence energy scale after examining the level of agreementbetween the published energy spectra.
4 Comparing Energy Scales
The WG undertook an exercise to see if the various spectra could be brought into better agreementthrough a simple scaling of the energy scale. This assumes that any current disagreement is basedsolely on the energy scale, and not on other factors such as aperture calculation or the treatment ofenergy resolution, but we believe that the results are informative. As input to the calculation we took
UHECR2012 Symposium
(E/eV)10
log18 18.5 19 19.5 20 20.5
))2 e
V-1
sr-1
s-2
J /(m
3( E
10lo
g
22.622.8
2323.223.423.623.8
2424.224.424.624.8
E[eV]1810×2 1910 1910×2 2010 2010×2
1.102 )×Auger (ICRC 2011) (E
0.906 )×Telescope Array (E
0.561 )×Yakutsk (E
0.911 )×HiRes I (E
0.903 )×HiRes II (E
Fig. 6. Re-scaled spectra from Figure 5, but in the form E3 J
/eV)A
(E10
log18.3 18.4 18.5 18.6 18.7 18.8 18.9 19 19.119.2 19.30
1
2
3
4
5
Yakutsk
HiRes
Auger
TA
/eV)S
(E10
log19 19.119.2 19.3 19.4 19.5 19.6 19.7 19.8 19.9 200
1
2
3
4
5
Fig. 7. Break-point energies for the triple-power law fits after energy rescaling, to be compared with the orig-inal positions in Figure 4. The error bars again represent the statistical uncertainty folded with the systematicuncertainty in the energy scale for each experiment. The reference spectrum is the average of Auger and TA.
4.1 Analysis & Calibration Differences
The comparisons of spectra in the previous section suggest that a simple rescaling of energy can bringthe results into agreement. In the case of the Yakutsk/TA and Yakutsk/Auger comparisons the requiredrescaling is somewhat outside that allowed by the known systematic uncertainties, but Auger/TArescaling is perfectly consistent with the 22% and 21% energy scale systematics of Auger and TArespectively (Table 2). In this section we concentrate on some di↵erences in the analysis methods ofAuger and TA relevant to the energy scale.
Auger-TA-HiRes-YakutskWorking group @ UHECR2012to appear in EPJ (web of conf)
global shifts to energy scale by ±10%➙ perfect agreement (except for Yakutsk)
well allowed for by error budgets
Syst. uncertainty on E-scale
Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 2012
New Measurement of Fluorescence Yield
20
[photons/MeV]337Y3 4 5 6 7 8 9 10
Kakimoto et al. [5]
Nagano et al. [6]
FLASH Coll. [7]
AIRFLY Coll.this measurement
MACFLY Coll. [8]
Lefeuvre et al. [9]
Waldenmaier et al. [10]
Fig. 10. Experimental results on Y337. For some experiments, the fluorescence yieldof the 337 nm band is derived from the integrated yield measured between ⇡ 300to 400 nm (see text for details).
fluorescence yield currently available. These measurements have direct im-plications for UHECR experiments which employ Fluorescence Detectors todetermine the cosmic ray energy. For example, the absolute fluorescence yieldof the 337 nm band reported here is 11% and 30% larger than that currentlyadopted by the Pierre Auger Observatory [17] [35] and by the Telescope Ar-ray [18] [36], respectively. While the actual e↵ect on the UHECR energy spec-trum also depends on the specific fluorescence spectrum adopted by these ex-periments, a downward shift of the energy scale by at least ⇡ 10% is impliedby the AIRFLY result. At the same time, the uncertainty on the energy scaleassociated to the fluorescence yield, currently a major contribution [17] [18],will be reduced by a factor of about three.
In principle, the experimental methods developed by AIRFLY could be fur-ther refined to improve the precision of the fluorescence yield. In particular,the 5% systematic uncertainty of the laser energy probe - the main systematicof the pulsed laser calibration method - may be reduced, or a continuous laserabsolutely calibrated to 1-2% could be employed. However, the uncertainty onthe energy scale of UHECR experiments is likely to be dominated by othercontributions, including the absolute calibration of the fluorescence telescopesand the knowledge of the atmosphere. Thus, we expect the absolute fluores-cence yield measured by AIRFLY to remain a reference for the current andnext generation of UHECR experiments.
31
AirFly 2012 final(Ave et al., arXiv:1210.6734)
used by TA and HiRes
used by Auger
Y337 = 5.61 ± 0.06stat ± 0.21syst (now with only 4% uncertainty!)
This will almost eliminate the difference between Auger and TA/HiRes!
Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 201221
OBSERVATORY
Energy (eV/particle)1310 1410 1510 1610 1710 1810 1910 2010
)1.
5 e
V-1
sr
-1 s
-2 J
(E)
(m2.
5Sc
aled
flux
E
1310
1410
1510
1610
1710
1810
1910
(GeV)ppsEquivalent c.m. energy 210 310 410 510 610
RHIC (p-p)-p)HERA (
Tevatron (p-p) 14 TeV7 TeVLHC (p-p)
ATICPROTONRUNJOB
KASCADE (QGSJET 01)KASCADE (SIBYLL 2.1)KASCADE-Grande 2009Tibet ASg (SIBYLL 2.1)
HiRes-MIAHiRes IHiRes IIAuger 2011TA 2011 (prelim.)
Energy (eV)
E3 J(E)
(km
–2 y
r–1 sr
–1 e
V2 )
log(E/eV)18
1018
1037
1038
1019 1020
19 2018.5 19.5 20.5
!1=3.27±0.01!1=2.63±0.02
log(Eankle)=18.62±0.01
Ȥ2/ndf=33.7/16=2.3
log(Ecut-o")= 19.63±0.02
Is this the GZK-effect... ?
Flux Suppression in Detail
also: absence of HE
ν‘s and γ‘s (would be expectedif spectrum showed no cut-off)
Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 201222
Energy (eV/particle)1310 1410 1510 1610 1710 1810 1910 2010
)1.
5 e
V-1
sr
-1 s
-2 J
(E)
(m2.
5Sc
aled
flux
E
1310
1410
1510
1610
1710
1810
1910
(GeV)ppsEquivalent c.m. energy 210 310 410 510 610
RHIC (p-p)-p)HERA (
Tevatron (p-p) 14 TeV7 TeVLHC (p-p)
ATICPROTONRUNJOB
KASCADE (QGSJET 01)KASCADE (SIBYLL 2.1)KASCADE-Grande 2009Tibet ASg (SIBYLL 2.1)
HiRes-MIAHiRes IHiRes IIAuger 2011TA 2011 (prelim.) ... or the limiting
energy of sources ?
Protons Emax,p = 1018.4 eV Iron Emax, Fe = 26 Emax,p
= 1020 eV
(Allard, APP 39-40, 2012)
Expect to see heaviercomposition at high energy !
However, astrophysicallyvery exotic result !!(dN/dEsource ~ E-1.6 )
Flux Suppression in Detail
Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 201223
The Astrophysical Journal, 746:72 (5pp), 2012 February 10 Biermann & de Souza
measured. Today it is possible to compare the predictions withhigh-precision data over the entire energy range. Therefore, itbecomes important to have predictive power, i.e., to test quan-titative hypotheses which were developed long before much ofthe new data were known.
We revisit here an idea originally proposed in 1993 (Biermann1993; Biermann & Cassinelli 1993; Biermann & Strom 1993;Stanev et al. 1993) and we show how our Galaxy and the radiogalaxy Cen A can describe the energy spectrum from 10 PeVup to 3 ! 1020 eV and describe the Galactic to extragalactictransition at the same time.
In the following sections, we first go through the tests the1993 original model has undergone to date as regards spectra,transport, secondaries, and composition; second, we confirmthe predictions of the original model with the newly availabledata beyond the knee energy, and finally we present the high-energy model which describes the transition between Galacticand extragalactic cosmic rays.
2. ORIGINAL MODEL AND ITS TESTS TO DATE
In a series of papers started in 1993 (Biermann 1993;Biermann & Cassinelli 1993; Biermann & Strom 1993; Stanevet al. 1993; Biermann 1994) an astrophysics scenario wasproposed which emphasized the topology of the magnetic fieldsin the winds of exploding massive stars (Parker 1958). In Stanevet al. (1993), a comprehensive spectrum was predicted forsix element groups separately: H, He, CNO, Ne–S, Mn–Cl,and Fe. The key points of this original model are as follows.(1) The shock acceleration happens in a region which ishighly unstable and shows substructure, detectable in radiopolarization observation of the shock region, which is alsofound in theoretical explorations (e.g., Bell & Lucek 2001;Caprioli et al. 2010; Bykov et al. 2011). Therefore, the particlesgo back and forth across the shock gaining momentum, whilethe scattering on both sides is dominated by the scale of theseinstabilities, which are assumed to be given by the limit allowedby the conservation laws of mass and momentum. (2) There arecosmic-ray particles which get accelerated by a shock in theISM, produced by the explosion of a relatively modest high-mass star or, alternatively, by a low-mass SN Ia. This is mostrelevant for hydrogen and less so for helium and heavier nuclei.(3) Heavy cosmic-ray nuclei derive from very massive stars,which explode into stellar winds already depleted in hydrogen,and also in helium for the most massive stars. These explosionsproduce a two-part spectrum with a bend that is proposed toexplain the knee. In this scenario, the knee is due to the finitecontainment of particles in the magnetic field of the predecessorstellar wind, which runs as sin !/r in polar coordinates (Parker1958). Toward the pole region only lower energies are possibleand the knee energy itself is given by the space available in thepolar region. There is a polar cap component of cosmic raysassociated with the polar radial field with a flatter spectrum. (4)Diffusive leakage from the cosmic-ray disk steepens all thesespectra by 1/3 for the observer. (5) Very massive stars ejectmost of their zero-age mass before they explode and so form avery massive shell around their wind (Woosley et al. 2002). Thiswind shell is the site of most interaction for the heavy nucleicomponent of cosmic rays. For stellar masses above about 25solar masses in zero-age main-sequence mass (Biermann 1994),the magnetic irregularity spectrum is excited by the cosmic-ray particles themselves. The spectral steepening due to theinteractions is E"5/9 for the most massive star shells.
E (eV/nucleus)
1510 1610 1710 1810 1910 2010
)-2
eV
-1 s
r-1
s-2
x d
N/d
E (m
3E
2310
2410
Sum
HHe
Ne-SCNO
Fe
Cl-Mn
-1.22.4-1.5
0.62.0
1.8
KASCADE QGSJetKASCADE Sibyll
KASCADE GrandeAuger
Figure 1. Energy spectrum calculated with this model compared to thedata from KASCADE (KASCADE Collaboration 2009), KASCADE-Grande(KASCADE-Grande Collaboration 2010), and Pierre Auger Observatory(Pierre Auger Collaboration 2010a). The numbers in the upper part of the figureshow the error of the model defined as (Model " Data)/(Experimental Error).The shape of the six element spectra from the Galactic and the extragalacticcomponent is the same by the model assumption.(A color version of this figure is available in the online journal.)
The final spectrum is a composite of these components; seeFigure 1 of Stanev et al. (1993). The spectra predicted by thesearguments match the data such as shown by the recent CosmicRay Energetics And Mass (CREAM) results (Wiebel-Soothet al. 1998; Biermann et al. 2009). This scenario has undergonedetailed tests as regards propagation and interactions (Biermann1994; Biermann et al. 2009) so as to describe both Galacticpropagation and the spectra of the spallated isotopes as well asthe resulting positron spectra, the flatter cosmic-ray positron andelectron data, the Wilkinson Microwave Anisotropy Probe hazeand the spectral behavior of its inverse Compton emission, andthe 511 keV emission from the Galactic center region. NewTransition Radiation Array for Cosmic Energetic Radiation(TRACER) results (Obermeier 2011) are also consistent interms of (1) the low-energy source spectrum, (2) the energydependence of interaction, (3) a finite residual path length athigher energy, and (4) a general upturn in the individual elementspectra. The newest Pamela results (Adriani et al. 2011) are alsoconsistent with the 1993 original model in which hydrogenwas the only element to have a strong ISM–SN cosmic-raycomponent, and so has a steeper spectrum than helium.
2.1. A Test Beyond the Knee
This original model was proposed to explain the particlesobserved above 109 eV per nuclear charge. Here we first testthe original model with the KASCADE data. The most accuratemeasurement of the energy spectrum in the knee energy rangehas been done by the KASCADE experiment (KASCADE-Grande Collaboration 2010). Figure 1 shows for the first timethe comparison of the original model to the measured datafrom KASCADE. KASCADE reconstructs the spectrum usingtwo hadronic interaction programs (QGSJet and Sibyll) in theanalysis procedure. In the figure we show the data and theoriginal model, and also include the ratio of the differencebetween original model and data divided by the experimentalerror. For the ratio shown we use only one of these interactioncodes; as an example we use QGSJet. The figure shows goodagreement between data and the original model to within the
2
Biermann & de Souza, ApJ 746 (2012)Cen A as extragalactic source above the knee
Rigidity Effect established at „Knee“
electron-rich sample
all-particle (104489 events)electron-poor sample
1020
dI/d
E x
E2.7 (m
-2sr
-1s-1
eV1.
7 )
log10(E/eV)16 16.5 1817 17.5
= -2.95 0.05
= -3.24 0.08 = -2.76 0.02
= -3.24 0.05
KASCADE-Grande
= -3.18 0.01
10 eV17 10 eV18
1019
KASCADE-Grande, PRL
107 (2011) 171104
Fe-Knee
Limiting energy ofgalactic sources
Limiting energy ofextragalactic sources?
]2slant depth [g/cm200 400 600 800 1000 1200 1400 1600
)]2 e
nerg
y de
posi
t [Pe
V/(g
/cm
0
10
20
30
40
50 Auger event
Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 2012
Longitudinal Shower Development ➙ Primary Mass
24
OBSERVATORY
Example of a 3·1019 eV EAS event
KHK, Unger, APP 35 (2012)EPOS 1.99 Simulations
Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 201225
NS61CH19-Engel ARI 15 September 2011 8:38
200 300 400 500 600 700 800 900 1,0000
1
2
3
4
5
6
7
8a
1018 101910
20
30
40
50
60
70 Proton
Iron
bN
umbe
r of c
harg
ed p
artic
les (
! 10
9 )
Slant depth (g cm–2) E (eV)
IronProton!-rayAugershower
RMS(
X max
) (g
cm–2
)
QGSJET 01QGSJET IISIBYLL 2.1EPOS v1.99
Figure 8(a) Longitudinal shower profiles of 10 proton-, iron-, and photon-induced showers of 1019 eV, simulatedwith SIBYLL. The data points correspond to one shower of approximately the same energy that wasmeasured by the Pierre Auger Observatory (82). (b) Shower-to-shower fluctuations of the depth of theshower maximum. Shown are predictions of different models and Pierre Auger data (18).
muons in showers but also leads to a wider lateral distribution of EM particles and muons because ofthe larger transverse momentum with which baryons are produced. Unfortunately, the physics ofbaryon pair production is not well understood, and more data are needed to constrain the models.
4.2. Longitudinal Shower ProfileFigure 8a shows the longitudinal profile of charged particles for 10 individual showers of proton,iron, and photon primaries. The profiles of proton showers exhibit larger fluctuations than dothose of iron, as is expected from the greater interaction length of protons in air compared withiron. Photon-induced showers have the greatest depth of maximum. Both the mean depth of theshower maximum !Xmax" and the shower-to-shower fluctuations of Xmax are composition-sensitiveobservables that can be measured with optical detectors such as Cherenkov arrays and fluorescencetelescopes (70).
Model predictions of the fluctuations of Xmax and recent data from the Pierre Auger Observa-tory (18) are shown in Figure 8b. With respect to the interaction models studied here, the PierreAuger data show the trend from a predominantly light or mixed composition of cosmic rays at1018 eV to a heavier elemental composition at higher energy. On the basis of Xmax fluctuationsalone, a light composition cannot be distinguished from a mixed one because a mixture of elementscan lead to fluctuations similar to those expected for protons (83).
Figure 9 presents a compilation of results for the mean depth of the shower maximum ofcosmic-ray experiments. Given the extrapolation of hadronic interaction properties needed tosimulate showers at the highest energies, it is very encouraging that the model simulations bracketthe shower measurements. The model results agree with the predictions of the superpositionmodel, !ln A" # De (ln E $ ln A); the parameter De is discussed below. However, the absolutevalue of the mean depth of the proton showers is subject to large theoretical uncertainties. Theseuncertainties also apply to iron showers, but at an energy that is 56 times higher. For comparison,the predictions for photon showers are also shown in Figure 9. The results of the simulation
www.annualreviews.org • Air Showers and Hadronic Interactions 479
Ann
u. R
ev. N
ucl.
Part.
Sci
. 201
1.61
:467
-489
. Dow
nloa
ded
from
ww
w.a
nnua
lrevi
ews.o
rgby
87.
177.
167.
240
on 1
0/28
/11.
For
per
sona
l use
onl
y.
Xmax
Position of Xmax canbe measured using fluorescence telescopes;
〈Xmax〉 and
RMS(Xmax)
➙ primary mass
OBSERVATORY
Ironproton
γ-ray
Augerevent
Longitudinal Shower Development ➙ Primary Mass
Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 2012
Much debated: Auger vs HiRes
26
E [eV]1810 1910
]2>
[g/c
mm
ax<X
650
700
750
800
850
14071251
998 781619 457 331 230 188 143
186 106 47
EPOSv1.99p
Fe
QGSJET01 p
Fe
SIBYLL2.1p
Fe
QGSJETII
p
Fe
EPOSv1.99p
Fe
QGSJET01 p
Fe
SIBYLL2.1p
Fe
QGSJETII
p
Fe
E [eV]1810 1910
]2) [
g/cm
max
RM
S(X
0
10
20
30
40
50
60
70
14071251
998 781 619457
331
230 188
143 186
10647
p
Fe
p
Fe
p
Fe
p
Fe
p
Fe
p
Fe
p
Fe
p
Fe
OBSERVATORY
Auger Collab. PRL 104, 2010, updated: Facal, ICRC 2011
light
light
heavy
heavy
Sys. uncertainty: 13 g/cm2
Sys. uncertainty: 6 g/cm2
OBSERVATORY
EPJ Web of Conferences
The same holds true for the measurements of the shower-to-shower fluctuations, whereboth experiments corrected the measurements for the detector resolution. The lines indicatethe predictions from air shower simulations for proton and iron compositions. There aredifferent line types corresponding to different high energy hadronic interaction models:QGSJet-01, QGSJet-II, SIBYLL2.1 and EPOSv1.99.
E [eV]1810 1910
]2 [g
/cm
〉m
eas
max
X〈
650
700
750
800
850
proton
iron
QGSJet01QGSJetIISIBYLL2.1
E [eV]1910
]2 [g
/cm
Xσ
0
10
20
30
40
50
60
70 QGSJetIIproton
iron
Fig. 4. The hX
measmax i (left) and RMS(Xmax) (right) as measured by the HiRes experiment. The lines are
the corresponding hX
measmax i and s
X
expectations for proton and iron compositions. The different linetypes correspond to different models.
E [eV]1810 1910
]2 [g
/cm
〉m
eas
max
X〈
650
700
750
800
850QGSJet01QGSJetIISIBYLL2.1
proton
iron
Fig. 5. The hX
measmax i measured by the TA experi-
ment. The lines are the corresponding hX
measmax i ex-
pectations for proton and iron primaries. The dif-ferent line types correspond to different models.
lg(E [eV])18.5 19 19.5 20
Num
ber o
f Eve
nts
1
10
210
310
lg(E[eV]) > 18.2 HiRes (798 events)TA (279 events)Auger (5138 events)Yakutsk (412 events)
Fig. 6. Number of events that survived the se-lection cuts as a function of energy. For thisplot the energies have been normalized to theTA energy scale.
The HiRes collaboration chooses a fluctuation estimator that differs from the one pub-lished by Auger and Yakutsk. Whereas the latter use simply the standard deviation (denotedby RMS(Xmax)), HiRes uses the width of an unbinned likelihood fit with a Gaussian to thedistribution truncated at 2 ⇥ RMS, denoted by s
X
.Fig. 4 shows the hX
measmax i and s
X
as measured by HiRes. The lines are the correspondinghX
measmax i and s
X
expectations for proton and iron compositions. The different line typescorrespond to different models (QGSJet-01, QGSJet-II, SIBYLL2.1).
Fig. 5 shows the corresponding hX
measmax i observation and expectation for the TA experi-
ment. Currently the TA experiment does not have enough statistics to quantify the width ofthe Xmax distributions at the highest energies.
Fig. 6 shows the energy distributions and total number of events that survived the selec-tion cuts at each experiment. For this Figure, the energy scales have been normalized to theTA energy scale. A summary of Figure 6 is shown in Table 1.
The hXmaxi measurements from Yakutsk (Fig. 3), HiRes (Fig. 4) and TA (Fig. 5) experi-ments are consistent with the QGSJet predictions for a constant proton composition at all
EPJ Web of Conferences
The same holds true for the measurements of the shower-to-shower fluctuations, whereboth experiments corrected the measurements for the detector resolution. The lines indicatethe predictions from air shower simulations for proton and iron compositions. There aredifferent line types corresponding to different high energy hadronic interaction models:QGSJet-01, QGSJet-II, SIBYLL2.1 and EPOSv1.99.
E [eV]1810 1910
]2 [g
/cm
〉m
eas
max
X〈
650
700
750
800
850
proton
iron
QGSJet01QGSJetIISIBYLL2.1
E [eV]1910
]2 [g
/cm
Xσ
0
10
20
30
40
50
60
70 QGSJetIIproton
iron
Fig. 4. The hX
measmax i (left) and RMS(Xmax) (right) as measured by the HiRes experiment. The lines are
the corresponding hX
measmax i and s
X
expectations for proton and iron compositions. The different linetypes correspond to different models.
E [eV]1810 1910
]2 [g
/cm
〉m
eas
max
X〈
650
700
750
800
850QGSJet01QGSJetIISIBYLL2.1
proton
iron
Fig. 5. The hX
measmax i measured by the TA experi-
ment. The lines are the corresponding hX
measmax i ex-
pectations for proton and iron primaries. The dif-ferent line types correspond to different models.
lg(E [eV])18.5 19 19.5 20
Num
ber o
f Eve
nts
1
10
210
310
lg(E[eV]) > 18.2 HiRes (798 events)TA (279 events)Auger (5138 events)Yakutsk (412 events)
Fig. 6. Number of events that survived the se-lection cuts as a function of energy. For thisplot the energies have been normalized to theTA energy scale.
The HiRes collaboration chooses a fluctuation estimator that differs from the one pub-lished by Auger and Yakutsk. Whereas the latter use simply the standard deviation (denotedby RMS(Xmax)), HiRes uses the width of an unbinned likelihood fit with a Gaussian to thedistribution truncated at 2 ⇥ RMS, denoted by s
X
.Fig. 4 shows the hX
measmax i and s
X
as measured by HiRes. The lines are the correspondinghX
measmax i and s
X
expectations for proton and iron compositions. The different line typescorrespond to different models (QGSJet-01, QGSJet-II, SIBYLL2.1).
Fig. 5 shows the corresponding hX
measmax i observation and expectation for the TA experi-
ment. Currently the TA experiment does not have enough statistics to quantify the width ofthe Xmax distributions at the highest energies.
Fig. 6 shows the energy distributions and total number of events that survived the selec-tion cuts at each experiment. For this Figure, the energy scales have been normalized to theTA energy scale. A summary of Figure 6 is shown in Table 1.
The hXmaxi measurements from Yakutsk (Fig. 3), HiRes (Fig. 4) and TA (Fig. 5) experi-ments are consistent with the QGSJet predictions for a constant proton composition at all
HiRes Collab.,Nucl. Phys. Proc. Suppl. 212-213 (2011) 74
Sys. uncertainty: 30 g/cm2
lg(E/eV)17 17.5 18 18.5 19 19.5
〉lnA
〈
0
2
Auger
lg(E/eV)17 17.5 18 18.5 19 19.5
〉lnA
〈
0
2
HiRes
lg(E/eV)17 17.5 18 18.5 19 19.5
〉lnA
〈
0
2
TA
lg(E/eV)17 17.5 18 18.5 19 19.5
〉lnA
〈
0
2
Yakutsk
lg(E/eV)17 17.5 18 18.5 19 19.5
0
2
Auger
lg(E/eV)17 17.5 18 18.5 19 19.5
0
2
HiRes
lg(E/eV)17 17.5 18 18.5 19 19.5
0
2
TA
lg(E/eV)17 17.5 18 18.5 19 19.5
0
2
Yakutsk
Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 2012
⟨ lnA ⟩ as a fct of Energy
27
fit to constant compos. allowing a break
χ2/dof = 133/10 χ2/dof = 7.4/9
= 4.4/7 = 1.2/6
= 9.8/7 = 3.4/6
= 7.7/7 = 4.2/8
1. All experiments prefer an increasing mass2. Due to statistics, all but Auger are consistent
with a constant composition3. Absolute scale differs, needs further study
Auger-TA-HiRes-YakutskWorking group @ UHECR2012to appear in EPJ (web of conf)
Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 201228
E [eV]1510 1610 1710 1810 1910 2010
〉ln
A〈
-1
0
1
2
3
4
p
He
N
Fe
A more global view on composition
EPOS 1.99 Kampert, Unger APP 35:660 (2012)
knee
2nd knee
ankle
Author's personal copy
Particle detectors usually do not publish air shower observablesbut directly the interpretation in terms of elementary fractions,and in that case only the differences between models with whichthe data were analyzed can be used for a limited estimate of thetheoretical uncertainties. Results that were obtained with out-da-ted interaction models like e.g. the AGASA measurements [159]will be ignored in the following. Since usually only fractions of ele-mental groups are quoted it is not obvious which value of lnAi toassign in Eq. (29). To translate the data from Tibet AS c [89] intohln Ai, we assume equal fluxes of protons and helium and assignto ‘heavy’ fragments A = 32. However, we note that the chosen pro-cedure of comparing fluxes from different measurement cam-paigns with different event selection and energy calibration mayintroduce additional systematic uncertainties particularly in viewof the steep power-law spectra involved, which we can not accountfor here. For KASCADE-Grande [92], where the intermediate massgroup is composed of He, C, and Si, we again assume equal fluxesand take the logarithmic mean of A ’ 12. For data that were ana-lyzed in a simple bimodal proton/iron model like [101,99] the hlnAi calculation is technically easy, but it is difficult to assess the sys-tematic uncertainty arising from this simplified model. Data fromEAS-TOP are based on electrons and GeV muons [160] as measuredin the calorimeter at the surface as well as on electrons and TeV-muons, the latter measured in MACRO [81]. Of all the experimentalparticle detector results studied here, only Auger published themeasured air shower observables rather than their interpretation.Since the average muon production depth and the rise time asym-
metries are well correlated with Xmax we assume that they also de-pend linearly on hlnAi and can therefore use the air showersimulations folded with the detector response from [117,110] toestimate hlnAi from the equivalent of Eq. (30) for these variables.
The resulting energy evolution of hlnAi as derived from particledetector data is displayed in Fig. 14 for different hadronic interac-tion models. The upper and lower experimental boundaries fromoptical detectors are indicated by the superimposed lines. As canbe seen, the systematic differences between experimental resultsat low energies are considerably larger than in the case of opticaldetectors spanning a range of up to Dhln Ai ! ± 1. Nevertheless,all experiments below 1017 eV report a rise of hlnAi with energythat could be reconciled with the hXmaxi results by an appropriaterescaling. In the energy region toward the ankle, surface detectordata are sparse. The Haverah Park results tend towards a lightercomposition at 1018 eV, though with large statistical uncertainties.At ultra-high energies only the surface detector data from Augerare available for an interpretation with modern hadronic interac-tion models. For both simulations, using QGSJETII and SIBYLL2.1, thesedata are compatible with an increase of hlnAi above 1019 eV.
4. Search for neutral primaries
Measurements of neutral primaries, i.e. neutrons, photons, andneutrinos provide additional crucial information about the acceler-ation models and sources of cosmic rays as well as on their propa-gation through the universe. Unlike charged cosmic rays they are
E [eV]1510 1610 1710 1810 1910 2010
!ln
A"
-1
0
1
2
3
4
p
He
N
FeTA, preliminaryHiResHiRes/MIACASA-BLANCAYakutskTunkaAuger
E [eV]1510 1610 1710 1810 1910 2010
!ln
A"
-1
0
1
2
3
4
p
He
N
Fe
E [eV]1510 1610 1710 1810 1910 2010
!ln
A"
-1
0
1
2
3
4
p
He
N
Fe
E [eV]1510 1610 1710 1810 1910 2010
!ln
A"
-1
0
1
2
3
4
p
He
N
Fe
Fig. 13. Average logarithmic mass of cosmic ray as a function of energy derived from Xmax measurements with optical detectors for different hadronic interaction models.Lines are estimates on the experimental systematics, i.e. upper and lower boundaries of the data presented.
672 K.-H. Kampert, M. Unger / Astroparticle Physics 35 (2012) 660–678
Epmax,g~3·1015 eV Ep
max,EG~4·1018 eV ?
Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 201229
(Auger) Data suggestthat we may see the exhaustion of sources
Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 2012
Large Scale Anisotropies
30
Auger Collaboration: ApJL, 762, L13 (2012), ApJS 203,34 (2012)
E [EeV]1 10
Upp
er L
imit
- Dip
ole
Ampl
itude
-210
-110
1
Z=1Z=26
E [EeV]1 10
+!Up
per L
imit
- Am
plitu
de
-210
-110
1
Z=1Z=26
Dipole Amplitudes Quadrupole Amplitudes
Z=1Z=1
Z=26 Z=26
datadata
expectations from stationary galactic sources distributed in the disk
light CR component cannot originate fromstationary sources in the galactic disk
Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 2012
Neutron Astronomyddecay = 9.2 kpc ⨉ E (EeV)➙ above 2 EeV see most of galactic diskproduced more efficiently than γ‘s from π0: • pUHECR+penv ➙ nUHECR + penv + π+ (n takes most of energy)" • pUHECR+penv ➙ pUHECR + penv + π0 (π0 takes small energy only)
31
➙ galactic TeV sources should plausibly produce neutronsenergy flux of some γ sources exceeds1 eV/cm2/s at Earth➙ assuming E-2 spectrum expect also1 eV/cm2/s @ EeV energyupper limits of neutrons further downby more than a factor of 10!
log
(F)
log (E)
E-2
TeV PeV EeV
1 eV/cm 2/s
<0.1 eV/cm2/s
Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 2012
Neutrons Upper Limit Sky-Maps
32
Fig. 4.— Celestial maps of the flux upper limit (particleskm2yr
) in Galactic coordinates.
6. Summary and discussion259
The blind search for a flux of neutral particles using the Auger SD data set finds no260
candidate point on the sky that stands out among the large number of trial targets. Upper261
limits have been calculated for all parts of the sky using four di↵erent energy ranges. Three262
of those ranges are independent data sets and the fourth is the combination of the other263
three. These upper limits pertain to neutrons, with systematic uncertainties as discussed in264
Section 4. (The methods used in this paper are less sensitive to photons.)265
The upper limits are generally more stringent where the directional exposure is266
relatively high, but they are strong enough to be of considerable astrophysical interest in267
all parts of the exposed sky. Above 1 EeV, the typical (median) flux upper limit is 0.0114268
25
1-2 EeV 2-3 EeV
>1 EeV >3 EeV
Auger Collaboration, ApJ, 760, 148 (2012)
if hadronic galactic sources with E-2
spectrum up to EeV, we would have seen them
Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 2012
0180360
33
event direction
AGN position(3.1° circle)
Astropart. Phys. 34 (2010) 314
Telescope Array:11/25 = 44%with iso-bkg = 24%➙ 2% chance probability➙ agree with Auger
OBSERVATORY
Auger Observatory:28/84 = 33%with iso-bkg = 21%➙ <1 % chance probability
Centaurus A
UHECR Astronomy: Correlation with AGN
when correcting for accidentals,~ 15 % of events with
E > 56 EeV point to nearby AGNApJ 757 (2012) 26
Combined chanceprobability < 10-3
Closest Active Galactic Nucleus: Centaurus A
Moon for comparison of apparent size
21Karl-Heinz Kampert Texas-Symp., São Paulo, Dec. 201234
3.7 Mpc Distance
Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 201235
R.-Y. Liu, et al, ApJ 755, 139 (2012),
Hardcastle, et al., ....
Particles with Z<10 may remain
within opening of 20°
Cen A a dominant UHECR Source ?
G. Farrar et al., JCAP 2012
Galactic magnetic field model of
Jansson-Farrar-2012
➙ 60 EeV protons off by ~ 3°
Figure 2. The predicted locus of arrival directions for a 60 EeV proton emitted from the nucleusof Cen A (white circle), for the JF12 GMF and five other popular large-scale Galactic magnetic fieldmodels: the ASS/BSS models by Stanev [23], the best-fit model of Sun et al. [19, 20] with a 2 µGhalo field, and the ASS/BSS models of Pshirkov et al. [21]. The 2 � � uncertainty region of thepredicted arrival direction due to the uncertainty in the JF12 parameter values is indicated by theshaded region; no such uncertainty analysis exists for the other models. JF12 provides a model of therandom field, but for purposes of comparing to the other models which do not provide a model of therandom field, only deflections due to the coherent field are shown.
Cen A from [26], to test the various GMF models in the region relevant for predictingdeflections of UHECRs from Cen A. We find that JF12 accurately predicts the mean Faradayrotation measure and polarized and total synchrotron intensity in the particular direction ofCen A, while other models perform less-well to very-poorly.
Finally, having confirmed the validity of the JF12 model for Cen A deflections, we useJF12 in Sec. 4 to determine the deflections of UHECRs through the GMF as a function oftheir energy and charge. We find that three events within 18� of Cen A could be protonscoming from Cen A and three others can be attributed to Cen A for more general chargeassignments. Thus we find that the distribution of the arrival directions of the excess ofevents is not compatible with their dominant source being either the Active Galaxy or theextended radio lobes of Cen A, unless high Z nuclei can “wrap back” to the Cen A region –winding up arriving from that direction after deflections greater than 2⇡. Of course, in thatcase, an association with Cen A would be essentially accidental.
– 3 –
5° radius around Cen A
H. B. Kim, arXiv:1206.3839, ....:Further support for source in
direction of Cen A
N. Fraija et al, ApJ 753, 40 (2012) & S. Sahu et al. PRD 85, 043012 (2012):
Assuming pp-interactions at source ➙ MeV-TeV γ‘s agree with Auger flux
H. Yüksel et al, ApJ 758, 16 (2012):If UHECRs were protons ➙ EGMF would be > 20 nG
120! "120!
"75!"60!
"45!
"30!
"15!
0!
15!
30!
45!60!
75!
Cen A
M87
Fornax A
NGC 1275
NGC 1218
Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 2012
Volume limited all-sky catalog of RG
36
Sjoert van Velzen, KHK, et al., ApJ 544 (2012)
constructed from NVSS and SUMSS radio surveys + 2MASS Redshift Survey (2MRS)
Galactic coordinates
• z < 0.03
• K > 11.75 & ( F1400 > 213 mJy or F843 > 289 mJy)
• total of 575 sources
• area of circles ~ radio flux of the source
Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 2012
Hillas Diagram of Radio Galaxies
37
1h25m20s36s52s26m08s24s40s
RA (J2000)
30�
25�
20�
15�
�1�10�NGC 0547 (NVSS)
1h25m36s48s26m00s12s24s
RA (J2000)
27�
24�
21�
18�
15�
�1�12�
Dec
(J20
00)
NGC 0547
12h19m12s20s28s36s
RA (J2000)
+5�46�
48�
50�
52�
54�UGC 7360 (NVSS)
12h19m12s20s28s36s
RA (J2000)
+5�46�
48�
50�
52�
54�
Dec
(J20
00)
UGC 7360
Figure 1: Two examples of radio galaxies with lobes. The contours show the radioemission (data from NVSS), with each individual Gaussian component indicated by apurple box. The galaxies from the 2MRS catalog are labeled with green pentagons.UGC 7360 shows radio lobes without central emission for the core of the jet, whileNGC 547 displays both jet and lobe emission (a second radio-emitting galaxy, withoutlobes, can be seen west of NGC 547)
100 101 102 103
Size (kpc)
1027
1028
1029
1030
1031
1032
1033
Lum
inos
ity(e
rgs�
1 Hz�
1 )
Cen A
M87NGC 1275
Fornax AJ07331844-3654533
Radio-emitting galaxies within z < 0.04
Protons, E20 = 1Protons, E20 = 0.5Iron, E20 = 1GalaxyWithin 100 Mpc
Figure 2: The radio luminosity and size of radio-emitting galaxies within z = 0.04 (ora co-moving distance of 170 Mpc), for the region with the largest value of B ⇥ R. Forcomponents that are not resolved, we use the upper limit on R given by the resolutionof the radio survey (at 50 Mpc this corresponds to 10 kpc). The minimum luminosityand size that are needed to contain cosmic rays (Eq. 3) are shown. Only a handfull ofsources within the GZK volume are above the limit for protons of 1020 eV, while allsources are large enough to contain iron nuclei of this energy.
4
Sjoert van Velzen et al. (work in progress)
Ep~1020 eV
~5·1019 eV
EFe~1020 eV
Radio galaxies as the source of UHECRs:Hillas diagram, energy injection, and
cross-correlation
Sjoert van Velzen, Heino Falcke, and Jorg Horandel
June 14, 2012
Abstract
Radio galaxies are a longstanding candidate source of ultra-high energy cosmicrays (UHECRs). Observations of the lobes of the prototypical radio galaxy Cen Aindicate that this source could be large and luminous enough to accelerate chargedparticles to the ultra-high energy scale. We therefore wish to find all galaxies likeCen A within the GZK horizon (100 Mpc) and check whether the properties of thissample are consistent with the observed spectrum and angular distribution of UHE-CRs. With this goal in mind, we have constructed a new catalog of radio-emittinggalaxies covering the entire extra-galactic sky. From our catalog we construct anempirical Hillas diagram to identify all radio galaxies with lobes that are largeenough to contain ultra-high energy protons. We find that the total energy injectedper unit volume by the jets that are powering these lobes is su�cient to explain theobserved UHECR flux. However, we also find that the cross-correlation of radiogalaxies with UHECRs is not significantly stronger than the cross-correlation withthe local matter distribution. We conclude by discussing how our catalog can, inprinciple, be used to rule out the hypothesis that radio galaxies are the source of allultra-high energy protons
1 IntroductionNearby radio galaxies have been considered a potential source of ultra-high energycosmic rays (UHECRs) since the 1960s [1]. The jets of radio galaxies carry energy ofthe accretion disk away from the black hole, creating lobes filled relativistic electronsthat emit synchrotron radiation. The magnitude of the magnetic field (B) in these lobescan be estimated from their observed radio luminosity (L⌫) and radius (R). For anysynchrotron-emitting source, the total energy is minimum when the energy densityof the magnetic fields (UB) is in equipartition with the relativistic particles that areemitting the radiation (Ue). Using this minimum energy argument, we find
B =
L⌫/✏1031 erg s�1Hz�1
!2/7 R
100 kpc
!�6/7 ✓ ⌫GHz
◆1/7µG (1)
1
Magnetic field inferred from radio luminosity and size
Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 2012
A quite natural scenario...
dN
dEmax
/ E⇣
Fcr /1
R2
R2 ≳ DGZK
Emax,1<EGZK
Emax,2
lg(Emax)
The most nearby source most likely will have a low Emax
for ρS≲ 10-5 Mpc-3
R1 < DGZK
38
We may see a nearby low-Emax source on a background of protons from distant sources
Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 2012
How to Uncover the Origin of the Flux Suppression ?
Expect a different sky and E-spectrumfor light vs heavy primaries:
• p-like primaries (~15% of flux?): ➙ point back to sources, strong AGN correlation ➙ GZK-like E-spectrum• intermediate-heavy primaries ➙ much more isotropic, no AGN correlation
39
Composition on event-by-event basis up to the highest energies
E [eV]1810 1910 2010
]-1
y-1
sr
-2in
tegr
al fl
ux [k
m
-510
-410
-310
-210
-110
1
10 SHDM GZK pTD GZK FeZ-burst
AGASAYakutskAuger SDAuger HybridTA SD
Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 2012
GZK-Photons and Neutrinos
40
Present Upper limits on photon fluxes
GZK p
KHK, Unger APP 35:660 (2012)
γ-showerspenetrate deeper into atmosphere and contain almost no µ‘s
GZK Fe
Presence of GZK-effect could independently be verified by EHE photons and neutrinos
Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 201241
Next Steps...where to we need to go ?
Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 2012
UHECR Mission I: Ground Based
Pierre Auger Observatory:• Upgrades to improve
a) shower-based primary mass measurement at highest energiesb) particle physics capabilities (true high energy frontier!)
42
Telescope Array• Upgrades to improve statistics with surface array
World-Wide Consortium: NGGO ➙ Study UHECR Sources• Prepare for a Next Generation Ground-based Observatory
(NGGO) with much larger aperture and with particle physics capabilities (to be operated in 2022 ff)
• Understand Nature of End of Cosmic Ray Spectrum• Particle Physics at Ecm ~ 100 ELHC
Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 2012
UHECR Mission II: Space Based
43
• UHECR Astronomy and Source Hunting
• Effective aperture 5-10 times larger than Auger(but little particle physics capabilities)
• full-sky by construction
• hope for launch 2017/18
Karl-Heinz Kampert Texas-Symp., São Paulo, Dec. 201244
Thanks for your Attention !
Sorry, Prof. Hess,
we are almost there but still need a bit more time