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Ultra-High Energy Cosmic Rays: Results, and Prospects Karl-Heinz Kampert, University Wuppertal 26th Texas Symposium on Relativistic Astrophysics, São Paulo, Brazil, 15.-20., 2012 Area Grant
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Page 1: Ultra-High Energy Cosmic Rays: Results, and · PDF fileUltra-High Energy Cosmic Rays: Results, and Prospects ... (1/300) x(E/Z) , where R is the radius ... its charge. Recent evidence

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

Page 2: Ultra-High Energy Cosmic Rays: Results, and · PDF fileUltra-High Energy Cosmic Rays: Results, and Prospects ... (1/300) x(E/Z) , where R is the radius ... its charge. Recent evidence

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

Page 3: Ultra-High Energy Cosmic Rays: Results, and · PDF fileUltra-High Energy Cosmic Rays: Results, and Prospects ... (1/300) x(E/Z) , where R is the radius ... its charge. Recent evidence

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

Page 4: Ultra-High Energy Cosmic Rays: Results, and · PDF fileUltra-High Energy Cosmic Rays: Results, and Prospects ... (1/300) x(E/Z) , where R is the radius ... its charge. Recent evidence

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

Page 5: Ultra-High Energy Cosmic Rays: Results, and · PDF fileUltra-High Energy Cosmic Rays: Results, and Prospects ... (1/300) x(E/Z) , where R is the radius ... its charge. Recent evidence

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

Page 6: Ultra-High Energy Cosmic Rays: Results, and · PDF fileUltra-High Energy Cosmic Rays: Results, and Prospects ... (1/300) x(E/Z) , where R is the radius ... its charge. Recent evidence

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

Page 7: Ultra-High Energy Cosmic Rays: Results, and · PDF fileUltra-High Energy Cosmic Rays: Results, and Prospects ... (1/300) x(E/Z) , where R is the radius ... its charge. Recent evidence

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

Page 8: Ultra-High Energy Cosmic Rays: Results, and · PDF fileUltra-High Energy Cosmic Rays: Results, and Prospects ... (1/300) x(E/Z) , where R is the radius ... its charge. Recent evidence

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

Page 9: Ultra-High Energy Cosmic Rays: Results, and · PDF fileUltra-High Energy Cosmic Rays: Results, and Prospects ... (1/300) x(E/Z) , where R is the radius ... its charge. Recent evidence

Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 2012

Problem 3: AnisotropiesExpect anisotropies forprotons at E>1019 eV

Page 10: Ultra-High Energy Cosmic Rays: Results, and · PDF fileUltra-High Energy Cosmic Rays: Results, and Prospects ... (1/300) x(E/Z) , where R is the radius ... its charge. Recent evidence

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

Page 11: Ultra-High Energy Cosmic Rays: Results, and · PDF fileUltra-High Energy Cosmic Rays: Results, and Prospects ... (1/300) x(E/Z) , where R is the radius ... its charge. Recent evidence

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

Page 12: Ultra-High Energy Cosmic Rays: Results, and · PDF fileUltra-High Energy Cosmic Rays: Results, and Prospects ... (1/300) x(E/Z) , where R is the radius ... its charge. Recent evidence

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)

Page 13: Ultra-High Energy Cosmic Rays: Results, and · PDF fileUltra-High Energy Cosmic Rays: Results, and Prospects ... (1/300) x(E/Z) , where R is the radius ... its charge. Recent evidence

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

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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

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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

Page 16: Ultra-High Energy Cosmic Rays: Results, and · PDF fileUltra-High Energy Cosmic Rays: Results, and Prospects ... (1/300) x(E/Z) , where R is the radius ... its charge. Recent evidence

Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 201216

Event Example in Auger Observatory

12 km

~ 20 km

OBSERVATORY

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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

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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)

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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

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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!

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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)

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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

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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?

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]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

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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

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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

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

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

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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)

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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 ?

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Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 201229

(Auger) Data suggestthat we may see the exhaustion of sources

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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Karl-Heinz Kampert – University Wuppertal Texas-Symp., São Paulo, Dec. 201241

Next Steps...where to we need to go ?

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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

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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

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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


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