Transition from Galactic to Extragalactic Cosmic Rays Roberto - - PowerPoint PPT Presentation
Transition from Galactic to Extragalactic Cosmic Rays Roberto - - PowerPoint PPT Presentation
Transition from Galactic to Extragalactic Cosmic Rays Roberto Aloisio Gran Sasso Science Institute INFN Laboratori Nazionali del Gran Sasso Symposium 20 th Anniversary of the Foundation of the Pierre Auger Observatory 14-16 November 2019,
CR Observations and the transition GCR-EGCR
ü The all particle
spectrum is a broken power law with few structures: knee, second knee, ankle, strong suppression at UHE.
ALL PARTICLE SPECTRUM
KNEE
T R A N S I T I O N
ANKLE II KNEE In Cosmic Rays physics we can study sources, production mechanisms and the physics
- f
propagation only through three basic observables
üSpectrum üAnisotropy üMass composition
E [eV]
17
10
18
10
19
10
20
10
]
2
eV
- 1
sr
- 1
yr
- 2
[km
3
E × J(E)
37
10
38
10
(E/eV)
10
log
17 18 19 20
< 60 degrees θ SD 1500m SD 750m Cherenkov > 60 degrees θ SD 1500m hybrid
Auger Collaboration (2019)
Ultra High Energy Cosmic Rays – Spectrum
ü Expected changes in the mass
composition across the transition region: from heavy to light (see later).
ü Anisotropy observations can
provide stringent limits on the transition region.
Transition GCR-EGCR
ü Second knee: ~2x1017 eV ü Ankle: ~3x1018 eV
Spectral features
ü Large scale anisotropy: dipole E>8 EeV (5.2!) Extragalactic origin
Auger Collaboration (2019)
Ultra High Energy Cosmic Rays – Anisotropy
0.36 0.40 0.44 Flux[km-2 sr-1 yr-1]
- 90
90 360
ü Intermediate anisotropy: E>38 EeV (3.8!) Hints of sources (Starburst, AGN)
E [eV]
17
10
18
10
19
10
20
10
]
2
eV
- 1
sr
- 1
yr
- 2
[km
3
E × J(E)
37
10
38
10
(E/eV)
10
log
17 18 19 20
< 60 degrees θ SD 1500m SD 750m Cherenkov > 60 degrees θ SD 1500m hybrid
Dipole: Extragalactic Hotspot: Sources
- E. G. Berezhko, H. J. Volk (2008)
Galactic CR: knees and acceleration
ü The knee as a signature of a rigidity
dependent acceleration
ü The all particle spectrum is the result of
the sum of the spectra of different species, with a cut-off energy rigidity dependent
EZ = ZEp
J.R. Horandel et al. (2003)
üMaximum energy of accelerated protons
(need for “Pevatron” sources)
Ep
0 & 1PeV
dΦZ dE (E) = Φ0
XE Z
1 + ✓ E EZ ◆✏c− ∆
✏c
U1 U2
X-rays observations
Typical size of the observed filaments ~ 10-2 parsec
Diffusive Shock Acceleration
100 20 40 60 80 100
- 40.5
- 40
- 39.5
- 39
17h10m 17h15m
PSF
RXJ-1713, X and gamma Tycho, X
Comparison with the observed thickness leads to a B-field estimate
B ' O(100µG)
ü Diffusion of charged particles back and forth
through the shock leads to
ü Particles are accelerated to a power law
spectrum
ü The slope of the spectrum depends only on
the shock compression factor, in the case of strong shock (M>>1) Q~E-2 .
ü The maximum acceleration energy depends
- nly on diffusion in the shock region. The
ISM magnetic turbulence (as it follows from B/C observation) is too low (providing only CR at GeV energy). It is needed additional turbulence to reach Emax ~105-106 GeV.
Q(E) ∝ E−γ
∆E ' E(4/3)(U1 U2)/c
Morlino & Caprioli 2011
Steep spectrum hard to explain with leptonic emission
The case of Tycho
ü SNIa exploded in roughly homogeneous ISM
(regular spherical shape)
ü From X-ray observations B~300 µG ü Maximum energy protons Emax~500 TeV ü Leptonic emission. ICS of relativistic electrons
- n photon background has a flatter spectrum
respect to CR: E-(γ+1)/2
ü Hadronic emission. pp→π0→γγ conserves the
same spectrum of CR: E-γ
ü Important experimental confirmation of the
credibility level of theories based on DSA. Space resolved gamma ray observations would test different theoretical hypothesis.
Xray profile 1 keV
0.94 0.95 0.96 0.97 0.98 0.99 1.00 1 2 3 4 5 6 7 8 RRsh Brightness ergscm2Hzsr
4.
Morlino & Caprioli 2011
ESCAPE FLUX FROM BOUNDARY ESCAPE FROM SNR AFTER EXPANSION
Escape of CR from accelerator – maximum energy
Caprioli et al. 2009
Escape is the physical phenomenon that transforms accelerated particles into CR. CR injected
ü particles escaped during the
free expansion and Sedov- Taylor phases (emission peaked on pmax)
ü particles released in the ISM
after expansion Streaming instability Super-Alfvenic streaming
- f
CR leads to the excitation of magnetic turbulence δB at the resonant wavenumber k=1/rL. Locally at the shock front this turbulence can reach δB/B ~ 50, while in the ISM δB/B<<1. Maximum energy
ü particles escape ü NOTE: Hillas criterion
is an upper limit,
- verestimates the actual maximum energy by a factor of c/Vsh
D(Emax) Vsh ' χRsh χ < 1
rL(Emax) = Rsh
Blasi 2019
Galactic CR acceleration
ü In the framework of DSA
in SNRs the maximum attainable energy seems somewhat lower than needed. ü Type Ia SN ü Type II SN core collapse in its own wind
Ep
max = 0.05
✓ξCR 0.1 ◆ ✓Mej M ◆2/3 ✓ ESN 1051erg ◆ ⇣nISM cm3 ⌘ PeV
Ep
max = 0.3
✓ξCR 0.1 ◆ ✓Mej M ◆1 ˙ M 105Myr1 !1/2 ✓ ESN 1051erg ◆ ✓ Vw 10kms1 ◆ PeV
(E/TeV)
10
Log 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 )
- 1
sr
- 1
s
- 2
m
1.6
(GeV Ω dAdtd
E
d dN ×
2.6
E
2
10
3
10
4
10
ARGO-YBJ G4 ARGO-YBJ G1 ARGO-YBJ Bayes-G4 ARGO-YBJ Bayes-G1 ARGO-YBJ WFCTA (p + He) ARGO-YBJ strip (p + He) Tibet III (QGSJET-II) 2008 Tibet III (SIBYLL) 2008 KASCADE (QGSJET-II) 2005 KASCADE (SIBYLL) 2005 Tunka-25 2013 Tunka-133 2012 DICE 2000 Icetop 2013 KASCADE-Grande 2012 EAS-Top 1999 BLANCA 2001 CASA-MIA 1999 RUNJOB JACEE KASCADE p KASCADE (He + C + Si) KASCADE Fe YAC-I TibetIII (p + He) SIB 2013 CREAM (p + He) 2011 Horandel (p + He) 2003 1 PeV × knee at Z Horandel (p+He) 2003 Horandel (All particle) 2003 Gaisser et al. 2013 (p + He) Gaisser et al. 2013 (p+He+Fe+CNO) Direct measurements comb. (p + He) Direct measurements (All particle)
Preliminary
Galactic Cosmic Rays – The knee structure
All particle and light components (Argo-YBJ) P+HE SPECTRUM (YAC1-Tibet)
- I. De Mitri, A. D’Amone, L. Perrone, A. Surdo (2016)
- J. Huang (2013)
ü Knee in the all particle spectrum ~ 2 PeV ü Knee in the light component ~ 0.1 PeV
YAC1-Tibet and Argo-YBJ
Energy (eV/particle)
13
10
14
10
15
10
16
10
17
10
18
10
19
10
20
10
21
10
)
1.5
eV
- 1
sr
- 1
sec
- 2
J(E) (m
2.5
dI/dE x E
13
10
14
10
15
10
16
10
17
10
18
10
19
10
direct data
Akeno (J.Phys.G18(1992)423) AGASA (ICRC 2003) HiResI (PRL100(2008)101101) HiResII (PRL100(2008)101101) AUGER (ICRC 2009)
EAS-TOP (Astrop.Phys.10(1999)1) KASCADE (Astrop.Phys.24(2005)1) KASCADE H KASCADE He KASCADE heavy TIBET-III (ApJ678(2008)1165) GAMMA (J.Phys.G35(2008)115201) TUNKA (ICRC-Beijing(2011)) IceTop (2012-arXiv:1202.3039v1) Yakutsk (NewJ.Phys11(2008)065008) KASCADE-Grande (QGSJET II) Nch-N KASCADE-Grande heavy KASCADE-Grande light+medium
Kascade and Kascade-Grande
- A. Haungs et al. (2013)
ü The position of the p+He
knee is not clearly determined, discrepancies among experiments (high vs low altitudes?)
ü Uncertainties in the
hadronic interaction models
ü Uncertainty in the maximum
acceleration energy of galactic CR.
ü Knee in the all particle
spectrum ~ 2 PeV
ü Knee in the heavy
component ~ 80 PeV
ü ”Recovery” in the light
component ~ 100 PeV
(E/eV)
10
log 16.4 16.6 16.8 17 17.2 17.4 17.6 17.8 18 18.2 18.4 )
1.7
eV
- 1
s
- 1
sr
- 2
(m
2.7
dI/dE x E
18
10
19
10
all-particle -- PRL 107 all-particle heavy (sep. between He-CNO) light (sep. between CNO-Si) -- PRL 107 light (sep. between CNO-Si) light (sep. between He-CNO) light (sep. on He)
(E/eV)
10
log 16.6 16.8 17 17.2 17.4 17.6 17.8 18 18.2 )
1.7
eV
- 1
s
- 1
sr
- 2
(m
2.7
dI/dE x E
19
10
light (sep. between He-CNO) band of systematic uncertainty 0.08 ± /eV) = 17.08
break, light(E
100.08, log ± = -2.79
2γ 0.05, ± = -3.25
1γ 2506 1487 882 539 322 195 144 92 55 43 40 18 8
W.D. Apel et al. (2013)
Kascade and Kascade -Grande
Ultra High Energy Cosmic Rays – Composition
Auger Collaboration (2019)
At the lowest energies log(E/eV)=17.5 an increasing light component till log(E/eV)=18.5, with increasing energy the composition turns heavier. Uncertainties due to the hadronic interaction model assumed.
Mixed Composition
RA, Berezinsky, Grigorieva (2009-2013)
Critical Lorentz factor
The critical Lorentz factor fixes the scale at which photo-disintegration becomes relevant, for heavy nuclei it is almost independent of the nuclei specie It is impossible to observe at the Earth a pure heavy nuclei spectrum, even if sources inject only heavy nuclei of a fixed specie at the Earth we will
- bserve all secondaries (protons too)
produced by photo-disintegration.
Composition
Caveats on UHE nuclei
1037 1038 1039 1040 1018 1019 1020 E3 J(E) (arb. norm.) E (eV) He
γ=1.0 γ=2.0 γ=2.5
1037 1038 1039 1040 1018 1019 1020 E3 J(E) (arb. norm.) E (eV) CNO
γ=1.0 γ=2.0 γ=2.5
1037 1038 1039 1040 1018 1019 1020 E3 J(E) (arb. norm.) E (eV) MgSi
γ=1.0 γ=2.0 γ=2.5
1037 1038 1039 1040 1018 1019 1020 1021 E3 J(E) (arb. norm.) E (eV) Fe
γ=1.0 γ=2.0 γ=2.5
L0 = nUHELUHE = AmN Z Γmax
1
dΓΓQA(Γ)
QA(Γ) = Q0e−Γ/Γmax ✓ Γ Γ0 ◆−γg
The combined effect of nuclei energy losses, mainly photo-disintegration, and injection implies that a steep injection increases the low energy weight of the mass composition
Injection of nuclei: flat vs steep
The effect of an Intergalactic Magnetic Field (IMF) can mitigate the conclusion on flat spectra allowing for steeper spectra γ≈2.
Note
1021 1022 1023 1024 1025 1018 1019 1020 1021 E3 J(E) (eV2 m-2 s-1 sr-1) E (eV)
γg=1.0, Emax=5Zx1018 eV p He CNO MgAlSi Fe
10 20 30 40 50 60 70 1018 1019 1020 σ(Xmax) (g/cm2) E (eV)
What we can learn from Auger data
RA, Blasi, Berezinsky (2014) 650 700 750 800 850 1018 1019 1020 <Xmax> (g/cm2) E (eV) EPOS Sybill QGSJet1 QGSJet2
Auger chemical composition can be reproduced only assuming a very flat injection of primary nuclei
γg = 1.0 ÷ 1.5
with a certain level of degeneracy in terms
- f the nuclei species injected
L0 = nUHELUHE ' 1044 erg Mpc3y
650 700 750 800 850 1018 1019 1020 <Xmax> (g/cm2) E (eV) EPOS Sybill QGSJet1 QGSJet2 1021 1022 1023 1024 1025 1018 1019 1020 1021 E3 J(E) (eV2 m-2 s-1 sr-1) E (eV)
γg=1.0, Emax=5Zx1018 eV gal p He CNO MgAlSi Fe
10 20 30 40 50 60 70 1018 1019 1020 σ(Xmax) (g/cm2) E (eV)
An additional galactic component can fill the gap in the spectrum. Composition issue. Mixture of 80% p and 20% He to reproduce Auger
- bservations. Difficult to reconcile
with DSA acceleration and anisotropy
- bservations.
RA, Blasi, Berezinsky (2014)
Extra Galactic Nuclei and Galactic light elements
The Kascade-Grande observations seem to confirm the presence of an extragalactic light component with a steep injection spectrum.
1018 1019 1020 1016 1017 1018 E2.7 J(E) (eV1.7 m-2 s-1 sr-1) E (eV)
KG light 5 PeV 6 PeV 7 PeV p+He, extra gal
ü light component steep injection (γg>2.5) ü heavy component flat injection (γg<1.5)
L0 = nUHELUHE ' 1044 erg Mpc3y L0 = nUHELUHE ' 1047 erg Mpc3y
1021 1022 1023 1024 1025 1018 1019 1020 1021 E3 J(E) (eV2 m-2 s-1 sr-1) E (eV)
γg(p,He,A>4)=1.0, γg(p,He)=2.7 Emax(p,He,A>4)=5Zx1018 eV, Emax(p,He)=3Zx1019 eV
Fe, gal p He CNO MgAlSi Fe
650 700 750 800 850 1018 1019 1020 <Xmax> (g/cm2) E (eV) EPOS Sibyll QGSJet1 QGSJet2 10 20 30 40 50 60 70 1018 1019 1020 σ(Xmax) (g/cm2) E (eV)
RA, Blasi, Berezinsky (2014)
Different Classes of Extra Galactic Sources
Transition at the ankle
ü Galactic light component between
0.1 EeV<E< 1 EeV.
ü Difficult to reconcile with anisotropy
and mass composition observations.
ü New kind of galactic very high
energy sources. Not compatible with the standard model of DSA.
Transition at the II knee
ü Different
injection light/heavy (steep/flat) (Two classes
- f
extragalactic sources and/or specific dynamics at the source).
ü Compatible with Kascade-Grande
- bservations.
ü Not too demanding respect to the
standard model of DSA.
1022 1023 1024 1025 1015 1016 1017 1018 1019 1020 1021 E3 J(E) (eV2 m-2 s-1 sr-1) E (eV)
p He CNO MgAlSi Fe
1022 1023 1024 1025 1015 1016 1017 1018 1019 1020 1021 E3 J(E) (eV2 m-2 s-1 sr-1) E (eV)
p He CNO MgAlSi Fe