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Deflections of Ultra High Energy Cosmic Rays by Intergalactic Magnetic Fields. Based on astro-ph/0310902 with. Klaus Dolag (Dipartimento di Astronomia - Padova Volker Springel (Max Planck Institute for Astrophysics - Munich) Igor Tkachev (CERN ). Ultra High Energy Cosmic Rays.
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Deflections of Ultra High Energy Cosmic Rays by Intergalactic Magnetic Fields Based on astro-ph/0310902 with Klaus Dolag (Dipartimento di Astronomia - Padova Volker Springel (Max Planck Institute for Astrophysics - Munich) Igor Tkachev (CERN )
Ultra High Energy Cosmic Rays Cosmic Rays spectrum UHECR
Why UHECRs are so interesting? • Likely, they are of extra-galactic origin • The acceleration mechanism is unknown and it may involve new physics • Galactic magnetic field are not expected to deflect them significantly UHECR may point their sources if intergalactic magnetic fields are not too strong
Plan of the talk • Observational situation: UHECR energy spectrum and angular distribution • Why, most likely, UHECR come from astrophysical sources • How far UHECR can travel; why they are nuclei • Galactic and intergalactic magnetic fields and their origin • Reconstructing the IGMF by numerical simulations • Maps of deflections and general results • Conclusions
Extensive Air Showers Ground Arrays either scintillators or water cherenkov tanks are deployed on a large region. The energy of the particle is obtained by measuring the density of particles at 600 m from the core of the shower. Fluorescence Telescope antennas are used to detect the isotropic 300-400 nm radiation emitted by fluorescence from the nitrogen molecules in the atmosphere. Energy and composition are measured from the position of the maximum of the shower.
EAS experiments THE PRESENT: AGASA: ground detector [acceptance 160 km2 sr , angular resolution ~ 20] HiRes (monocular): fluorescence detector [350 km2 sr, angular resolution ~ 1o (binocular)] THE FUTURE: AUGER (ground + florescence) [accep. 7000 km2 sr, res. 1.5o] EUSO ( fluorescence from the space) [accep. 35000-70000 km2 sr]
Energy spectrum: AGASA vs HiRes • AGASA~ 900 events with E > 1019 eV • ~ 100 “ “ 4 1019 eV • ~ 15 “ “ 1020 eV • HiRes 2 events with E > 1020 eV (expected 20 by assuming AGASA flux)
Energy spectrum: AGASA vs HiRes By correcting for possible systematic in the energy determination Blasi, De Marco & Olinto ‘03 - 15 % + 15 % -discrepancy reduces at ~ 2 between the two experiments - AGASA is compatible with the GZK cut-off at 2.3 Hopefully this will be settled by AUGER which combine both techniques !
The composition of UHECR From thestudy of EASdevelopment Fly's Eye[Dawson et al. 98] Transition from heavy (at 1017.5 eV) to light composition (at ~1019 eV) Haverah Park [Ave et al. 2001] No more than 48% of the inclined showers can be photons above 1019 eV No more than 54% can be Iron above 1019 eV No more than 50% of the showers can be photons above 4 1019 eV Neutrinos are excluded (if the cross section is not enhanced) Similar limits from AGASA
Angular distribution Doublets and triplets Galactic plane Supergalactic plane • Fly’s Eye + AGASA: excess of events (4 %) for 0.4 < E < 1.0 1018 eV in the direction of the galactic center • For E > 4 1019 eV AGASA and HIRes find no evidence of a large scale anisotropy UHECR must be extragalactic or be produced in an extended halo !! No evidence of an excess along the supergalactic plane
The Local Super Cluster (LSC) ~ 10 Mpc ~ 40 Mpc
How far UHECRs may come from ? The GZK cut-off and the composition of UHECR
PROTONS Energy losses due to
The GZK cut-off AGASA ONLY!! may be due to a systematics or to a local excess of sources (top-down models) or To a local confinement of UHECRs due to strong magnetic fields in the LSC
NEUTRONS They decay after travelling a distance COMPOSITE NUCLEI (Less interesting in this context since they smaller Larmor radius) Same energy losses as for the proton + photodisintegration At 1020 eV they cannot travel more than ~ 10 Mpc
PHOTONS(electromagnetic showers) (NO MAGNETIC FIELDS) Protheroe & Johnson ‘96
The large scale isotropy is not a problem for protons For E ≤ 5 1019 eV lE ≥ 1 Gpc The flux is dominated by far source No expected excess along the Supergalatic plane ! The some doesn’t hold for photons since lE() < 10 Mpc A large component of UHECRs is composed by protons or nuclei
Why UHECR sources are astrophysical: • The spectrum of CR is practically a single power law • There are evidence for small scale clustering • Hints for a correlation between UHECR and BL-Lacs
Small scale clustering AGASA: 92 events with E > 41019 eV - 8 doublets - 2 triplets Chance probability to reproduce them with a homogeneous distribution of sources: Pchance < 1 % AGASA + Yakutsk[Tiniakov & Tkachev, 01] Pchance < 10 -5(different treatment of triplets) SIGNIFICANT INDICATION THAT SOURCES MAY BE POINT LIKE
The BL-Lacs - UHECR connection Tinyakov & Tkachev astro-ph/0102476 • Chance probability to reproduce that with uniform sources P < 10-4 • From a sample of 22 BL-Lacs 5 coincide with UHECR arr.dir. • Crossing BL-Lacs catalogue with EGRET sources gives 12 BL-Lacs • 4 UHECR source candidates are among these 12 ! • The remaining 10 correlate with UHECR after correcting for the galactic field ( if Q = + 1). Gobunov et al. astro-ph/0204360
Nuclei Deflections in the Milky Way • the regular fieldgive rise to undetectable deflections at 1020 eV • the galactic disk signature should be visible if sources are galactic and UHECR • are not heavy nuclei • Sizeable deflections at1019 eV which, however, can be disentangled ! • [See e.g. Tinyakov & Tkachev ‘03] • The random field produce ~ 1 o deflections
Magnetic fields in galaxy clusters Coma cl. : visible X-rays radio Synchrotron emission X-ray non-thermal emissions
Faraday Rotation Measurments (RMs) Coma RMs
MF in the Inter-Galactic Medium (IGM) Only upper limits are available based on the Faraday Rotation Measurements of Quasars’ radio emission at cosmological distance (z ~ 1) LC First limit by Kronberg’94 who, however assumed ne = const. and b = 1 !! Then Blasi, Burles and Olinto, `99 accounted for ne inhomogen. in Ly-alpha clouds UHECR deflections may be large if these limits are saturated !
Possible origin of magnetic fields • Primordial seed + dynamo amplification in galaxies + pollution of the IGM by galactic winds • Ejection from AGN’s + amplification during the cluster accrection • Battery + amplification during the cluster accrection • Primordial origin ( phase transitions in the early universe, generation at neutrino decoupling, the inflation) + amplification during the cluster accrection [For a review see D.G. & Rubinstein ‘01] MHD SIMULATIONS FAVOUR 2-4
MSPH simulations in galaxy clusters MSPH: Magnetic Smooth Particle Hydrodynamics [Dolag, Bartelmann & Lesch, astro-ph/0109541, 0202272] N-body simulations of DM + gas hydrodynamics (SPH) + MHD The initial DM fluctuations are fixed at z = 20 compatibly with CDM DM “particle” gas “particle” + magnetic field Smoothing length .
Magnetic field evolution The MF is evolved starting from a seed (AGNs, battery or primordial) The electric conductivity of the IGM is practically infinite The magnetic field is amplified by: ADIABATIC COMPRESSION: MHD amplification by shear flows: The memory of the initial power spectrum is erased !
Simulated RMs • RMs profile is reproduced for
Reconstructing the magnetic structureof the local universe Basic assumption: magnetic fields in galaxy clusters are originated by a uniform primordial seed generated at high redshift Motivations: - this is easier to be implemented numerically - it should give the largest deflections of UHECRs Approach: - we combine MSPH simulations previously performed for galaxy clusters with constrained simulations of the local universe LSS
Simulations of IGMF in the local universe • We need a realistic 3D simulation of the LSS such that the size and position of simulated structures (clusters) coincide with those observed on the sky. • We need to know the observer position in the magnetized structure. • The size of the simulation volume has to be > 50 Mpc such to enclose the Local Super Cluster (LSC) the GZK sphere REQUIREMENTS
Constrained simulations Initial conditions (density fluctuations) are chosen randomly from a Gaussian field with a power spectrum compatible with CMD cosmology but constrained so that the smoothed density field coincide with that observed. Simulations of this kind have been performed, successfully, to simulate the local flow [Mathis, Springel, White et al. , astro-ph/0111099]
OUR SIMULATION CONSTRAINED SIMULATION OF DM AND GAS + MSPH • Simulation volume: 80/h Mpc = 107/h70 Mpc gas mass resolution 5 x 108 Msun ; max spatial resolution ~ 10 kpc • Initial redshift: z = 60 • Initial magnetic field: B0 = 1 x 10 -11 G lC = ∞ We use IRAS 1.2 galaxy catalogue to constrain initial conditions
Results of the MHD simulation • CLUSTERS: Bc = 1 - 10 G - OK with RMs - LC << L: no memory of the initial field structure • High density FILAMENTS: Bc = 10-2 - 10-3 G ; (no memory) • Low density FILAMENTS: Bc = 10-4 G ; field aligned with the fil. axis
RAY TRACING Smoothed gas particle • We sum deflections produced by every gas particle • If > 5 o trajectories are ignored • Proton energy: E = 4 1019 eV Energy losses can be neglected up to ~ 1 Gpc ( deflections at larger energies can only be smaller !! )
What we learn from these maps ? • UHECR cannot be isotropized !! • Large deflections are produced only in gal. clusters which cover only a tiny fraction of the sky • Filaments produce small deflections (< 2o) • At large distances the bulk of deflections is due to filaments • No observable deflections in the local region and in the voids
Sky fraction covered by observable deflections Self-similarity is consistent with a uniform density of deflectors (filaments) For d a large number of filaments is crossed, each time giving a random 0.5 There is a considerable fraction of the sky where correlation with source is preserved !! OK with small scale clustering and UHECR-BL Lacs correlation
The effect of a possible unclustered field To be expected only if the field is of primordial origin Observable only if lC > 20 Mpc Quite hard to get unless the field is primordial and generated during the inflation
Conclusions • We performed the first simulation of the magnetic structure in the local universe • The simulation reproduce MF observed in galaxy clusters and give new hints on the MF in less dense regions like filaments • According to our results the LSC is weakly magnetized • UHE protons undergoes large deflections only when they pass trough clusters and ~ 1o deflections in filaments • Our results are compatible with small scale clustering and UHECR-BL Lacs correlation CHARGE PARTICLE ASTRONOMY SHOULD BE POSSIBLE