Searching for the Origin of UHECR with Michael Hillas (Aug 2014- Dec 2016)
Hillas Symposium Andrew Taylor
Andrew Taylor
Searching for the Origin of UHECR with Michael Hillas (Aug 2014- Dec - - PowerPoint PPT Presentation
Searching for the Origin of UHECR with Michael Hillas (Aug 2014- Dec 2016) Andrew Taylor Hillas Symposium Andrew Taylor Michaels PainEng- Renoirs Nightmare! Andrew Taylor Hillas Symposium Andrew Taylor MeeEng at Dunsink (2014)
Hillas Symposium Andrew Taylor
Andrew Taylor
Hillas Symposium Andrew Taylor
Andrew Taylor
Hillas Symposium Andrew Taylor
It is surprising how much detail lurks here
KNEE ANKLE Extragalactic? Galactic/SNR?
KNEE ANKLE Extragalactic? Galactic/SNR?
If initial spectrum dN/dE ~ E-2.3,
Production rate in universe: SF = like Porciani-Madau star formation rate SF2; C=constant; W=PM 0.5; S= PM 1.5
SF C W S
normalised here
pair-production losses pion production
(If the primary particle is a large nucleus, the individual nucleons have less energy and their showers die out at a lesser atmospheric depth.)
Here, “xmax”– a – b.logE is plotted to make the line horizontal if the nuclear mass is unchanged with energy.
Equivalent mass
(b is the “elongation rate”; a is arbitrary.)
Hillas Symposium Andrew Taylor
Michael’s poignant wit!
E [EeV] 1 10 Upper Limit - Dipole Amplitude
10
10 1
Z=1 Z=26
λ Hillas Symposium Andrew Taylor
GiacinE et al. (2011), 1112.5599 Pierre Auger Collab. (2012), 1212.3083 Liu et al. (2016), 1603.03223
Hillas Symposium Andrew Taylor
0.0001 0.01 1 100 10000 16.5 17 17.5 18 18.5 19 19.5 20 20.5 21 E2dN/dE [arb. units]
log10(E)
Michael- A=1-2 Andrew- A=1-2 Michael- A=3-5 Andrew- A=3-5 Michael- A=6-13 Andrew- A=6-13 Michael- A=14 Andrew- A=14
Hillas Symposium Andrew Taylor
10-10 10-8 10-6 10-4 10-2 100 109 1010 1011 1012 1013 1014 1015
ECR dNCR/dECR [cm-2 s-1 sr-1] ECR [eV]
p He C O Ne Mg Si Fe p 10-10 10-8 10-6 10-4 10-2 100 109 1010 1011 1012 1013 1014 1015
ECR dNCR/dECR [cm-2 s-1 sr-1] ECR/A [eV per nucleon]
p He C O Ne Mg Si Fe p
ATIC data CREAM data
proton He C O Si Fe xi 1.0 0.04 0.001 0.001 0.0002 0.0002
composi?on ra?os of CR at 10~GeV per nucleon
Hillas Symposium Andrew Taylor
10-6 10-5 10-4 10-3 10-2 10-1 100 109 1010 1011 1012 1013 1014 1015 compensated for solar abundance ratios
ECR dNCR/dECR [cm-2 s-1 sr-1] ECR/A [eV per nucleon]
p He C O Si Fe p
proton He C O Si Fe xi 1.0 0.1 0.0004 0.0008 0.00003 0.00003
solar system abundance ra?os
Hillas Symposium Andrew Taylor
Abundance by Mass Abundance by Number astro-ph: 1706.08229
Hillas Symposium Andrew Taylor
0.01 0.1 1 10 100 1000 10000 17.5 18 18.5 19 19.5 20 20.5 EFe, max=1020.40eV p=2.25
He C O Ne
Hillas Symposium Andrew Taylor
5 10 15 20
y x 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8
5 10 15
5 10 15 y x 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
z=2 kpc z=-2 kpc Toroidal field component
Hillas Symposium Andrew Taylor
y=0 kpc X-field component
Hillas Symposium Andrew Taylor
y" z" Cen"A" Injec2on"Site" 90"kpc" θ" ϕ "
y" z" x" Milky"Way" Injec2on"Site" 90"kpc" θ" ϕ "
Hillas Symposium Andrew Taylor
20 40 60 80
20 40 60 80
y [kpc] x [kpc]
5
y" z" x" Milky"Way" Injec2on"Site" 90"kpc" θ" ϕ "
Hillas Symposium Andrew Taylor
Michael & I had intended to produce a short paper on this “shadowing” effect
Hillas Symposium Andrew Taylor
20 40 60 80
50 100 150
b [deg] l [deg]
20 40 60 80
50 100 150 1 2 3 4 5 6 7 8 9
spatial bin size- 1.0 kpc, Ep=3.2E+18 eV full Bfield
Hillas Symposium Andrew Taylor
Only X-field Only Toroidal + Disk Fields
20 40 60 80
50 100 150
b [deg] l [deg]
20 40 60 80
50 100 150 1 2 3 4 5 6
spatial bin size- 1.0 kpc, Ep=3.2E+18 eV x-field
20 40 60 80
50 100 150
b [deg] l [deg]
20 40 60 80
50 100 150 0.2 0.4 0.6 0.8 1 1.2
spatial bin size- 1.0 kpc, Ep=3.2E+18 eV wo x-field
Hillas Symposium Andrew Taylor
0.5 1
50 100 150
sin(b) l [deg]
0.5 1
50 100 150 100 200 300 400 500 600 700 800 full Bfield, rmax=32.0 kpc Ep=3.2E+18 eV
Michael named this effect “tunnel vision”!
Hillas Symposium Andrew Taylor
Only Toroidal Field
0.5 1
50 100 150
sin(b) l [deg]
0.5 1
50 100 150 100 200 300 400 500 600 700 800 toroidal field, rmax=32.0 kpc Ep=3.2E+18 eV
0.5 1
50 100 150
sin(b) l [deg]
0.5 1
50 100 150 200 400 600 800 1000 1200 wo toroidal field, rmax=32.0 kpc Ep=3.2E+18 eV
Only Disk + X-Field
Hillas Symposium Andrew Taylor
Hillas Symposium Andrew Taylor
10-6 10-5 10-4 10-3 10-2 10-1 100 109 1010 1011 1012 1013 1014 1015 compensated for solar abundance ratios
p He C O Si Fe p
Hillas Symposium Andrew Taylor
Note: I have skipped over many details – ►How does the Galactic flux fall off? The KASCADE experiment gave strong indication of an initial sharp fall in the H and He components, but does it fall less steeply after the first fall by a factor ~3, say? ►Does the extragalactic CR production rate vary more, or less, steeply than the nominal star-formation rate? ►One must ensure that the energy injection required is not impossibly high, and that electron/gamma-ray production is within observational gamma-ray-flux
►What is the spectral exponent at production? ►Is there a significant level of elements heavier than H? ►(And, becoming important as one nears 1020 eV, where does the production spectrum tail off?) The best values of these parameters to fit the observed spectral shape and the energy at which the UHE xmax rises were adopted and shown. (These different factors tend to affect different regions of the spectrum, and there is not a great freedom of choice.)
This “unweaving” of the Galactic and Extragalactic strands of cosmic rays looks weird and contrived, but is based on physics.
50% E-Gal 80% E-Gal
KNEE ANKLE (originally) “Extragalactic”? Galactic/SNR?