Detection of Gamma-Rays and Energetic Particles Interactions of high energy photons Detectors for...
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Detection of Gamma-Rays and Energetic Particles
• Interactions of high energy photons• Detectors for 100 keV – 10 MeV
– Scintillators, Solid-state detectors– Compton telescopes
• Detectors for 30 MeV – 20 GeV– Spark chambers– Silicon trackers
• Detectors for higher than 20 GeV– Air Cherenkov– Extensive air shower
Three interactions
• Photoelectric absorption (E < 10 MeV)– Photon is absorbed by atom– Electron is excited or ejected
• Compton scattering (10 keV < E < 10 MeV)– Photon scatters off an electron
• Pair production (E > 10 MeV)– Photon interacts in electric field of nucleus and
produces an e+ e– pair
Detectors for 100 keV – 10 MeV
• Can not use detectors for standard X-ray band (0.1-10 keV) because interaction cross-sections are too small – need more material.
• Thick semiconductor detectors– CdTe, CdZnTe, Ge, PbI2, HgI2, …
– Work like X-ray semiconductor detectors– Typically have pixilated readout, one channel per
pixel– Typical thickness 0.1 to several millimeters
Detectors for 100 keV – 10 MeV
• Scintillators – convert gamma-ray to optical photons then detect optical photons
Thick scintillators are cheaper than thick semiconductors.
Energy resolution is worse because only part of optical light is collected.
Photomultipliers are the traditional photo-detectors.
Phototube
Photon produces an electron by interacting with photocathode.
Electron is accelerated by E-field, produces multiple electrons upon striking dynode. Several stages of dynodes can give multiplications of 106. Response time is in nanoseconds.
Compton Telescope
iEE
EEE
mcE
)(
1)cos(212
21
1
Direction of incident photon can be measured to within a cone around the vector between the two interactions:
COMPTEL
Advanced Compton Telescope
Many layers of position sensitive silicon detectors.
Much better sensitivity than COMPTEL.
30 MeV to 10 GeV
In 30 MeV to 10 GeV range use pair conversion, then measure tracks of electron-positron pair.
Old detectors used spark chambers. New detectors (Agile, GLAST) use silicon strip detectors.
Energy is measured using a scintillator at bottom.
Ionizing Particle
Energetic particle
Electron in medium
rel)(non 1
or 12
2
2sinF
2222
422
2
0
2
2
2
pvmvb
ez
m
pE
bv
zed
bv
zedt
r
zeF
ee
e
b
Bethe-Bloch FormulaNeed to integrate over impact parameter b and ionization potential of atoms I, find
2
222
2
42 2ln
c
v
I
vm
vm
Nez
dx
dE e
e
e
Low energy dependence is ~ 1/v2, reaches minimum around mec2, increases as ln(2) at high energies.
Ionizing Particle
Radiation Length
Total radiation loss of an electron traversing a medium is
)/exp( 000
XxEEX
E
dx
dE
Where X0 is the “radiation length”.
GLAST
Interleaved Si strips and converters, strips alternate in direction.
Calorimeter for energy measurement.
Segmented anticoincidence.
Expected launch in late 2007.
Ionizing Particle
Glast strips are 400 microns thick. A minimum ionizing particle deposits 388 eV/micron in Si or about 0.16 MeV in each layer of silicon.
Electron/positron trajectory is slightly altered by multiple scatttering (same process leading to energy loss). The RMS deflection in a layer of thickness t is
0X
t
pv
Esrms Es = 21 MeV
Angular Resolution
Strip pitch is 228 microns, tracker height is 50 cm, best possible angular resolution is 0.03 degrees.
Angular resolution is worse, and depends on energy, due to multiple scattering in converter and Si.
Energies above 30 GeV
• Effective area of pair production telescope is limited to cross-section of the telescope, GLAST geometric area is 25,600 cm2, effective area is ~ 1 m2.
• Photon flux from Crab at energies above 60 GeV is 610-10 photon cm-2 s-1. Rate in 1 m2
detector is 610-6 photon/second = 0.5 photon/day.
• Need detector with much larger effective area.
Electron-Photon CascadesFor ultrarelativistic electrons (or positions), the radiation length is the same for bremsstrahlung radiation as for pair production, pair ~ bremss
Cherenkov RadiationRadiation induced by a charged particle that moves faster than the speed of light in a medium
The wavefront of the radiation propagates at a fixed angle with respect to the velocity vector of the particle.
Cherenkov ConeCherenkov radiation is contained in a cone around the direction of motion with an opening angle
v
nc /cos
where n is the index of refraction of the medium. Radiation is produced only when the particle moves at relativistic speeds v > c/n. For air n = 1.0003.The radiative power per unit frequency is given by
fvn
c
c
ve
df
fdP
22
2
2
2
12)(
Air Cherenkov Telescope
Effective area is given by size of light pool, about 120 meters in radius with an area of 5104 m2.
Extensive Air Showers
Cosmic ray rate above 1019 eV is one particle per square kilometer per year.
Auger Observatory has 1,600 detectors (water tanks) separated by 1.5 km.