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Studies of the spectral and angular distributions of transition radiation using a silicon pixel sensor on a Timepix3 chip

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Abstract

X-ray transition radiation detectors (TRDs) are used for particle identification in both high energy physics and astroparticle physics. In most of the detectors, emission of the X-ray transition radiation (TR) starts at Lorentz factors above γ∼500 and reaches saturation at γ∼2÷3⋅103. However, many experiments require particle identification up to γ∼105, which is very difficult to achieve with conventional detectors. Semiconductor pixel detectors offer a unique opportunity for precise simultaneous measurements of spectral and angular parameters of TR photons. Test beam studies of the energy and the angular distributions of TR photons emitted by electrons and muons of different momenta crossing several types of radiators were performed at the CERN SPS with a 480 μm thick silicon detector bonded to a Timepix3 chip. High resolution images of the energy−angle phase space of the TR produced by different radiators were obtained and compared with MC simulations. The characteristic interference patterns are in agreement with the theoretical models with an unprecedented level of details. The studies presented in this paper also show that simultaneous measurements of both the energy and the emission angles of the TR X-rays could be used to enhance the particle identification performances of TRDs.

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... The probability density function of TR is a fairly complex function of γ, radiator parameters, photon energy (ω) and its emission angle (θ). For well defined radiator parameters a measured two-dimensional distribution of photon energy vs its reconstructed emission angle is in very good agreement with the theory predictions [176]. ...
... For a single foil the largest part of the TR energy is emitted around the most probable angle θ = (1/γ 2 + ω 2 2 /ω 2 ) 1/2 , where ω 2 is the plasma frequency of the gas surrounding the radiator material elements. However, in case of multiple interfaces, interference effects may significantly change this angle and more realistic expression for the angle which corresponds to the last interference maximum of the energy spectra is θ ≈ 1.4π 2 /γ 2 sat − 1/γ 2 [176]. The higher is the gamma-factor, the larger is the angle of the first interference maximum. ...
... It reaches almost its asymptotic limit at γ = γ sat . This effect is illustrated in Fig. 35.17 [176] which shows two-dimensional distribution of the TR photon energy versus the reconstructed production angle obtained in 20 GeV electron beam with the radiator containing a stack of foils of 15.5 µm thickness spaced by 210 µm (the left plot) using a Si-pixel detector. TR produced by 20 GeV electrons is emitted mostly around θ ∼ 0.9 mrad. ...
Book
Prog. Theor. Exp. Phys. 2020, 083C01 (2020) and 2021 update.
... We have designed an experimental setup to measure the energy spectra and the angular distributions of the TR X-rays emitted by fast electrons and positrons crossing different radiators. Similar measurements were performed in the past at the CERN SPS with beams of 20 GeV/ electrons and of 120, 180 and 290 GeV/ muons, using silicon strip detectors [6], silicon pixel detectors [7,8] and GaAs pixel detectors [8,9]. Parallel to the measurements, an effort to develop accurate Monte Carlo simulations of the TR process is being carried out [10]. ...
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We have designed and implemented an experiment to measure the angular distributions and the energy spectra of the transition radiation X-rays emitted by fast electrons and positrons crossing different radiators. Our experiment was selected among the proposals of the 2021 Beamline for Schools contest, a competition for high-school students organized every year by CERN, and was performed at the DESY II Test Beam facility area TB21, using a high-purity beam of electrons or positrons with momenta in the range from 1 to 6 GeV/ c . The measurements were performed using a 100 μm thick silicon pixel detector, with a pitch of 55 μm. Our results are consistent with the expectations from the theoretical models describing the production of transition radiation in multilayer regular radiators.
... For each radiator the beam particle, their momenta and the distance between the radiator and the X-ray detector are reported. detectors [7,8] and GaAs pixel detectors [8,9]. Parallel to the measurements, an effort to develop accurate Monte Carlo simulations of the TR process is being carried out [10]. ...
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Full-text available
We have designed and implemented an experiment to measure the angular distributions and the energy spectra of the transition radiation X-rays emitted by fast electrons and positrons crossing different radiators. Our experiment was selected among the proposals of the 2021 Beamline for Schools contest, a competition for high-school students organized every year by CERN, and was performed at the DESY II Test Beam facility area TB21, using a high-purity beam of electrons or positrons with momenta in the range from 1 to 6 GeV/c. The measurements were performed using a 100 um thick silicon pixel detector, with a pitch of 55 um. Our results are consistent with the expectations from the theoretical models describing the production of transition radiation in multilayer regular radiators.
... At accelerators, most applications have used TRDs to identify electrons (as examples, see refs. [8,9]), and the ATLAS group has recently conducted an extensive series of beam exposures that have enabled detailed comparisons of the experimental results with GEANT predictions [10,11,12]. ...
Preprint
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Transition radiation detectors (TRDs) have been used to identify high-energy particles (in particular, to separate electrons from heavier particles) in accelerator experiments. In space, they have been used to identify cosmic-ray electrons and measure the energies of cosmic-ray nuclei. To date, radiators have consisted of regular configurations of foils with fixed values of foil thickness and spacing (or foam or fiber radiators with comparable average dimensions) that have operated over a relatively restricted range of Lorentz factors. In order to extend the applicability of future TRDs (for example, to identify 0.5 - 3 TeV pions, kaons, and protons in the far forward region in a future accelerator experiment or to measure the energy spectrum of cosmic-ray nuclei up to 20 TeV/nucleon or higher), there is a need to increase the signal strength and extend the range of Lorentz factors that can be measured in a single detector. A possible approach is to utilize compound radiators consisting of varying radiator parameters. We discuss the case of a compound radiator and derive the yield produced in a TRD with an arbitrary configuration of foil thicknesses and spacings.
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Transition radiation effects in particle energy losses
  • Garibian