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Particle Physics Booklet - Particle Data Group - Lawrence Berkeley ...

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254 28. Detectors at accelerators<br />

In all cases there is a premium on small λI/ρ and X0/ρ (both with<br />

units of length). These quantities are shown for Z>20 for the chemical<br />

elements in Fig. 28.21.<br />

These considerations are for sampling calorimeters consisting of metallic<br />

absorber sandwiched or (threaded) with an active material which generates<br />

signal. The active medium may be a scintillator, an ionizing noble liquid,<br />

a gas chamber, a semiconductor, or a Cherenkov radiator.<br />

There are also homogeneous calorimeters, in which the entire volume<br />

is sensitive, i.e., contributes signal. Homogeneous calorimeters (so far<br />

usually electromagnetic) may be built with inorganic heavy (high density,<br />

high 〈Z〉) scintillating crystals, or non-scintillating Cherenkov radiators<br />

such as lead glass and lead fluoride. Scintillation light and/or ionization<br />

in noble liquids can be detected. Nuclear interaction lengths in inorganic<br />

crystals range from 17.8 cm (LuAlO3) to 42.2 cm (NaI).<br />

28.9.1. Electromagnetic calorimeters :<br />

Revised October 2009 by R.-Y. Zhu (California Inst. of Technology).<br />

The development of electromagnetic showers is discussed in the section<br />

on “Passage of <strong>Particle</strong>s Through Matter” (Sec. 27 of this Review).<br />

The energy resolution σE/E of a calorimeter can be parametrized as<br />

a/ √ E ⊕ b ⊕ c/E, where⊕represents addition in quadrature and E is in<br />

GeV. The stochastic term a represents statistics-related fluctuations such<br />

as intrinsic shower fluctuations, photoelectron statistics, dead material at<br />

the front of the calorimeter, and sampling fluctuations. For a fixed number<br />

of radiation lengths, the stochastic term a for a sampling calorimeter is<br />

expected to be proportional to � t/f, wheretis plate thickness and f<br />

is sampling fraction [123,124]. While a is at a few percent level for a<br />

homogeneous calorimeter, it is typically 10% for sampling calorimeters.<br />

The main contributions to the systematic, or constant, term b are<br />

detector non-uniformity and calibration uncertainty. In the case of the<br />

hadronic cascades discussed below, non-compensation also contributes to<br />

the constant term. One additional contribution to the constant term for<br />

calorimeters built for modern high-energy physics experiments, operated<br />

in a high-beam intensity environment, is radiation damage of the active<br />

medium. This can be minimized by developing radiation-hard active<br />

media [47] and by frequent in situ calibration and monitoring [46,124].<br />

28.9.2. Hadronic calorimeters : [1–5,124]<br />

Written April 2008 by D. E. Groom (LBNL).<br />

Most large hadron calorimeters are sampling calorimeters which are<br />

parts of complicated 4π detectors at colliding beam facilities. Typically,<br />

the basic structure is plates of absorber (Fe, Pb, Cu, or occasionally U or<br />

W) alternating with plastic scintillators (plates, tiles, bars), liquid argon<br />

(LAr), or gaseous detectors. The ionization is measured directly, as in LAr<br />

calorimeters, or via scintillation light observed by photodetectors (usually<br />

PMT’s). Waveshifting fibers are often used to solve difficult problems of<br />

geometry and light collection uniformity. Silicon sensors are being studied<br />

for ILC detectors; in this case e-h pairs are collected.<br />

In an inelastic hadronic collision a significant fraction fem of the<br />

energy is removed from further hadronic interaction by the production<br />

of secondary π0 ’s and η’s, whose decay photons generate high-energy<br />

electromagnetic (EM) cascades. Charged secondaries (π ± , p, ...)deposit<br />

energy via ionization and excitation, but also interact with nuclei,<br />

producing spallation protons and neutrons, evaporation neutrons, and<br />

recoiling nuclei in highly excited states. The charged collision products<br />

produce detectable ionization, as do the showering γ-rays from the prompt<br />

de-excitation of highly excited nuclei. The recoiling nuclei generate little

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