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74 Detectors<br />

Springer, New York, NY, 1994; C. Leroy P.-G. Rancoita Principles of Radiation Interaction<br />

in Matter and Detection, World Sci., Singapore, 2004; A.C. Melissinos, J.<br />

Napolitano, Experiments in Modern <strong>Physics</strong>, 2nd edition, Academic Press, Elsevier,<br />

(2003); Experimental Techniques in High Energy <strong>Physics</strong>, (T. Ferbel, ed.), Addison-<br />

Wesley, Menlo Park, CA, 1987; C. Grupen, Particle Detectors, Cambridge Univ.<br />

Press, Cambridge 1996; D. Green, The <strong>Physics</strong> of Particle Detectors, Cambridge<br />

Univ.Press, Cambridge, 2000.<br />

There exist many good books on the application of statistics to experiments:<br />

P. Bevington, D.K. Robinson, Data Reduction and Error Analysis for the Physical<br />

Sciences, McGraw-Hill, 2003; B.P. Roe, Probability and Statistics in Experimental<br />

<strong>Physics</strong>, Springer-Verlag, NY, 2001; J.R. Taylor, An Introduction to Error<br />

Analysis: The Study of Uncertainties in Physical Measurements, University Science<br />

Books, 1997. Detailed treatments of statistical methods are given in D. Drijard,<br />

W.T. Eadie, F.E. James, M.G.W. Roos, and B. Sadoulet, Statistical Methods in<br />

Experimental <strong>Physics</strong>, North-Holland, Amsterdam, 1971; T. Tanaka, Methods of<br />

Statistical <strong>Physics</strong>, Cambridge University Press, New York, 2002.<br />

Various aspects of data gathering and evaluation are surveyed in Data Acquisition<br />

in High-Energy <strong>Physics</strong>. (G. Gologna and M. Vincelli, eds.), North-Holland,<br />

Amsterdam, 1982.<br />

Electronics is treated in a number of texts, for instance: P. Horowitz, W. Hill,<br />

The Art of Electronics, Cambridge University Press, 1989; J.J. Brophy, Basic electronics<br />

for scientists, McGraw-Hill, 1983.<br />

A recent review on all components of detectors for the LHC can be found in D.<br />

Froidevaux, P. Sphicas, Annu. Rev. Nuc. Part. Sci. 56, 375 (2006).<br />

Problems<br />

4.1. ∗ Find the circuit diagram for a photomultiplier. Discuss the importance and<br />

the choice of the components.<br />

4.2. A proton with kinetic energy Ek impinges on a 5 cm thick plastic scintillator.<br />

Sketch the light output as a function of Ek.<br />

4.3. Three-MeV photons are counted by a 7 × 7cm 2 NaI(Tl) counter.<br />

(a) Sketch the spectrum.<br />

(b) Find the probability of observing the photon in the full-energy peak.<br />

4.4. The 14 keV gamma rays from 57 Fe must be counted with a NaI(Tl) counter.<br />

Higher-energy gamma rays are a nuisance. Find the optimum thickness of the<br />

NaI(Tl) crystal.<br />

4.5. Compute and draw the Poisson distribution for n =1andn = 100.

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