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em08.bremsstrahlung

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Slide deck, apparently a Geant4 tutorial by M. Maire (LAPP), dated 18.02.02, on bremsstrahlung physics. It covers the Bethe-Heitler cross-section formula and its corrections: nuclear field screening, atomic electron contributions, the Born approximation, dielectric suppression and the LPM effect. It also gives the high-energy limit, radiation length and mean energy loss. The text layer is heavily garbled by font encoding, so details are partly inferred.

AI-written summary; may contain errors. This description is approximate.

Extracted text (machine-read; may contain errors)
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/D3/CU /CP/D8/D3/D1/D7 /D4/CT /D6 /DA /D3/D0/D9/D1/CT/BA /CC/CW/CT /CX/D2 /D8/CT/CV/D6/CP/D8/CX/D3/D2 /CX/D1/D1/CT/CS/CX/CP/D8/CT/D0/DD /CV/CX/DA /CT/D7/BM /A0/CS/BX /CS/DC/BP/BX /CG /BC/B4/BF/B5 /DB/CX/D8/CW/BM /BD /CG /BC/CS/CT/CU /BP /BG /AB /D6/BE /CT/D2 /CP/D8/A8 /CI/BE /CJ /C4 /D6/CP /CS/A0 /CU /B4 /CI /B5/CL /B7 /CI/C4/BC /D6/CP /CS/A9 /BZ /CT/CP/D2/D8/BG /CC /D9/D8/D3/D6/CX/CP/D0 /B9 /CB/D0/CP/CR/B8 /BD/BK/BA/BC/BE/BA/BC/BE /C5/BA/C5/CP/CX/D6/CT /B4/C4/CP/D4/D4/B5 /BU /D6/CT/D1/D7/D7/D8/D6/CP/CW/D0/D9/D2/CV /BD/BC /B3 /B2/B0 /B1 /CA/CP/CS/CX/CP/D8/CX/D3/D2 /C4/CT/D2/CV/D8/CW /CC/CW/CT /D6/CP/CS/CX/CP/D8/CX/D3/D2 /D0/CT/D2/CV/D8/CW /CW/CP/D7 /CQ/CT /CT /D2 /CR/CP/D0/CR/D9/D0/CP/D8/CT/CS /CQ /DD /CH/BA /CC/D7/CP/CX /CJ/CC/D7/CP/CX/BJ/BG /CL /BD /CG /BC/BP /BG /AB /D6/BE /CT/D2 /CP/D8/A8 /CI/BE /CJ /C4 /D6/CP /CS/A0 /CU /B4 /CI /B5/CL /B7 /CI/C4/BC /D6/CP /CS/A9 /DB/CW/CT/D6/CT /AB /AC/D2/CT /D7/D8/D6/D9/CR/D8/D9/D6/CT /CR/D3/D2/D7/D8/CP/D2 /D8 /D6 /CT/CR/D0/CP/D7/D7/CX/CR/CP/D0 /CT/D0/CT/CR/D8/D6/D3/D2 /D6/CP/CS/CX/D9/D7 /D2 /CP/D8/D2 /D9/D1 /CQ/CT /D6 /D3/CU /CP/D8/D3/D1/D7 /D4/CT /D6 /DA /D3/D0/D9/D1/CT/BM /C6 /CP/DA/AQ/BP /BT /C4 /D6/CP /CS/B4 /CI /B5 /D0/D2 /B4/BD/BK/BG /BM /BD/BH /BP /CI/BD /BP /BF /B5 /B4/CU/D3/D6 /CI /AL /BH /B5 /C4/BC /D6/CP /CS/B4 /CI /B5 /D0/D2 /B4/BD/BD/BL/BG /BP /CI/BE /BP /BF /B5 /B4/CU/D3/D6 /CI /AL /BH /B5 /CU /B4 /CI /B5 /BV/D3/D9/D0/D3/D1 /CQ /CR/D3/D6/D6/CT/CR/D8/CX/D3/D2 /CU/D9/D2/CR/D8/CX/D3/D2 /CU /B4 /CI /B5 /BP /CP/BE /CJ/B4/BD /B7 /CP/BE /B5/A0 /BD /B7 /BC /BM /BE/BC/BE/BC/BI /A0 /BC /BM /BC/BF/BI/BL /CP/BE /B7 /BC /BM /BC/BC/BK/BF /CP/BG /A0 /BC /BM /BC/BC/BE /CP/BI /A1/A1/A1 /CL /DB/CX/D8/CW /CP /BP /AB/CI /BZ /CT/CP/D2/D8/BG /CC /D9/D8/D3/D6/CX/CP/D0 /B9 /CB/D0/CP/CR/B8 /BD/BK/BA/BC/BE/BA/BC/BE /C5/BA/C5/CP/CX/D6/CT /B4/C4/CP/D4/D4/B5 /BU /D6/CT/D1/D7/D7/D8/D6/CP/CW/D0/D9/D2/CV /BD/BD /B3 /B2/B0 /B1 /D1/CP/CX/D2 /CR/D3/D2/CR/D0/D9/D7/CX/D3/D2/BM /CC/CW/CT /D6/CT/D0/CP/D8/CX/D3/D2 /BF /D7/CW/D3 /DB/D7 /D8/CW/CP/D8 /D8/CW/CT /CP /DA /CT/D6/CP/CV/CT /CT/D2/CT/D6/CV/DD /D0/D3/D7/D7 /D4/CT /D6 /D9/D2/CX/D8 /D4/CP/D8/CW /D0/CT/D2/CV/D8/CW /CS/D9/CT /D8/D3 /D8/CW/CT /CQ/D6/CT/D1/D7/D7/D8/D6/CP/CW/D0/D9/D2/CV /CX/D2/CR/D6/CT/CP/D7/CT/D7 /D0/CX/D2/CT/CP/D6/D0/DD /DB/CX/D8/CW /D8/CW/CT /CX/D2/CX/D8/CX/CP/D0 /CT/D2/CT/D6/CV/DD /D3/CU /D8/CW/CT /D4/D6/D3 /CY/CT/CR/D8/CX/D0/CT/BA /CT/D5/D9/CX/DA /CP/D0/CT/D2 /D8/BM /BX /B4 /DC /B5 /BP /BX /B4/BC/B5 /CT/DC/D4/AI /A0/DC /CG /BC/AJ /CC/CW/CX/D7 /CX/D7 /D8/CW/CT /CT/DC/D4 /D3/D2/CT/D2 /D8/CX/CP/D0 /CP/D8/D8/CT/D2 /D9/CP/D8/CX/D3/D2 /D3/CU /D8/CW/CT /CT/D2/CT/D6/CV/DD /D3/CU /D8/CW/CT /D4/D6/D3 /CY/CT/CR/D8/CX/D0/CT /CQ /DD /D6/CP/CS/CX/CP/D8/CX/D3/D2 /D0/D3/D7/D7/CT/D7/BA /BZ /CT/CP/D2/D8/BG /CC /D9/D8/D3/D6/CX/CP/D0 /B9 /CB/D0/CP/CR/B8 /BD/BK/BA/BC/BE/BA/BC/BE /C5/BA/C5/CP/CX/D6/CT /B4/C4/CP/D4/D4/B5 /BU /D6/CT/D1/D7/D7/D8/D6/CP/CW/D0/D9/D2/CV /BD/BE /B3 /B2/B0 /B1 /CR/D6/CX/D8/CX/CR/CP/D0 /CT/D2/CT/D6/CV/DD /CC/CW/CT /D8/D3/D8/CP/D0 /D1/CT/CP/D2 /D6/CP/D8/CT /D3/CU /CT/D2/CT/D6/CV/DD /D0/D3/D7/D7 /CX/D7 /D8/CW/CT /D7/D9/D1 /D3/CU /CX/D3/D2/CX/DE/CP/D8/CX/D3/D2 /CP/D2/CS /CQ/D6/CT/D1/D7/D7/D8/D6/CP/CW/D0/D9/D2/CV/BA /CC/CW/CT /CR/D6/CX/D8/CX/CR /CP/D0 /CT/D2/CT/D6 /CV/DD /BX /CR/CX/D7 /D8/CW/CT /CT/D2/CT/D6/CV/DD /CP/D8 /DB/CW/CX/CR /CW /D8/CW/CT /D8 /DB /D3 /D6/CP/D8/CT/D7 /CP/D6/CT /CT/D5/D9/CP/D0/BA /BT/CQ /D3 /DA /CT /BX /CR/D8/CW/CT /D8/D3/D8/CP/D0 /CT/D2/CT/D6/CV/DD /D0/D3/D7/D7 /D6/CP/D8/CT /CX/D7 /CS/D3/D1/CX/D2/CP/D8/CT/CS /CQ /DD /CQ/D6/CT/D1/D7/D7/D8/D6/CP/CW/D0/D9/D2/CV/BA 2 5 10 20 50 100 20 0Copper X0 = 12.86 g cm−2 Ec = 19.63 MeVdE/dx × X0 (MeV) Electron energy (MeV) 10 20 30 50 70100200 40 Brems = ionizationIonizationRossi: Ionization per X0= electron energy To talBrems ≈EExactbre msstrahlung Ec (MeV) Z12 5 1 0 2 0 5 0 1 0 0 5 10 20 50100200400 610 MeV________ Z + 1.24710 MeV________ Z + 0.92 Solids Gases HH e L i B e B C N O N e S n Fe /BZ /CT/CP/D2/D8/BG /CC /D9/D8/D3/D6/CX/CP/D0 /B9 /CB/D0/CP/CR/B8 /BD/BK/BA/BC/BE/BA/BC/BE /C5/BA/C5/CP/CX/D6/CT /B4/C4/CP/D4/D4/B5 /BU /D6/CT/D1/D7/D7/D8/D6/CP/CW/D0/D9/D2/CV /BD/BF /B3 /B2/B0 /B1 /CS/BX/BB/CS/DC /CU/D3/D6 /CT/D0/CT/CR/D8/D6/D3/D2/D7 Tables for ELECTRON in Aluminium LOSS (MeV/cm) /CT/D0/CT/CR/D8/D6/D3/D2 /CZ/CX/D2/CT/D8/CX/CR /CT/D2/CT/D6/CV/DD /B4/BZ/CT/CE/B5 /BZ /CT/CP/D2/D8/BG /CC /D9/D8/D3/D6/CX/CP/D0 /B9 /CB/D0/CP/CR/B8 /BD/BK/BA/BC/BE/BA/BC/BE /C5/BA/C5/CP/CX/D6/CT /B4/C4/CP/D4/D4/B5 /BU /D6/CT/D1/D7/D7/D8/D6/CP/CW/D0/D9/D2/CV /BD/BG /B3 /B2/B0 /B1 /CT/A0 /BD /BZ/CT/CE /CX/D2 /BD /D1/CT/D8/CT/D6 /D3/CU /BT/D0/D9/D1/CX/D2/CX/D9/D1/BA /BU/D6/CT/D1/D7 /CR/D3/D9/D2 /D8/CT/CS /CP/D7 /CR/D3/D2 /D8/CX/D2 /D9/D3/D9/D7 /CT/D2/CT/D6/CV/DD /D0/D3/D7/D7 /DA /CT/D6/D7/D9/D7 /CR/CP/D7/CR/CP/CS/CT /CS/CT/DA /CT/D0/D3/D4/D1/CT/D2 /D8 WORLEVENT NR 4RUN NR 122/ 9/ 0 10 cm WORLEVENT NR 5RUN NR 122/ 9/ 0 10 cm WORLEVENT NR 6RUN NR 122/ 9/ 0 10 cm /BZ /CT/CP/D2/D8/BG /CC /D9/D8/D3/D6/CX/CP/D0 /B9 /CB/D0/CP/CR/B8 /BD/BK/BA/BC/BE/BA/BC/BE /C5/BA/C5/CP/CX/D6/CT /B4/C4/CP/D4/D4/B5 /BU /D6/CT/D1/D7/D7/D8/D6/CP/CW/D0/D9/D2/CV /BD/BH /B3 /B2/B0 /B1 /AD/D9/CR/D8/D9/CP/D8/CX/D3/D2/D7 /BM /CD/D2/D0/CX/CZ /CT /D8/CW/CT /CX/D3/D2/CX/DE/CP/D8/CX/D3/D2 /D0/D3/D7/D7 /DB/CW/CX/CR /CW /CX/D7 /D5/D9/CP/D7/CX/CR/D3/D2 /D8/CX/D2 /D9/D3/D9/D7 /CP/D0/D3/D2/CV /D8/CW/CT /D4/CP/D8/CW /D0/CT/D2/CV/D8/CW/B8 /CP/D0/D1/D3/D7/D8 /CP/D0/D0 /D8/CW/CT /CT/D2/CT/D6/CV/DD /CR/CP/D2 /CQ/CT /CT/D1/CX/D8/D8/CT/CS /CX/D2 /D3/D2/CT /D3/D6 /D8 /DB /D3 /D4/CW/D3/D8/D3/D2/D7/BA /CC/CW /D9/D7/B8 /D8/CW/CT /AD/D9/CR/D8/D9/CP/D8/CX/D3/D2/D7 /D3/D2 /CT/D2/CT/D6/CV/DD /D0/D3/D7/D7 /CQ /DD /CQ/D6/CT/D1/D7/D8/D6/CP/CW/D0/D9/D2/CV /CP/D6/CT /D0/CP/D6/CV/CT/BA /BZ /CT/CP/D2/D8/BG /CC /D9/D8/D3/D6/CX/CP/D0 /B9 /CB/D0/CP/CR/B8 /BD/BK/BA/BC/BE/BA/BC/BE /C5/BA/C5/CP/CX/D6/CT /B4/C4/CP/D4/D4/B5 /BU /D6/CT/D1/D7/D7/D8/D6/CP/CW/D0/D9/D2/CV /BD/BI /B3 /B2/B0 /B1 /BX/D2/CT/D6/CV/CT/D8/CX/CR /D4/CW/D3/D8/D3/D2/D7 /CP/D2/CS /D8/D6/D9/D2/CR/CP/D8/CT/CS /CT/D2/CT/D6/CV/DD /D0/D3/D7/D7 /D6/CP/D8/CT /C7/D2/CT /D1/CP /DD /DB/CX/D7/CW /D8/D3 /D8/CP/CZ /CT /CX/D2 /D8/D3 /CP/CR/CR/D3/D9/D2 /D8 /D7/CT/D4/CP/D6/CP/D8/CT/D0/DD /D8/CW/CT /CW/CX/CV/CW/B9/CT/D2/CT/D6/CV/DD /D4/CW/D3/D8/D3/D2/D7 /CT/D1/CX/D8/D8/CT/CS /CP/CQ /D3 /DA /CT /CP /CV/CX/DA /CT/D2 /D8/CW/D6/CT/D7/CW/D3/D0/CS /CZ /CR/D9/D8/B4/D1/CX/D7/D7 /CS/CT/D8/CT/CR/D8/CX/D3/D2/B8 /CT/DC/D4/D0/CX/CR/CX/D8 /D7/CX/D1 /D9/D0/CP/D8/CX/D3/D2 /BA/BA/BA/B5/BA /CC/CW/D3/D7/CT /D4/CW/D3/D8/D3/D2/D7 /D1 /D9/D7/D8 /CQ/CT /CT/DC/CR/D0/D9/CS/CT/CS /CU/D6/D3/D1 /D8/CW/CT /D1/CT/CP/D2 /CT/D2/CT/D6/CV/DD /D0/D3/D7/D7 /CR/D3/D9/D2 /D8/BA /A0/CS/BX /CS/DC/AL /CZ/BO /CZ /CR/D9/D8/BP /D2 /CP/D8/CZ /CR/D9/D8 /CI /CZ /D1/CX/D2/BP/BC/CZ/CS/AR /CS/CZ/CS/CZ /B4/BG/B5 /D2 /CP/D8/CX/D7 /D8/CW/CT /D2 /D9/D1 /CQ/CT /D6 /D3/CU /CP/D8/D3/D1/D7 /D4/CT /D6 /DA /D3/D0/D9/D1/CT/BA /CC/CW/CT/D2/B8 /D8/CW/CT /D8/D6/D9/D2/CR/CP/D8/CT/CS /D8/D3/D8/CP/D0 /CR/D6/D3/D7/D7/B9/D7/CT/CR/D8/CX/D3/D2 /CU/D3/D6 /CT/D1/CX/D8/D8/CX/D2/CV /B3/CW/CP/D6/CS/B3 /D4/CW/D3/D8/D3/D2/D7 /CX/D7/BM /AR /B4 /BX/BN /CZ /CR/D9/D8/AK /CZ /AK /CZ /D1/CP/DC/B5 /BP/CZ /D1/CP/DC/AP /BX /CI /CZ /CR/D9/D8/CS/AR /CS/CZ/CS/CZ /B4/BH/B5 /BZ /CT/CP/D2/D8/BG /CC /D9/D8/D3/D6/CX/CP/D0 /B9 /CB/D0/CP/CR/B8 /BD/BK/BA/BC/BE/BA/BC/BE /C5/BA/C5/CP/CX/D6/CT /B4/C4/CP/D4/D4/B5 /BU /D6/CT/D1/D7/D7/D8/D6/CP/CW/D0/D9/D2/CV /BD/BJ /B3 /B2/B0 /B1 /C1/D2 /D8/CW/CT /CW/CX/CV/CW /CT/D2/CT/D6/CV/CX/CT/D7 /D6/CT/CV/CX/D1/CT/B8 /D3/D2/CT /CR/CP/D2 /D9/D7/CT /D8/CW/CT /CR/D3/D1/D4/D0/CT/D8/CT /D7/CR/D6/CT/CT/D2/CT/CS /CT/DC/D4/D6/CT/D7/D7/CX/D3/D2 /BD /D3/CU /CS/AR /BP/CS/CZ /D8/D3 /CX/D2 /D8/CT/CV/D6/CP/D8/CT /BH/BA /CC/CW/CX/D7 /CV/CX/DA /CT/D7/BM /CU/D3/D6 /BX /AT /CZ /CR/D9/D8/BM /AR /CQ/D6/B4 /BX/BN /CZ /AL /CZ /CR/D9/D8/B5 /AP/BG /BF/BD /D2 /CP/D8/CG /BC/D0/D2/AK /BX /CZ /CR/D9/D8/AL /B4/BI/B5 /CC/CW/CT /CQ/D6/CT/D1/D7/D7/D8/D6/CP/CW/D0/D9/D2/CV /D8/D3/D8/CP/D0 /CR/D6/D3/D7/D7 /D7/CT/CR/D8/CX/D3/D2 /CX/D2/CR/D6/CT/CP/D7/CT/D7 /CP/D7 /D0/D2 /BX /BA /B4/CX/D2 /CU/CP/CR/D8/B8 /D8/CP/CZ/CX/D2/CV /CX/D2 /D8/D3 /CP/CR/CR/D3/D9/D2 /D8 /D8/CW/CT /C4/C8/C5 /CT/AB/CT/CR/D8 /D0/CT/CP/CS/D7 /D8/D3 /AR /CQ/D6/BB /BD /BP/D4 /BX /DB/CW/CT/D2 /BX /BQ /BX /D0/D4/D1/B5 /D8/CW/CT /CP /DA /CT/D6/CP/CV/CT /CP/D2/CV/D0/CT /D3/CU /CT/D1/CX/D7/D7/CX/D3/D2 /D3/CU /D8/CW/CT /D4/CW/D3/D8/D3/D2 /CX/D7 /AI /BP/D1/CR/BE /BX /DB/CW/CX/CR /CW /CX/D7 /CX/D2/CS/CT/D4 /CT/D2/CS/CT/D2 /D8 /D3/CU /D8/CW/CT /CT/D2/CT/D6/CV/DD /D3/CU /D8/CW/CT /CT/D1/CX/D8/D8/CT/CS /D4/CW/D3/D8/D3/D2/BA /BZ /CT/CP/D2/D8/BG /CC /D9/D8/D3/D6/CX/CP/D0 /B9 /CB/D0/CP/CR/B8 /BD/BK/BA/BC/BE/BA/BC/BE /C5/BA/C5/CP/CX/D6/CT /B4/C4/CP/D4/D4/B5 /BU /D6/CT/D1/D7/D7/D8/D6/CP/CW/D0/D9/D2/CV /BD/BK /B3 /B2/B0 /B1 /D2 /D9/D1 /CQ/CT /D6 /D3/CU /CX/D2 /D8/CT/D6/CP/CR/D8/CX/D3/D2/D7 /D4/CT /D6 /D1/D1 /CX/D2 /C4/CT/CP/CS /B4/CR/D9/D8 /BD/BC /CZ /CT/CE/B5 /CT/D0/CT/CR/D8/D6/D3/D2 /CZ/CX/D2/CT/D8/CX/CR /CT/D2/CT/D6/CV/DD /B4/D0/D2/B4/C5/CT/CE/B5/B5 /BZ /CT/CP/D2/D8/BG /CC /D9/D8/D3/D6/CX/CP/D0 /B9 /CB/D0/CP/CR/B8 /BD/BK/BA/BC/BE/BA/BC/BE /C5/BA/C5/CP/CX/D6/CT /B4/C4/CP/D4/D4/B5 /BU /D6/CT/D1/D7/D7/D8/D6/CP/CW/D0/D9/D2/CV /BD/BL /B3 /B2/B0 /B1 /CT/A0 /BE/BC/BC /C5/CT/CE /CX/D2 /BD/BC /CR/D1 /BT/D0/D9/D1/CX/D2/CX/D9/D1 WORLEVENT NR 1RUN NR 111/ 9/ 0 1 cm /BZ /CT/CP/D2/D8/BG /CC /D9/D8/D3/D6/CX/CP/D0 /B9 /CB/D0/CP/CR/B8 /BD/BK/BA/BC/BE/BA/BC/BE /C5/BA/C5/CP/CX/D6/CT /B4/C4/CP/D4/D4/B5 /BU /D6/CT/D1/D7/D7/D8/D6/CP/CW/D0/D9/D2/CV /BE/BC /B3 /B2/B0 /B1 /CT/A0 /BE/BC/BC /C5/CT/CE /CX/D2 /BD/BC /CR/D1 /BT/D0/D9/D1/CX/D2/CX/D9/D1 /B4/CR/D9/D8/BM /BD /C5/CT/CE/B8 /BD/BC /CZ /CT/CE/B5/BA /BY/CX/CT/D0/CS /BH /D8/CT/D7/D0/CP WORLEVENT NR 2RUN NR 111/ 9/ 0 1 cm WORLEVENT NR 2RUN NR 111/ 9/ 0 1 cm /BZ /CT/CP/D2/D8/BG /CC /D9/D8/D3/D6/CX/CP/D0 /B9 /CB/D0/CP/CR/B8 /BD/BK/BA/BC/BE/BA/BC/BE /C5/BA/C5/CP/CX/D6/CT /B4/C4/CP/D4/D4/B5 /BU /D6/CT/D1/D7/D7/D8/D6/CP/CW/D0/D9/D2/CV /BE/BD /B3 /B2/B0 /B1 /BU/D6/CT/D1/D7/D7/D8/D6/CP/CW/D0/D9/D2/CV /CQ /DD /CW/CX/CV/CW /CT/D2/CT/D6/CV/DD /D1 /D9/D3/D2 /CC/CW/CT 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/BP/BX /B8 /D8/CW/CT /CT/D1/CX/D7/D7/CX/D3/D2 /CX/D7 /D7/D9/D4/D4/D6/CT/D7/D7/CT/CS/BA /C1/D2 /D8/CW/CT /CV/CP/D9/D7/D7/CX/CP/D2 /CP/D4/D4/D6/D3 /DC/CX/D1/CP/D8/CX/D3/D2 /BM /AI/BE /D1/D7/BP/BE /AP /AB/BD /AD/BE/CU /DA/B4 /CZ /B5 /CG /BC/DB/CW/CT/D6/CT /CU /DA/CX/D7 /D8/CW/CT /CU/D3/D6/D1/CP/D8/CX/D3/D2 /D0/CT/D2/CV/D8/CW /CX/D2 /DA /CP/CR/D9/D9/D1/B8 /CS/CT/AC/D2/CT/CS /CX/D2 /CT/D5/D9/CP/D8/CX/D3/D2 /BJ/BA /CF /D6/CX/D8/CX/D2/CV /AI/BE /D1/D7/BQ /AI/BE /CQ/D6/D7/CW/D3 /DB /D8/CW/CP/D8 /D7/D9/D4/D4/D6/CT/D7/D7/CX/D3/D2 /CQ /CT/CR/D3/D1/CT/D7 /D7/CX/CV/D2/CX/AC/CP/D2 /D8 /CU/D3/D6 /D4/CW/D3/D8/D3/D2 /CT/D2/CT/D6/CV/CX/CT/D7 /CQ /CT/D0/D3 /DB /CP /CR/CT/D6/D8/CP/CX/D2 /DA /CP/D0/D9/CT/B8 /CV/CX/DA /CT/D2 /CQ /DD /CZ /BX/BO/BX /BX /D0/D4 /D1/B4/BD/BF/B5 /BX /D0/D4 /D1/CX/D7 /CP /CR /CW/CP/D6/CP/CR/D8/CT/D6/CX/D7/D8/CX/CR /CT/D2/CT/D6/CV/DD /D3/CU /D8/CW/CT /CT/AB/CT/CR/D8 /BM /BX /D0/D4 /D1/BP/AB /BG /AP/B4 /D1/CR/BE /B5/BE /AM/CW/CR/CG /BC/BP/AB/BE /BG /AP/D1/CR/BE /D6 /CT/CG /BCꜴ /B4/BJ /BM /BJ /CC/CT /CE /BP /CR /D1 /B5 /A2 /CG /BC/B4 /CR/D1 /B5 /B4/BD/BG/B5 /BZ /CT/CP/D2/D8/BG /CC /D9/D8/D3/D6/CX/CP/D0 /B9 /CB/D0/CP/CR/B8 /BD/BK/BA/BC/BE/BA/BC/BE /C5/BA/C5/CP/CX/D6/CT /B4/C4/CP/D4/D4/B5 /BU /D6/CT/D1/D7/D7/D8/D6/CP/CW/D0/D9/D2/CV /BE/BI /B3 /B2/B0 /B1 /BZ /CT/CP/D2/D8/BG /CC /D9/D8/D3/D6/CX/CP/D0 /B9 /CB/D0/CP/CR/B8 /BD/BK/BA/BC/BE/BA/BC/BE /C5/BA/C5/CP/CX/D6/CT /B4/C4/CP/D4/D4/B5 /BU /D6/CT/D1/D7/D7/D8/D6/CP/CW/D0/D9/D2/CV /BE/BJ /B3 /B2/B0 /B1 /CC/CW/CT /D1 /D9/D0/D8/CX/D4/D0/CT /D7/CR/CP/D8/D8/CT/D6/CX/D2/CV /CX/D2/CR/D6/CT/CP/D7/CT/D7 /D5 /D0/D3 /D2 /CV/CQ /DD /CR /CW/CP/D2/CV/CX/D2/CV /D8/CW/CT /CS/CX/D6/CT/CR/D8/CX/D3/D2 /CP/D2/CS /D8/CW/CT /D1/D3/D1/CT/D2 /D8/D9/D1 /D3/CU /D8/CW/CT /CT/D0/CT/CR/D8/D6/D3/D2/BA /C7/D2/CT /CR/CP/D2 /D7/CW/D3 /DB /BM /D5 /D0/D3 /D2 /CV/BP/AI /CZ /BE /AD/BE/AJ/AK /BD /B7/B4 /D1/CR/BE /B5/BE /BE/AM /CW/CR /BX /D0/D4 /D1/CU /D1/B4 /CZ /B5/AL /DB/CW/CT/D6/CT /CU /D1/CX/D7 /D8/CW/CT /CU/D3/D6/D1/CP/D8/CX/D3/D2 /D0/CT/D2/CV/D8/CW /CX/D2 /D8/CW/CT /D1/CP/D8/CT/D6/CX/CP/D0/BA /C7/D2 /D8/CW/CT /D3/D8/CW/CT/D6 /CW/CP/D2/CS /D8/CW/CT /D9/D2/CR/CT/D6/D8/CP/CX/D2 /D8 /DD /D4/D6/CX/D2/CR/CX/D4/D0/CT /D7/CP /DD/D7 /BM /D5 /D0 /D3/D2/CV/BP /AM/CW/CR/BP/CU /D1 /CC/CW/CT/D7/CT /D8 /DB /D3 /CT/D5/D9/CP/D8/CX/D3/D2/D7 /CR/CP/D2 /CQ/CT /D7/D3/D0/DA /CT/CS /CX/D2 /CU /D1/BM /CU /D1/B4 /CZ /B5 /AP/BE/AM /CW/CR /AD/BE /CZ/D6 /CZ /BX /D0/D4 /D1 /BX/BE/CX/CU /CZ /BX /D0/D4 /D1/AS /BX/BE /B4/BD/BH/B5 /C0/CT/D2/CR/CT/B8 /D8/CW/CT /D7/D9/D4/D4/D6/CT/D7/D7/CX/D3/D2 /CU/D9/D2/CR/D8/CX/D3/D2 /CB /D0/D4 /D1/BM /CB /D0/D4 /D1/B4 /CZ /B5/CS/CT/CU /BP/CU /D1/B4 /CZ /B5 /CU /DA/B4 /CZ /B5/BP/D6 /CZ /BX /D0/D4 /D1 /BX/BE/AH/D7 /B4 /CZ/BP /BX /B5 /B4 /BX/BP /BX /D0/D4 /D1/B5/B4/BD/BI/B5 /BZ /CT/CP/D2/D8/BG /CC /D9/D8/D3/D6/CX/CP/D0 /B9 /CB/D0/CP/CR/B8 /BD/BK/BA/BC/BE/BA/BC/BE /C5/BA/C5/CP/CX/D6/CT /B4/C4/CP/D4/D4/B5 /BU /D6/CT/D1/D7/D7/D8/D6/CP/CW/D0/D9/D2/CV /BE/BK /B3 /B2/B0 /B1 /D8/D3/D8/CP/D0 /D7/D9/D4/D4/D6/CT/D7/D7/CX/D3/D2 /CC/CW/CT /C4/C8/C5 /CP/D2/CS /CS/CX/CT/D0/CT/CR/D8/D6/CX/CR /D1/CT/CR /CW/CP/D2/CX/D7/D1 /CQ/D3 /D8 /CW /D6/CT/CS/D9/CR/CT /D8/CW/CT /CT/AB/CT/CR/D8/CX/DA /CT /CU/D3/D6/D1/CP/D8/CX/D3/D2 /D0/CT/D2/CV/D8/CW/BA /CC/CW/CT /D7/D9/D4/D4/D6/CT/D7/D7/CX/D3/D2/D7 /CS/D3 /D2/D3/D8 /D7/CX/D1/D4/D0/DD /D1 /D9/D0/D8/CX/D4/D0/DD /BA /CC/CW/CT /D8/D3/D8/CP/D0 /D7/D9/D4/D4/D6/CT/D7/D7/CX/D3/D2 /CU/D3/D0/D0/D3 /DB/D7 /CJ/BZ/CP/D0/BI/BG /CL /BD /CB/BP /BD /B7/BD /CB /CS/B7/CB /CB/BE /D0/D4 /D1 /BZ /CT/CP/D2/D8/BG /CC /D9/D8/D3/D6/CX/CP/D0 /B9 /CB/D0/CP/CR/B8 /BD/BK/BA/BC/BE/BA/BC/BE /C5/BA/C5/CP/CX/D6/CT /B4/C4/CP/D4/D4/B5 /BU /D6/CT/D1/D7/D7/D8/D6/CP/CW/D0/D9/D2/CV /BE/BL /B3 /B2/B0 /B1 /BZ /CT/CP/D2/D8/BG /CC /D9/D8/D3/D6/CX/CP/D0 /B9 /CB/D0/CP/CR/B8 /BD/BK/BA/BC/BE/BA/BC/BE /C5/BA/C5/CP/CX/D6/CT /B4/C4/CP/D4/D4/B5 /BU /D6/CT/D1/D7/D7/D8/D6/CP/CW/D0/D9/D2/CV /BF/BC /B3 /B2/B0 /B1 energy distribution of photons at z=zplote- 10 Gev in Pb. Bremsstrahlung: gamma spectrum 00.050.10.150.20.250.30.35x 10-3 - 2 - 1 01234no LPM with LPM log10(E(MeV))evts 00.050.10.150.20.250.30.35x 10-3 /BZ /CT/CP/D2/D8/BG /CC /D9/D8/D3/D6/CX/CP/D0 /B9 /CB/D0/CP/CR/B8 /BD/BK/BA/BC/BE/BA/BC/BE /C5/BA/C5/CP/CX/D6/CT /B4/C4/CP/D4/D4/B5 /BU /D6/CT/D1/D7/D7/D8/D6/CP/CW/D0/D9/D2/CV /BF/BD /B3 /B2/B0 /B1 /BX/BD/BG/BI /B4/CB/C4/BT /BV/B5 /CS/CP/D8/CP /CJ/BT/D2 /D8/CW/D3/BL/BI/CL /BZ /CT/CP/D2/D8/BG /CC /D9/D8/D3/D6/CX/CP/D0 /B9 /CB/D0/CP/CR/B8 /BD/BK/BA/BC/BE/BA/BC/BE /C5/BA/C5/CP/CX/D6/CT /B4/C4/CP/D4/D4/B5 /BU/D6/CT/D1/D7/D7/D8/D6/CP/CW/D0/D9/D2/CV /BF/BD/B9/BD /CA/CT/CU/CT/D6/CT/D2/CR/CT/D7 /CJ/C0/CT/CX/D8/D0/BH/BJ/CL /CF/BA /C0/CT/CX/D8/D0/CT/D6 /CC/CW/CT /C9/D9/CP/D2 /D8/D9/D1 /D8/CW/CT/D3/D6/DD /D3/CU /D6/CP/CS/CX/CP/D8/CX/D3/D2/B8 /C7/DC/CU/D3/D6/CS /CD/D2/CX/DA /CT/D6/B9 /D7/CX/D8 /DD /C8/D6/CT/D7/D7 /B4/BD/BL/BH/BJ/B5 /CJ/BZ/CP/D0/BI/BG/CL /CE/BA/C5/BA/BZ/CP/D0/CX/D8/D7/CZ/DD /CP/D2/CS /C1/BA/C1/BA/BZ/D9/D6/CT/DA/CX/CR /CW/B8 /C6/D9/D3 /DA /D3 /BV/CX/D1/CT/D2 /D8/D3 /BF/BE/B8 /BD/BK/BE/BC /B4/BD/BL/BI/BG/B5 /CJ/CC /CT/D6/BJ/BE/CL /C5/BA/C4/BA /CC /CT/D6/B9/C5/CX/CZ /CP/CT/D0/CX/CP/D2 /C0/CX/CV/CW /BX/D2/CT/D6/CV/DD /BX/D0/CT/CR/D8/D6/D3/D1/CP/CV/D2/CT/D8/CX/CR /C8/D6/D3 /CR/CT/D7/D7/CT/D7 /CX/D2 /BV/D3/D2/CS/CT/D2/D7/CT/CS /C5/CT/CS/CX/CP/B8 /C2/D3/CW/D2 /CF/CX/D0/CT/DD /CP/D2/CS /CB/D3/D2/D7 /B4/BD/BL/BJ/BE/B5 /CJ/CC/D7/CP/CX/BJ/BG/CL /CH/BA/CB/BA /CC/D7/CP/CX/B8 /CA/CT/DA/BA /C5/D3 /CS/BA /C8/CW /DD/D7/BA /BG/BI/B8/BK/BD/BH /B4/BD/BL/BJ/BG/B5 /CH/BA/CB/BA /CC/D7/CP/CX/B8 /CA/CT/DA/BA /C5/D3 /CS/BA /C8/CW /DD/D7/BA /BG/BL/B8/BG/BE/BD /B4/BD/BL/BJ/BJ/B5 /CJ/CB/CT/D0/BK/BH/CL /CB/BA/C5/BA /CB/CT/D0/D8/DE/CT/D6 /CP/D2/CS /C5/BA/C2/BA /BU/CT/D6/CV/CT/D6/B8 /C5/C1/C6 /BK/BC/B8 /BD/BE /B4/BD/BL/BK/BH/B5 /CJ/BT/D2 /D8/CW/D3/BL/BI/CL /C8 /BA /BT/D2 /D8/CW/D3/D2 /DD /CT/D8 /CP/D0/BA/B8 /C8/CW /DD/D7/BA /CA/CT/DA/BA /C4/CT/D8/D8/BA /BJ/BI/B8/BF/BH/BH/BC /B4/BD/BL/BL/BI/B5 /CJ/C8/BW/BZ/BC/BC/CL /BW/BA/BX/BA /BZ/D6/D3 /D3/D1 /CT/D8 /CP/D0/BA /C8 /CP/D6/D8/CX/CR/D0/CT /BW/CP/D8/CP /BZ/D6/D3/D9/D4 /BA /CA/CT/DA/BA /D3/CU /C8 /CP/D6/D8/CX/CR/D0/CT /C8/D6/D3/D4/B9 /CT/D6/D8/CX/CT/D7/BA /BX/D9/D6/BA /C8/CW /DD/D7/BA /C2/BA /BV/BD/BH/B8/BD /B4/BE/BC/BC/BC/B5 /CW /D8/D8/D4/BM/BB/BB/D4 /CS/CV/BA/D0/CQ/D0/BA/CV/D3 /DA/BB /BZ/CT/CP/D2/D8/BG /CC /D9/D8/D3/D6/CX/CP/D0 /B9 /CB/D0/CP/CR /B8 /BD/BK/BA/BC/BE/BA/BC/BE /C5/BA/C5/CP/CX/D6/CT /B4 /C4/CP /D4/D4/B5 /BU/D6/CT/D1/D7/D7/D8/D6/CP/CW/D0/D9/D2/CV /BF/BD/B9/BE /CJ/C3/CT/D0/D2/BL/BJ/CL /CB/BA/CA/BA/C3/CT/D0/D2/CT/D6/B8 /CA/BA/C8 /BA/C3/D3/CZ /D3/D9/D0/CX/D2/B8 /BT/BA/BT/BA/C8 /CT/D8/D6/D9/CZ/CW/CX/D2/BA /C8/D6/CT/D4/D6/CX/D2 /D8 /C5/BX/C8/CW/C1 /BC/BE/BG/B9/BL/BH/B8 /C5/D3/D7/CR/D3 /DB/B8 /BD/BL/BL/BH/BN /BV/BX/CA/C6 /CB/BV/BT/C6/B9/BL/BH/BD/BC/BC/BG/BK/BA /CB/BA/CA/BA/C3/CT/D0/D2/CT/D6/B8 /CA/BA/C8 /BA/C3/D3/CZ /D3/D9/D0/CX/D2/B8 /BT/BA/BT/BA/C8 /CT/D8/D6/D9/CZ/CW/CX/D2/BA /C8/CW /DD/D7/BA /BT /D8/D3/D1/CX/CR /C6/D9/CR/D0/CT/CX/B8 /BI/BC /B4/BD/BL/BL/BJ/B5 /BH/BJ/BI/BA /CB/BA/CA/BA/C3/CT/D0/D2/CT/D6/B8 /CA/BA/C8 /BA/C3/D3/CZ /D3/D9/D0/CX/D2/B8 /BT/BA/CA/DD/CQ/CX/D2/BA /BZ/CT/CP/D2 /D8/BG /C8/CW /DD/D7/CX/CR/D7 /CA/CT/CU/CT/D6/CT/D2/CR/CT /C5/CP/D2 /D9/CP/D0/B8 /BV/CT/D6/D2 /B4/BE/BC/BC/BC/B5 /BZ/CT/CP/D2/D8/BG /CC /D9/D8/D3/D6/CX/CP/D0 /B9 /CB/D0/CP/CR /B8 /BD/BK/BA/BC/BE/BA/BC/BE /C5/BA/C5/CP/CX/D6/CT /B4 /C4/CP /D4/D4/B5