CERN Program Library Long Writeup W5013 - CERNLIB ...

T(MeV) C Pb
∆El 0 ∆E l ∆σ l ∆El 0 ∆E l ∆σ l
0.02 -2.86 -2.86 +52.00 -4.89 -4.69 +99.80
0.1 -0.33 -0.33 +21.10 -0.52 -0.47 +81.08
1 +0.07 +0.07 +6.49 +0.11 +0.11 +48.99
10 0.00 0.00 +1.75 0.00 +0.01 +23.89
10 2 0.00 0.00 0.00 0.00 0.00 +9.00
10 3 0.00 0.00 0.00 0.00 0.00 +2.51
10 4 0.00 0.00 0.00 0.00 0.00 +0.00
∆E l = 100 E− l
− E + l
E − l
% and ∆σ l = 100 σ− l
− σ + l
σ − l
%
Table 1.3: Difference in the energy loss and bremsstrahlung cross-section for e − /e + in Carbon and Lead
with a cut for γ and e ± of 10keV. ∆E 0 l is the value without the correction for the difference e − /e + .
f(0) = 1
f(1) = 0
}
for all Z, T (11)
We have chosen a simple function f:
f(ɛ) = C(1 − ɛ) α C, α > 0 (12)
T(MeV) C Pb
∆El 0 ∆E l ∆σ l ∆El 0 ∆E l ∆σ l
2 +4.19 +4.21 +7.29 +4.47 +6.88 +61.78
10 +0.87 +0.87 +1.93 +0.87 +1.14 +26.29
10 2 +0.08 +0.08 0.00 +0.06 +0.06 +9.10
10 3 0.00 0.00 0.00 0.00 0.00 +2.42
10 4 0.00 0.00 0.00 0.00 0.00 +0.00
∆E l = 100 E− l
− E + l
E − l
% and ∆σ l = 100 σ− l
− σ + l
σ − l
%
Table 1.4: Difference in the energy loss and bremsstrahlung cross-section for e − /e + in Carbon and Lead
with a cut for γ and e ± of 1MeV. ∆E 0 l
is the value without the correction for the difference e − /e + .
from the conditions (10), (11) we get:
C = 1
α = 1 η
− 1 (α >0 because η