1176-1177 / 2239
5.2
3
att
1 , ,
1 , ,
1 , ,
'
1
', ,
1
' 1
3
att
2, ,
2, ,
2, ,
'
2 ', ,
2
' 1
3
att
3, ,
3 , ,
3 , ,
'
3 ', ,
3
' 1
d d
d d
d d
E
E
E
j
j E
jE
E
E
E
j
j E
jE
E
E
E
j
j E
jE
E Q
E Q
E Q
Ω
Ω Ω
Ω
Ω
Ω
Ω Ω
Ω
Ω
Ω
Ω Ω
Ω
Ω
Ω Φ σ Φ
σ Φ
Ω
Ω Φ σ Φ
σ Φ
Ω
Ω Φ σ Φ
σ Φ
Ω
′ ′
→
=
′ ′
→
=
′ ′
→
=
′
′
⋅∇ +
=
+
′
′
⋅∇ +
=
+
′
′
⋅∇ +
=
+
∑∫ ∫
∑∫ ∫
∑∫ ∫
uur
uur
uur
Neglect bremsstrahlung
Treat positrons as electrons
Split photons into primary and scatter
(
)
(
)
(
)
att
prim ph, ,
scat ph, ,
phot
prim ph, ,
scat ph, ,
ph ph,
prim ph, ,
scat ph, ,
,
att
el, ,
el
el,
ph el,
prim ph, ,
sc
,
,
d d
E
E
E
E
E
E
E E
E
E
E
E
E E
E
S
E
Ω
Ω
Ω
Ω
Ω
Ω
Ω Ω
Ω
Ω
Ω
Ω
Ω Ω
Ω Φ
Φ
σ Φ
Φ
σ
Φ
Φ
Ω
Ω Φ σ
Φ
σ
Φ
Φ
′ ′
′ ′
→
′
′
→ →
′ ′
→
′
′
→ →
′
′
⋅∇
+
+
+
=
+
∂
⋅∇ +
−
=
+
∂
∫ ∫
uur
uur
(
)
at ph, ,
el el,
el, ,
,
d d
E
E
E E
E
E
Ω
Ω
Ω Ω
Ω
σ
Φ
Ω
′ ′
′ ′
→
′
′
→ →
′
′
+
⋅
∫ ∫
Common simplifications:
6