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r
r = λ = ¯h/Mc M =
q
¯hc/G ≃ 10
−5
M Mc
2
≃ 10
19
l =
¯h
Mc
2
≃ 10
−33
.
t =
¯h
Mc
2
≃ 10
−43
10
6
∼ 10
11
2

α
α
E ∼ 1
1 : 10
−2
: 10
−10
: 10
−38
,
α
e
=
1
137
.
α
w
= G
F
· m
2
p
= 10
−5
,
G
F
= 10
−49
2
α
s
(q
2
) ≈
1
ln(q
2
/Λ
2
)
=
a
ln
M
2
x
Λ
2
,
Λ = 100
a ≈
1
4

α
g
= G
N
· m
2
p
= 10
−38
,
G
N
= 7.8 · 10
−8
−1
·
3
·
2
M
x
α
s
(M
x
) ≈ α
e
M
x
≈ 10
16
.
α
w
≈ α
s
(m),
M
x
≈ 10
15
.
α
g
≈ α
w
≈ α
e
≈ α
s
M
x
= M · α
1/2
u
≈ 10
18
,
M = G
−1/2
≈ 10
19
q
2
”
“

∼ 10
15
M
x
= 10
15
p → π
0
+e
+
τ
p
> 10
33
α
s
1
r
2
=
4π
b ln Λ
2
r
2
=
α
s
(µ
2
)
1 + α
s
(µ
2
)
b
4π
ln
1
r
2
µ
2
,
Λ ∼ 0.1
µ
2
b = 11 −
2
3
n
f
n
f
r
Q
2
∼
1
r
2
q
1
q
2
a
b c d
P
a
+ P
b
= P
c
+ P
d
,

P
~p E P(~p, E)
P
2
= m
2
a
b Q
2
= −t t = (P
a
− P
c
)
2
e
+
e
−
e
+
e
−
α
e
α
e
< 1
q¯q

α
s
r
α
s
< 1
r
p
< 10
−13
r
p
q¯q
q¯q
q ¯q

q¯q
V (r) ∼ r e
+
e
−
V (r) ∼ 1/r

∆
++
→ π
+
p
∆
++
β
W α
W

g
u → d
ν → e
−
ν → ¯ν