Сарычева Л.И. Физика фундаментальных взаимодействий
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KNO
pp
KNO
pp
ψ
n
hni
= hni
σ
n
(s)
σ
tot
(s)
K
+
p K
−
p ¯pp
c π
+
p π
−
p c
pp
KNO
π
+
K
+
KNO
hni
pp
pp
s
pp
s
hni ∼ (s/m
2
)
1/4
,
s m
hni ∼ (s/m
2
)
1/3
.
hni = a + b ln(s/m
2
)
hni = c ln(s/m
2
).
E
dσ
dp
k
dp
⊥
= f(p
k
, p
⊥
, s)
s → ∞
lim f(x, p
2
⊥
, s) = f(x, p
2
⊥
),
x =
p
k
E
=
2p
∗
√
s
p
k
p
⊥
x p
2
⊥
hni =
1
σ
inel
Z
f(p
2
⊥
, x)
d
3
p
E
,
f(p, s)
hni ∼ a ln
s
m
2
π
+ b,
hni = a + b ln s +
d
√
s
+
f ln s
√
s
,
s
n
±
P
n
(s) =
σ
n
(s)
σ
tot
P
n
(s)
KNO z (D/hni)
2
hniP
c
n
=
k
k
Γ(k)
z
k−1
e
−kz
,
z = n/hni, k
−1
= (D/hni)
2
NB
P
n
=
n + k − 1
n
!
p
k
q
n
,
P
n
n
k
NB
k hni
hniP
n
= hni
n + k − 1
n
!
1
(1 + hni/k)
k
hni/k
1 + hni/k
!
n
,
D
n
2
=
1
k
+
1
hni
.
hni ≫ k > 1 NB → Gamma k → ∞
NB → Poisson
NB
hni NB
KNO k
√
s = 900
k KNO
”
“
E
d
3
σ
dp
3
= F
1
(p
k
, s)F
2
(p
⊥
) = f(s, p).
π
−
p
π
−
π
+
p
⊥
p
⊥
p
⊥
< 0 .1 c
0.1 < p
⊥
< 1 c
p
⊥
> 1 c
p
⊥
< 1 c
p
⊥
f(p
⊥
) = Ae
−Bp
⊥
,
B ∼ 6
c ∼ 45 0 c ∼ 500
c
hp
⊥
i =
R
p
⊥
f(p
⊥
)dp
2
⊥
R
f(p
⊥
)dp
2
⊥
≈
A
R
p
⊥
exp(−Bp
⊥
)dp
2
⊥
A
R
exp(−Bp
⊥
)dp
2
⊥
=
2
B
.
p
⊥
< 1 c