ICRC 2007 Proceedings - Pre

pp
p̄
hpT i
Np̄
τ
p̄
γ
pp
p̄
pp
γ
γ
π0 η
γ
η0
Ã
!χc
p∗p̄
Np̄ Θ c
1 ∗ d3 σ
E
=
1−
σpp p̄ d3 p∗p̄
4πp2c
pc
Zc (p∗p̄ ) =
Np̄
pp
τ
hpT i
Mp̄
pp
p̄ Θc
pc
p̄
p
pc = Mp̄ βc Γc2 − 4,
2
c
βc
χc
,
p∗p̄
pT
p2
+
+ ∆c T2 ,
T0
p0
Mp̄
σpp
Np̄
pp
p̄
−Zc (p∗
p̄ )
p̄
βc
Γc ≥ 2
∆c
γ
p̄
χc = 1 + ∆c (9.89ξc )4 exp[−10.5ξc ],
ICRC 2007 Proceedings - Pre-Conference Edition
p̄
p̄
∆c = 1 − exp[−(5.54ξc )3.5 ],
X
Ep̄
Mp̄
1
= p
,
pc
βc Γc2 − 4
ξc =
p̄
p̄ Ep̄ /Ep
Ep
p̄
1 dσ
= Np̄ (Ep )Θc (Ep )
σpp dX
Z 1
ξdξ
×
(1 − ξ)χc −Zc (ξ, ξT ) p
,
2 + ξ2
ξ
ξm
c
τ = T0 /p0 , ωc = pc /T0 ,
Zc (ξ, ξT ) = ωc (ξ + τ ξT ) + ∆c ξT2 /ξc2 ,
¯
¯
¯
¯
ξm (X) = 2(Γc2 − 1)¯1 − βp̄ (X)/βc ¯X,
p∗p̄
pT
ξ = , ξT =
= ξ sin θ ∗ ,
pc
pc
ξT (ξ, X) =
ξ≈0
p̄
τ ≈0
βp̄
c
q
p
ξ 2 − [2X − ξ 2 + ξc2 /βc ]2 ,
p̄
X
Γc À 1
“
Mp̄
τ
¯
¯"
¶#
µ
¯ s
¯
1
ξm
3s
≈ ¯¯ 2 − 1¯¯ 1+ 2
−1 ,
X
4Ep̄
4Γc 4Ep̄2
τ
p̄ Np̄
ξm (X) ≈ X ≈ Ep̄ /Ep ,
Θc = 1/Ξ2,1 (τ, ωc ),
Ξ`,m (τ, ωc ) =
×
θ
Z
1
Ep̄ À
Z
1
0
ξ ` dξ
ξ 2 + ξc2
0
√
s/2.
√
x = 2p∗L / s p∗L
(1 − ξ)χc p
−Zc (ξ, ξt)
Ep̄ À
p̄
tm dt
√
.
1 − t2
Ep̄ /Ep
p̄
dσ
= 2πpp̄
dEp̄
Z
Ep̄
Ep̄
d3 σ
d(cos θ),
d3 pp̄
Np̄ T0
p̄
cos θ
p0
Ep̄
pc
ICRC 2007 Proceedings - Pre-Conference Edition
√
Ep̄
Ep̄ / s
X≡
= p
,
2pc βc Γc
βc2 Γc2 − 4
√
s
χc
∆c
Np̄ τ hpT i
E
p̄
hpT i
Ξ`,m (τ, ωc )
hpT i/pc = Ξ3,2 (τ, ωc )/Ξ2,1 (τ, ωc ).
p̄
hpT i
h
i
hpT i(Ek ) = pT,0 1 − exp(−aT Êk ) ÊkbT ,
Êk = KE Ek , KE = 1 − E /Ek ,
pT,0
Ek
aT
p̄ hpT i
Ek ≈ E
Ek → E
ωc
hpT i
bT
Np̄
τ
i
Ξ3,2 (τ, ωc )
pT,0 h
1−exp(−aT Êk ) ÊkbT =
.
pc
Ξ2,1 (τ, ωc )
pT
τ
ICRC 2007 Proceedings - Pre-Conference Edition
Np̄ T0 p0
Np̄
hpT i
p̄
p̄
P0 =
∗
∗
∗
p
√L )/(Ep̄ + pL )]
s = 30.6
ln[(Ep̄∗ +
Ep
Np̄
p̄
x = 016, 0.32
x
Np̄
τ
p̄ Np̄
τ
Ek
h
i
1/2
1/4
5.15
1 − exp(−aN Êk ) Êk ,
Np̄ = Np̄,0 KE
Np̄,0 = 0.0233 aN = 0.0880
τ
√
s − 4Mp 4Mp
p̄
τ = τ0
h√
iaτ
s − 4Mp ,
τ0 = 0.363 aτ = 0.823
p̄
ICRC 2007 Proceedings - Pre-Conference Edition
1
2
p̄ y ∗