jiji fan - los alamos national laboratory · 0 20 40 60 80 100 0.000 0.005 0.010 0.015 0.020 0.025...
TRANSCRIPT
Ekin ∼ O(10 keV )ER ∼ O(1 − 10 keV )
χ̄χq̄q
χ̄γµχq̄γµq
χ̄σµνγ5χFµν
Λ
q
mN∼ q
mχ∼ 10−3
q
m0,
q
Λ
σ ∼ 10−44cm2
σ ∼ 10−38cm2
σW ∼ 10−36cm2
v ∼ 10−3
m0 � |q|m0 � |q|
10−3
Veff = V SIeff + V SD
eff
V SIeff = ch1δ
3(�r) + ich2�sχ · �∇δ3(�r)
+ cl11
4πr− cl2
i�sχ · �r4πr3
,
V SDeff = c′h1�sχ · �sNδ3(�r) + ic′h2�sN · �∇δ3(�r)
+ c′l1�sχ · �sN
4πr− c′l2
i�sN · �r4πr3
,
O1 = 1O2 = �σχ · �qO3 = �σχ · �vO4 = �σχ · (�v × �q)
O1 = δ3(�r),1r
O2 = �sχ · �∇δ3(�r),�sχ · �r
r3
O3 = �sχ · �vδ3(�r),�sχ · �v
r
O4 = �sχ · (�v × �∇)δ3(�r),�sχ · (�v × �r)
r3
�q,�v,�sχ,�sN
O1 = 1O2 = �σχ · �qO3 = �σχ · �vO4 = �σχ · (�v × �q)
χ̄χq̄q, χ̄γµχq̄γµq
χ̄γ5χq̄q, χ̄γ5γµχq̄γµq
χ̄γ5γµχq̄γµq
(χ̄γ5q)(q̄γ5χ)∼ χ̄χq̄q − χ̄γµχq̄γµq...,
δ3(�r)
�sχ · �∇δ3(�r)
1r
�sχ · �rr3
χ̄γ5γµχq̄(α + βγ5)q
SI NR operators SD NR operators ER
δ3(�r) �sχ · �sNδ3(�r) 1i�sχ · �∇δ3(�r) i�sN · �∇δ3(�r) ER
14πr
�sχ·�sN
4πr E−2R
−i�sχ·�r4πr3
−i�sN ·�r4πr3 E−1
R
0 20 40 60 80 100
0.000
0.005
0.010
0.015
0.020
0.025
0.030
0.035
E�keV�
dR�dE
0 20 40 60 80 100
0.000
0.005
0.010
0.015
0.020
E�keV�
dR�dE
δ3(�r)
�sχ · �∇δ3(�r)
1r
�sχ · �rr3
ch1 ∼ (10−8GeV−2)( g
10−4
) (100GeV
Λ
)2
ch2 ∼ (10−7GeV−3)( g
0.1
) (100GeV
Λ
)3
cl1 ∼ 10−10
cl2 ∼ (10−9GeV−1)( g
10−7
) (100GeV
Λ
)
0 200 400 600 800 1000�9.0
�8.5
�8.0
�7.5
�7.0
�6.5
�6.0
M �GeV�
Log�c1��G
eV^��2��
Vesc � 500 km�sec, Ρ � 0.3 GeV�cm^3
0 200 400 600 800 1000�8.0
�7.5
�7.0
�6.5
�6.0
�5.5
�5.0
M �GeV�
Log�c2��G
eV^��3�
Vesc � 500 km�sec, Ρ � 0.3 GeV�cm^3
0 200 400 600 800 1000�12.0
�11.5
�11.0
�10.5
�10.0
�9.5
�9.0
M �GeV�
Log�c l1�
Vesc � 500 km�sec, Ρ � 0.3 GeV�cm^3
0 200 400 600 800 1000�11
�10
�9
�8
�7
M �GeV�
Log�c l2��G
eV^��1�
Vesc � 500 km�sec, Ρ � 0.3 GeV�cm^3
0 200 400 600 800 1000�6.0
�5.5
�5.0
�4.5
�4.0
M �GeV�
Log�ch1��
GeV^��2��
Vesc � 500 km�sec, Ρ � 0.3 GeV�cm^3
0 200 400 600 800 1000�5.0
�4.8
�4.6
�4.4
�4.2
�4.0
M �GeV�
Log�ch1��
GeV^��2��
Vesc � 500 km�sec, Ρ � 0.3 GeV�cm^3
0 200 400 600 800 1000�5.0
�4.5
�4.0
�3.5
�3.0
M �GeV�
Log�ch2��
GeV^��3��
Vesc � 500 km�sec, Ρ � 0.3 GeV�cm^3
0 200 400 600 800 1000�4.0
�3.5
�3.0
�2.5
�2.0
M �GeV�
Log�ch2��
GeV^��3��
Vesc � 500 km�sec, Ρ � 0.3 GeV�cm^3
M �GeV� M �GeV�
0 200 400 600 800 1000�9.0
�8.5
�8.0
�7.5
�7.0
M �GeV�
Log�c l1�
Vesc � 500 km�sec, Ρ � 0.3 GeV�cm^3
0 200 400 600 800 1000�8.0
�7.5
�7.0
�6.5
�6.0
M �GeV�
Log�cl1�
Vesc � 500 km�sec, Ρ � 0.3 GeV�cm^3
0 200 400 600 800 1000�8.0
�7.5
�7.0
�6.5
�6.0
M �GeV�
Log�c l3��G
eV^��1��
Vesc � 500 km�sec, Ρ � 0.3 GeV�cm^3
0 200 400 600 800 1000�7.0
�6.5
�6.0
�5.5
�5.0
M �GeV�
Log�cl3��
GeV^��1��
Vesc � 500 km�sec, Ρ � 0.3 GeV�cm^3