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30
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Ek^VtQETZA tü^³]`bdvVY]`qZX5½P vVtdXHETZA tdXbüf@bdYZbì]bd^Vtgtdh(bdY]qZX5\1Ï
] cbQZ^ e ^³]`bdvVYz^_tPtgX>cVXkt`_xbg]`qbdYZbì]bd^Vt|e`vV]^_]`bdvVY^VtoabA^VYI]VAcPÆYdAcPe^zX>efmW
p@qZX1PU X>^_lmf^³]$fqÆ
] }rj ^VYysfq]0jNt ^_eXycZA X*]v]`qZXv/PU XkYZbdYZr v,I ]`qZXu5fY]wv.tdu\\ ^VYyxu5fq]wv$j/ue\ ]`e ^_Yf`bì]bgvJYfHW
p@qZX9+D WÀ^VYyÉu@[^/UcZU evrmy bz5P ^³]bgvJYf^_eX%^/Z^ tdX!]v½e`XHZU e`vmykAgE X]`qZXf`q^/zU X%v,I ]`qX[P vJe`X^BETEZA e^_]`Xuxu>E ^_tFEZZA tü^³]bgvJYfTW
Òû
10
−10
CC
CS
EP
3
−1
Rate coefficient (cm s )
10
−9
10
−11
10
−12
10
−13
10
−14
{
0
20
40
60
80
{
100
|
120
}
140
~
160
180
j
@bgrBAZeXcCw^_]`X:EvXZlEbdXkYI] f&IvJe]`vV]^VtbdYZXktü^Vf ]`bFEabAZX>YmE qZbdYZrIvJeJHKXrM[ O bgYÉ]`qZXtgbQP½bì]v,IR>Xkev5]`XHP:UPXke ^³]GAZeX/Wp@qX
uxuÄ^_Yzy°u@[ eX>fVZA tì] fÍ^Ve`X*fV½P vv_]`qtghc³^_ehIbdYZrx_ bg]`q°^5P ^Nmy bQPAcP c³^_tQZA X*^_]
f]}HcW$p@qXeDWÏe`XHfAZtg]f!f qvN_©^f:]e`vJYZr
YZvJYmnU qIhmf`bQ>E ^_t|vIfVkE bgtdtd^_]`bdvVYsI vVetdvNÄ_ c¤^VtzA X>fxv/I`fgW
@p qZXu@[ yZ^³] ^5f tdbdrVqI]`tdhZA YzymXkeX>f ]`bQ5P ^³]`XHf@]`qXe^_]`X[E vXTlkE bgX>YI]f.x_ qZbdtdX
]`qX9D W¾yZ^³] ^½^_eX!YZXH^_etgh^¦I ^B
E ]vVexv,Ij rVeX>^_]`Xke+]`qz^_Y]`qZXuxuÏeX>fVZA tì] f#I vVextü^_erVX.fgW
Ò
−13
10
−14
10
−15
10
−16
10
−17
10
−18
10
−19
3
−1
Rate coefficient (cm s )
10
EP
CS
CS (Ωmax=0)
60
80
{
100
|
120
j
}
140
~
160
180
@bgrBAZeX:tgCw^³]XEvXZlEbdXkYI] fIvVeue\]}]`e ^_Yf`bg]`bdvVYf%bdYÁ]`qZX5tdbzP½bg]v,I
RkX>e`v]`XHP1UzX>e^_]VAZeX/Wu@[xEk^VtQETAZtd^_]`bdvVYf_XkeX
UPXkeVI vVeGP XHyA f`bgYrx
.x] É^_Yy
.x]0f1Mjc°
W jv_]q¾u@[>E ^_tFEZZA tü^³]bgvJYf*f`qZvN _ f`bz½P bdtd^Vef ]`eGAm
E ]GZA eXx_ bg]`q·f`q^_eGU
bdYmE eX>^Jf XHf+vkEHEZZA ebgYr^_]x]`qZX%v/PU XkYbgYZr½v/QI ^YZXH_(E q^VYZYZXktW@p qZXu5fe]v& ]e^VYf`bì]bgvJYsP^ XHkE v/½P X>f@X>YZXkerVXk]`bFkE ^_tdtdh(^_tdtgvN_ X>y
^³]9f }ViD]`qZXu5f]v É]`e ^_Yf`bg]`bdvVYÀ^_][f&
Z}Ji^_Yzy1]`qXqu5f]v.É
t ]e^VYf bg]`bdvVYµ^³]9fï
}LV mW@p qZXs½P vJtgXLEZZA tdX
ymbüf`f`vkE bü^³]X>fP^ XZI vVeXx]qZXu5fe]v$!j ]`e ^_Yf`bì]bgvJY1z^ XLE v/½P XHf3XkYZX>e`rJX]bQ>E ^_tdtgh*^VtgtdvN_ X>y`W%@p qZX$D WÁeX>fVZA tg]fDf`qZvNµ_ tgXHf`fDf ]`eGAmE ]VZA eX
^³]@]qZXtgvN_½f ]qZe`XHf qvVtüyZf
^cmA ]$abA ^Vtgbg]^_]`bdcVXktdhf`bz½P bdtd^Ve
z^ X>q^¤cbgvJe@]`vu@[^Vf5f büf@bdYmE eX>^Jf XHy`W
ÒJ
10
3
j=3
2
cm )
j=5
2
10
1
10
0
j=9
Cross section (10
−16
10
j=7
10
−3
10
−2
10
−1
10
0
−1
10
1
10
2
E (cm )
@bgrBAZeXskCu+evJff*f`XHE
]bgvJYf[IvJe]qZXque\]cuf] v$j]e^VYf bg]`bdvVYÀ^Vf*^¡I¢AZYmE
]bgvJY·v/Ix]`e ^_Yf`td^_]`bdvVY^VtDXkYXkerVh/Wp@qX
P½vVtdXHETZA tgX+bdfbdY]qZX6\c] tdXkcJXktBI vVeQ^_tdtmyZ^³] ^Íf`qZvNx_ Y*^_Yzy%]`qZX
kE ^VtQETZA tü^³]`bdvVYzf_ XkeXPU XkeVI vVeGP XHy[A f`bgYrÍ]qZXxuxu)I vJeVPeZA tü^³]`bdvVYW
[q^/zU X@eX>f`vVY^VYmE XHf²vkEHEZZA eD^_]Q^/z^ vBmA ]Q]`qZXf^,½P X+]`e ^_Yf`td^_]`bdvVY^VtXkYZX>e`rJhI vJe3X>^BE q*bdYZbì]bd^Vt/Vf nNtdXkcJXktWS@p qZX.¹£ bdrVYZX>e]`qZeX>f`qZvVtüy
tdbz½P bg]`bdYZrD.¤¥¦ O z^ X>q^¤cbgvJexvkETEZA ef6I vVe&D$S§ }Hk¤ O ETPs¤¥NW
Òó
−10
10
−11
3
−1
Rate coefficient (cm s )
10
ª
«
« j=3
« j=5
« j=7
j=9
10
−12
10
−4
10
−3
10
−2
−1
10
©
T (K)
¨
10
0
¨
10
1
¨
10
2
@bgrBAZeX@mCw^_]`X&EkvIXTlEbdXkYI]fIvJeQ]`qZX$ue\]¹cu5fe]v$j]e^VYf`bì]bgvJY^Jf3^I¢AZYmE
]bgvJY½v,IP]`XTP1UPXke ^³]GAZe`XBW%p@qX.PvJtgXLEZAZtdXxbüf
bdY]qZX5\k] tgX>cVX>tgI vJex^_tdt<y^³]^f`qZvNx_ YW@p qZX%f q^/zU XeX>f`vVY^VYmE XHfbdY]qZX[E evJff+f`XHE ]`bdvVYf+rVbdcVXebdf`XÍ]vf ]`XHU f@bdY(]`qXe ^³]X
E vXTlkE bgX>YI]fI vJeD]XTP1zU X>e^_]VZA eX>f^_ev/A Yy}n }>[¬1Wd@p qZX&¹£ bdrVYZX>e]qZe`XHf qvVtüy½tgbQ½P bì]bgYZrez^ X>q^¤cbgvJeDvkETETZA efI vVe#p5S§ }Hk¤ O ¬1W
Ò
1000
«
« j=5
2
cm )
« j=3
« j=7
100
Cross section (10
−16
j=9
10
1 −4
10
10
−3
10
−2
−1
10
−1
E (cm )
¨
10
0
¨
10
1
¨
10
2
@ bgrBAZeX:dCÍu+evJffÍf`XHE
]bgvJYf.IvJeÍX>td^Jf:]bQEfVE>^³] ]XkebgYr^Vf!^1I¢AZYmE]`bdvVY v/I3]`e ^_Yf`tü^³]`bdvVYz^_tX>YZXkerVhBW$p@qZXP½vJtgXLEZAZtdXbüfÍbdY\]`qX
\c]tdXkcJXktoIvJe^_tdtyZ^³] ^5f qZvN_xY^_Yy]qZX9Ek^VtQETAZtd^_]`bdvVYf#_XkeX5UzX>eIvJeVP½X>ysAf`bgYr]qZXuxuIvVeGPAZtü^³]bgvJYW
è
10
3
j=20
j=60
2
cm )
j=40
2
10
1
10
0
j=80
Cross section (10
−16
10
10
−3
10
−2
10
−1
10
0
−1
10
1
10
2
E (cm )
@bgrBAZeXcCu+evJff*f`XHE
]bgvJYf[IvJe]qZXque\]cuf] v$j]e^VYf bg]`bdvVYÀ^Vf*^¡I¢AZYmE
]bgvJY·v/Ix]`e ^_Yf`td^_]`bdvVY^VtDXkYXkerVh/Wp@qX
P½vVtdXHETZA tgXbdf!bdY\]`qZX:\c] 5tgX>cVX>t^VYy ]`qXekE ^VtQETZA tü^³]`bdvVYzf$_ XkeX9PU XkeVI vVeGP XHyqA f`bgYZr]`qZX1D W ^,UcZU evrmy bz5P ^_]`bdvVYW$@p qXf`q^,PU X
eX>f`vVY^VYmE XHf+YX>^_e%}9ETPs¤!¥ ^_YyYtEZPY¤`¥ ^Ve`XykA X!]v]5t ^_YzyY](:E XkYI]e`bzI¢ZA rJ^Vt`^ ^_eebgX>ef>iJeX>fVPU XH
E ]bgcJXktdh/W
èÒ
3
10
2
10
1
10
0
Cross section (10
−16
2
cm )
10
¯
°
° j=20
° j=40
° j=60
10
−1
10
−2
10
j=80
−4
−3
10
−2
10
−1
10
−1
E (cm )
®
10
0
®
10
1
®
10
2
@ bgrBAZeX*cCÍu+evJffÍf`XHE
]bgvJYf.IvJeÍX>td^Jf:]bQEfVE>^³] ]XkebgYr^Vf!^1I¢AZYmE]`bdvVY v/I3]`e ^_Yf`tü^³]`bdvVYz^_tX>YZXkerVhBW$p@qZXP½vJtgXLEZAZtdXbüfÍbdY\]`qX
\c](tdXkcVX>t^VYy ]qZX:E>^_tFEZAZtü^³]bgvJYf&_XkeX9UPXkeVIvVeGP½X>y¡Af`bdYZr(]qZX:D+W ^/UcUZevrybQP5^³]bgvJYW$p@qZXeRkXkev_nXkYXkerVhX>td^Jf:]bQEeEevJff
f`XH
E ]bgvJYfx^_eX%XZy ]`eXT½P X>tghfV5P ^_tdtoI vVexqZbdrVqtgh(ev_] ^³]bgvJY^_tdtgh5XTycE bg]`X>y f ]^_]`X>fHW
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