Q
Coul − Yuk
λ
= R λ 1243
ð
ÞS λ 1243
ð
Þ+ R λ 1̃ 243̃
ð
ÞS λ 1̃ 243̃
ð
Þ
f
+ R λ 12̃ 4̃ 3
ð
ÞS λ 12̃ 4̃ 3
ð
Þ+ R λ 1̃ 2̃ 4̃ 3̃
ð
ÞS λ 1̃ 2̃ 4̃ 3̃
ð
Þg.
ð11Þ
Here the tilde designates that the large radial Dirac component f must be
replaced by the small Dirac component g, and instead of l i , l ̃
i = l i − 1 should be
taken for j i < l i and l ̃
i = l i + 1 for j i > l i .
The Breit part can be expressed as follows [39]:
Q
Br
λ = Q
Br
λ, λ − 1 + Q
Br
λ, λ + Q
Br
λ, λ + 1
ð12Þ
Q
Br
λ = R λ 124̃ 3̃
ð
ÞS
l
λ 124̃ 3̃
ð
Þ+ R λ 1̃ 2̃ 43
ð
ÞS
l
λ 1243
ð
Þ
È
+
+ R l 1̃ 24̃ 3
ð
ÞS
l
λ 1̃ 24̃ 3
ð
Þ+ R l 12̃ 43̃
ð
ÞS
l
λ 12̃ 43̃
ð
Þ
É
.
ð13Þ
The details of their computing can be found in Refs. [36–54]. The modified PC
code ‘Superatom-ISAN” (version-93) has been used in all calculations.
3 Results and Conclusions
Here we present the results of computing the radiative and collisional characteristics
(energy shifts, oscillator strengths, electron-ion cross-sections and collision
strengths) for the Be-, Ne-like ions of Ar, Ni and Kr (Z = 18–36) embedded to the
plasmas environment. Let us remind (see Refs. [11, 12, 16, 28, 39]) that the Be- and
Ne-like ions play an important role in the diagnostics of a wide variety of laboratory, astrophysical, thermonuclear plasmas. Firstly, we list our results on energy
shifts and oscillator strengths for transitions 2s
2 -2s 1/2 2p 1/2,3/2 in spectra of the
Be-like Ni and Kr. The plasmas parameters are as follows: n e = 10
22
−10
24 cm
−3 ,
T = 0.5–2 keV (i.e. μ ∼ 0.01–0.3). In Tables 1 and 2 we list the results of
Table 1 Energy shifts ΔE (cm
−1 ) for the 2 s
2
-[2s 1/2 2p 3/2 ] 1 transition in spectra of the Be-like Ni
and Kr ions for different values of the n e (cm
−3
) and T (in eV) (see explanations in text)
n e
10
22
10
23
10
24
10
22
10
23
10
24
Z
kT
Li et al.
Li et al.
Li et al.
Our data
Our data
Our data
NiXXV
500
31.3
292.8
2639.6
33.8
300.4
2655.4
1000
23.4
221.6
2030.6
25.7
229.1
2046.1
2000
18.0
172.0
1597.1
20.1
179.8
1612.5
I-S
8.3
86.6
870.9
KrXXXIII
500
21.3
197.9
2191.9
27.2
215.4
2236.4
1000
15.5
150.5
1659.6
21.3
169.1
1705.1
2000
11.5
113.5
1268.0
16.9
128.3
1303.8
62
A. V. Glushkov et al.
Coul − Yuk
λ
= R λ 1243
ð
ÞS λ 1243
ð
Þ+ R λ 1̃ 243̃
ð
ÞS λ 1̃ 243̃
ð
Þ
f
+ R λ 12̃ 4̃ 3
ð
ÞS λ 12̃ 4̃ 3
ð
Þ+ R λ 1̃ 2̃ 4̃ 3̃
ð
ÞS λ 1̃ 2̃ 4̃ 3̃
ð
Þg.
ð11Þ
Here the tilde designates that the large radial Dirac component f must be
replaced by the small Dirac component g, and instead of l i , l ̃
i = l i − 1 should be
taken for j i < l i and l ̃
i = l i + 1 for j i > l i .
The Breit part can be expressed as follows [39]:
Q
Br
λ = Q
Br
λ, λ − 1 + Q
Br
λ, λ + Q
Br
λ, λ + 1
ð12Þ
Q
Br
λ = R λ 124̃ 3̃
ð
ÞS
l
λ 124̃ 3̃
ð
Þ+ R λ 1̃ 2̃ 43
ð
ÞS
l
λ 1243
ð
Þ
È
+
+ R l 1̃ 24̃ 3
ð
ÞS
l
λ 1̃ 24̃ 3
ð
Þ+ R l 12̃ 43̃
ð
ÞS
l
λ 12̃ 43̃
ð
Þ
É
.
ð13Þ
The details of their computing can be found in Refs. [36–54]. The modified PC
code ‘Superatom-ISAN” (version-93) has been used in all calculations.
3 Results and Conclusions
Here we present the results of computing the radiative and collisional characteristics
(energy shifts, oscillator strengths, electron-ion cross-sections and collision
strengths) for the Be-, Ne-like ions of Ar, Ni and Kr (Z = 18–36) embedded to the
plasmas environment. Let us remind (see Refs. [11, 12, 16, 28, 39]) that the Be- and
Ne-like ions play an important role in the diagnostics of a wide variety of laboratory, astrophysical, thermonuclear plasmas. Firstly, we list our results on energy
shifts and oscillator strengths for transitions 2s
2 -2s 1/2 2p 1/2,3/2 in spectra of the
Be-like Ni and Kr. The plasmas parameters are as follows: n e = 10
22
−10
24 cm
−3 ,
T = 0.5–2 keV (i.e. μ ∼ 0.01–0.3). In Tables 1 and 2 we list the results of
Table 1 Energy shifts ΔE (cm
−1 ) for the 2 s
2
-[2s 1/2 2p 3/2 ] 1 transition in spectra of the Be-like Ni
and Kr ions for different values of the n e (cm
−3
) and T (in eV) (see explanations in text)
n e
10
22
10
23
10
24
10
22
10
23
10
24
Z
kT
Li et al.
Li et al.
Li et al.
Our data
Our data
Our data
NiXXV
500
31.3
292.8
2639.6
33.8
300.4
2655.4
1000
23.4
221.6
2030.6
25.7
229.1
2046.1
2000
18.0
172.0
1597.1
20.1
179.8
1612.5
I-S
8.3
86.6
870.9
KrXXXIII
500
21.3
197.9
2191.9
27.2
215.4
2236.4
1000
15.5
150.5
1659.6
21.3
169.1
1705.1
2000
11.5
113.5
1268.0
16.9
128.3
1303.8
62
A. V. Glushkov et al.