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Figures
σ 1,2 JO59 PI61 SH75 KN82 DM83 KA84b RU85a FA88 DU89 AT91 SA95
σ 1,0 FE54b HA55 ST55 FE56 BA58 JO59 PI61 GI63 HE66 KO67 MA68 GI71 EI77 DM83 RU85a FA88 DU89 AT91 SH09 NO10
σ 1,-1 DU56

Figures

He + + Ar → He 2+

Table 1 (Experiment)

P.R. Jones, F.D.Ziemba, H.A.Moses, E.Everhart // Phys.Rev. v.113, p.182 (1959)

S.K.Allison, M. Garsia-Munoz // Atomic and molecular processes.v.19, ed. D.R.Bates, Academic Press, EFINS-61-4 (1961)

E, MeV/amu E, MeV σ 1,2 , 10 -16 cm 2
0.00625 0.025 0.0047
0.0125 0.050 0.025
0.025 0.100 0.077

Table 2 (Experiment)

L.I.Pivovar, V.M. Tubayev, M.T.Novikov // Zh.Eksp.Teor.Fiz. 41, 26 (1961)

E, MeV/amu E, MeV σ 1,2 , 10 -16 cm 2
0.050 0.2 0.26
0.075 0.3 0.55
0.100 0.4 0.90
0.125 0.5 1.1
0.150 0.6 1.3
0.175 0.7 1.3
0.200 0.8 1.4
0.225 0.9 1.4
0.250 1.0 1.4
0.275 1.1 1.3
0.300 1.2 1.3
0.325 1.3 1.3
0.350 1.4 1.2
0.375 1.5 1.1

Table 3 (Experiment)

M.B. Shah, H.B. Gilbody // J. Phys. B v.8 p.372 (1975)

E, MeV/amu E, MeV σ 1,2 , 10 -16 cm 2
0.00563 0.0225 0.0029 ± 0.0006
0.0075 0.030 0.0108 ± 0.0010
0.0083 0.0333 0.015 ± 0.001
0.0094 0.0375 0.019 ± 0.001
0.0100 0.0400 0.025 ± 0.001
0.0113 0.0450 0.030 ± 0.002
0.0125 0.0500 0.041 ± 0.002

Table 4 (Experiment)

H.Knudsen, L.H.Andersen, H.K.Haugen, P.Hvelplund // Physica Scripta v.26 p.132 (1982)

E, MeV/amu σ 1,2 , 10 -16 cm 2
1.0 0.811 ± 0.020
2.0 0.538 ± 0.012
4.34 0.340 ± 0.011

Table 5 (Experiment)

I.S. Dmitriev, N.F. Vorobiev, V.P. Zaikov, Zh.M. Konovalova, V.S. Nikolaev, Ya.A. Teplova, Yu.A. Fainberg // J. Phys. B. 15, L351 (1982)

I.S. Dmitriev, N.F. Vorobiev, Zh. M. Konovalova, V.S. Nikolaev, V.N. Novozhilova, Ya. A. Teplova,Yu.A. Fainberg // Zh.Eksp.Teor.Fiz. 84, 1987 (1983)

E , MeV/amu

V, 10 8 cm/s

σ 1,2 , 10 -16 cm 2
0.334 8.0 1.2
0.752 12.0 0.84
2.1 20.0 0.48 ± 0.11

Not indicated error does not exceed 15 %

Table 6 (Experiment)

I. Katayama, G.P. A. Berg, W. Hurlimann, S.A. Martin, J.Meissburger, W. Oelert, M. Rogge, J.G.M.Romer, J.L. Tain, L. Zemlo, G. Gaul // J. Phys. B v.17 p.L23 (1984)

E , Mev/amu

V, a.u.

σ 1,2 , π a0 2 σ 1,2 , 10 -16 cm 2
22.6 29.7 0.1252 ± 0.0062 0.1089 ± 0.0054
33.1 35.8 0.0911 ± 0.0051 0.0793 ± 0.0044
43.4 40.7 0.0813 ± 0.0045 0.0707 ± 0.0039

Table 7 (Experiment)

M.E.Rudd, T.V.Goffe, A.Itoh, R.D. DuBois // Phys. Rev. A v.32 p.829 (1985)

E, MeV/amu E, MeV σ 1,2 , 10 -16 cm 2
0.0075 0.030 0.0055
0.010 0.040 0.012
0.015 0.060 0.031
0.0213 0.085 0.065
0.030 0.120 0.12
0.0425 0.170 0.20
0.0625 0.250 0.41
0.0875 0.350 0.70

Not indicated error does not exceed 20 %

Table 8 (Experiment)

N.V. de Castro Faria, F.L. Freire, A.G. de Pinho // Phys. Rev. A v.37 p.280 (1988)

E, MeV/amu E, MeV σ 1,2 , 10 -16 cm 2
0.1875 0.75 1.24
0.25 1.0 1.41
0.30 1.2 1.30
0.375 1.5 1.25
0.50 2.0 1.17
0.625 2.5 1.04
0.750 3.0 0.96
0.875 3.5 0.92
1.0 4.0 0.87

Table 9 (Experiment)

R.D. DuBois // Phys. Rev. A v.39 p.4440 (1989)

E, Mev/amu σ 1,2 , 10 -16 cm 2
0.0375 0.171
0.050 0.306
0.075 0.620
0.100 0.983
0.125 1.627
0.175 1.623
0.250 1.413
0.375 1.123
0.500 0.881

Error does not exceed 25 %

Table 10 (Experiment)

H.Atan, W.Steckelmacher, M.W.Lucas // J.Phys. B v.24 p.2559 (1991)

E , MeV/amu

σ 1,2 , 10 -16 cm 2
0.15 1.14
0.20 1.17
0.25 1.22
0.30 1.21
0.35 1.17
0.40 1.16
0.45 1.13
0.50 1.11
0.55 1.09

Error does not exceed 14 %

Table 11 (Experiment)

M.M.Sant'Anna, W.S. Melo, A.C.F.Santos, G.M. Sigaud, E.C.Montenegro // NIM B v.99 p.46 (1995)

E, MeV/amu E, MeV σ 1,2 , 10 -16 cm 2
0.250 1.0 1.38 ± 0.17
0.375 1.5 1.38 ± 0.17
0.5 2.0 1.17 ± 0.14
0.625 2.5 1.06 ± 0.13
0.750 3.0 0.954 ± 0.110
0.875 3.5 0.845 ± 0.100
1.0 4.0 0.826 ± 0.094

He + + Ar → He 0

Table 12 (Experiment)

N.V. Fedorenko // Zh. Tech. Fiz. v.24 p.2113 (1954)

E, MeV/amu E, MeV σ 1,0 , 10 -16 cm 2
0.00125 0.005 4.7
0.00250 0.010 7.1
0.00375 0.015 8.0
0.00500 0.020 6.2
0.00625 0.025 8.1
0.00750 0.030 7.6

Table 13 (Experiment)

S.K.Allison // Rev. Mod. Phys. v.30 p1137-1168 (1958)

J.B.Hasted // Proc.Roy. Soc. (London) A227, 466 (1955)

E, MeV/amu E, MeV σ 1,0 , 10 -16 cm 2
0.00005 0.0002 1.0
0.0001 0.0004 1.3
0.00015 0.0006 1.5
0.0002 0.0008 1.9
0.00025 0.001 2.1
0.0005 0.002 3.0
0.00075 0.003 3.4

Table 14 (Experiment)

S.K.Allison // Rev. Mod. Phys. v.30 p1137-1168 (1958)

J.B.A. Stedeford // Proc.Roy. Soc. (London) A227, 466 (1955)

E, MeV/amu E, MeV σ 1,0 , 10 -16 cm 2
0.00075 0.003 3.5
0.001 0.004 4.2
0.00125 0.005 4.9
0.0015 0.006 5.0
0.00175 0.007 5.2
0.002 0.008 5.5
0.003 0.012 6.5
0.004 0.016 6.6
0.005 0.020 6.7
0.0075 0.030 6.8
0.010 0.040 6.8

Table 15 (Experiment)

N.V. Fedorenko, V.V.Afrosimov, D.M. Kaminker // Zh. Tech. Fiz. v.26 p.1929 (1956)

E, MeV/amu E, MeV σ 1,0 , 10 -16 cm 2
0.00125 0.005 4.8
0.0025 0.010 6.7
0.005 0.020 8.1
0.0075 0.030 7.1
0.01125 0.045 6.9
0.015 0.060 6.3
0.01625 0.065 6.2
0.01875 0.075 6.1
0.020 0.080 6.0
0.0225 0.090 5.8
0.02625 0.105 5.4
0.030 0.120 5.7
0.0325 0.130 5.6
0.03625 0.145 5.4
0.040 0.160 5.2
0.04375 0.175 4.4

Table 16 (Experiment)

C.F.Barnett, P.M.Stier // Phys.Rev. 109, 385 (1958)

S.K.Allison // Rev. Mod. Phys. v.30 p1137-1168 (1958)

E, MeV/amu E, MeV σ 1,0 , 10 -16 cm 2
0.002 0.008 5.1
0.003 0.012 5.8
0.004 0.016 6.3
0.005 0.020 7.5
0.0075 0.030 6.6
0.010 0.040 6.1
0.0125 0.050 6.3
0.015 0.060 6.0
0.0175 0.070 5.7
0.020 0.080 5.2
0.025 0.100 4.6
0.03125 0.125 3.6
0.0375 0.150 3.1
0.04375 0.175 2.6
0.050 0.200 2.3

Table 17 (Experiment)

P.R. Jones, F.D.Ziemba, H.A.Moses, E.Everhart // Phys.Rev. v.113, p.182 (1959)

S.K.Allison, M. Garsia-Munoz // Atomic and molecular processes.v.19, ed. D.R.Bates, Academic Press, EFINS-61-4 (1961)

E, MeV/amu E, MeV σ 1,0 , 10 -16 cm 2
0.00625 0.025 7.8
0.0125 0.050 6.4
0.025 0.100 5.3

Table 18 (Experiment)

L.I.Pivovar, V.M. Tubayev, M.T.Novikov // Zh.Eksp.Teor.Fiz. 41, 26 (1961)

E, MeV/amu E, MeV σ 1,0 , 10 -16 cm 2
0.050 0.2 1.9
0.075 0.3 1.0
0.100 0.4 0.60
0.125 0.5 0.32
0.150 0.6 0.20
0.175 0.7 0.12
0.200 0.8 0.080
0.225 0.9 0.057
0.250 1.0 0.037
0.275 1.1 0.026
0.300 1.2 0.020
0.325 1.3 0.019
0.350 1.4 0.013
0.375 1.5 0.011

Table 19 (Experiment)

H.B. Gilbody, J.B. Hasted, J.V. Ireland, A.R. Lee, E.W. Thomas, A.S. Whiteman // Proc. Roy. Soc.(London) A v.274 p.40 (1963)

E, MeV/amu E, MeV σ 1,0 , 10 -16 cm 2
0.0263 0.105 5.8
0.0375 0.150 4.6
0.0450 0.180 4.8
0.0563 0.225 3.3
0.0650 0.260 3.1
0.0775 0.310 2.8
0.0938 0.375 2.4
0.103 0.410 1.6

Error does not exceed 10 %

Table 20 (Experiment)

F.J. Heer, J. Schutten, H. Muustafa // Physica v.32 p.1793 (1966)

E, MeV/amu E, MeV σ 1,0 , 10 -16 cm 2
0.00250 0.010 6.88
0.00375 0.015 7.25
0.00500 0.020 7.51
0.00625 0.025 7.35
0.00750 0.030 7.52
0.00875 0.035 7.41
0.0100 0.040 7.13
0.0125 0.050 6.52
0.0150 0.060 6.00
0.0175 0.070 5.70
0.0200 0.080 5.41
0.0225 0.090 5.01
0.0250 0.100 4.69
0.0275 0.110 4.54
0.0300 0.120 4.26
0.0325 0.130 4.10
0.0350 0.140 4.00

Error does not exceed 6 %

Table 21 (Experiment)

D. W. Koopman // Phys. Rev. v.154 p.79 (1967)

E , MeV/amu

E , MeV

σ 1,0 , 10 -16 cm 2
0.000025 0.0001 1.7
0.000050 0.0002 1.8
0.000100 0.0004 2.1
0.000150 0.0006 2.4
0.000200 0.0008 2.6
0.000250 0.0010 3.0

Error does not exceed 20 %

Table 22 (Experiment)

P.Mahadevan, G.D. Magnuson // Phys. Rev. v.171 p.103 (1968)

E, Mev/amu E, MeV σ 1,0 , 10 -16 cm 2
6.25e-6 25.0e-6 3.1
10.5e-6 42.0e-6 2.6
16.0e-6 64.0e-6 2.3
19.0e-6 76.0e-6 1.9
20.5e-6 82.0e-6 2.3
25.0e-6 100.0e-6 2.3
32.5e-6 130.0e-6 2.1
41.0e-6 164.0e-6 1.8
47.5e-6 190.0e-6 2.1

Error does not exceed 20 %

Table 23 (Experiment)

H.B.Gilbody, K.F. Dunn, R.Browning, C.J.Latimer // J.Phys. B v.4 p.800 (1971)

E, MeV/amu E, MeV σ 1,0 , 10 -16 cm 2
0.0025 0.010 6.70 ± 0.14
0.0050 0.020 7.20 ± 0.15
0.0075 0.030 7.125 ± 0.15
0.010 0.040 6.64 ± 0.14
0.015 0.060 5.28 ± 0.12
0.020 0.080 4.57 ± 0.05
0.025 0.100 3.86 ± 0.05
0.03125 0.125 3.32 ± 0.06
0.0375 0.150 3.00 ± 0.08
0.04375 0.175 2.73 ± 0.07
0.0500 0.200 2.45 ± 0.06

Table 24 (Experiment)

F. L. Eisele, S.W. Nagy // J. Chem. Phys. v.66 p.883 (1977)

E, MeV/amu E, keV σ 1,0 , 10 -16 cm 2
0.0002 0.8 4.47 ± 0.19
0.000225 0.9 4.67 ± 0.19
0.000250 1.0 4.83 ± 0.16
0.000300 1.2 4.71 ± 0.15
0.000350 1.4 4.88 ± 0.14
0.000400 1.6 4.97 ± 0.16
0.000450 1.8 5.16 ± 0.15
0.000500 2.0 5.26 ± 0.15
0.000550 2.2 5.36 ± 0.16
0.000600 2.4 5.46 ± 0.17
0.000650 2.6 5.48 ± 0.18
0.000700 2.8 5.72 ± 0.18
0.000750 3.0 5.74 ± 0.18
0.000800 3.2 5.81 ± 0.17
0.000850 3.4 5.85 ± 0.18
0.000900 3.6 5.94 ± 0.18
0.000950 3.8 6.06 ± 0.18
0.00100 4.0 6.19 ± 0.18
0.00105 4.2 6.31 ± 0.19
0.00110 4.4 6.48 ± 0.19
0.00115 4.6 6.52 ± 0.21
0.00120 4.8 6.70 ± 0.20
0.00125 5.0 6.75 ± 0.20

Table 25 (Experiment)

I.S. Dmitriev, N.F. Vorobiev, Zh. M. Konovalova, V.S. Nikolaev, V.N. Novozhilova, Ya. A. Teplova,Yu.A. Fainberg // Zh.Eksp.Teor.Fiz. 84, 1987 (1983)

E , MeV/amu

V, 10 8 cm/s

σ 1,0 , 10 -16 cm 2
0.334 8.0 0.018 ± 0.005

Table 26 (Experiment)

M.E.Rudd, T.V.Goffe, A.Itoh, R.D. DuBois // Phys. Rev. A v.32 p.829 (1985)

E, MeV/amu E, MeV σ 1,0 , 10 -16 cm 2
0.00125 0.005 4.8
0.00175 0.007 5.7
0.0025 0.010 6.5
0.0035 0.014 7.1
0.005 0.020 7.4
0.0075 0.030 7.4
0.010 0.040 7.1
0.015 0.060 6.2
0.0213 0.085 5.3
0.030 0.120 4.1
0.0425 0.170 2.9
0.0625 0.250 1.7
0.0875 0.350 0.87

Not indicated error does not exceed 13 %

Table 27 (Experiment)

N.V. de Castro Faria, F.L. Freire, A.G. de Pinho // Phys. Rev. A v.37 p.280 (1988)

E, MeV/amu E, MeV σ 1,0 , 10 -16 cm 2
0.30 1.2 1.80e-2
0.375 1.5 9.6e-3
0.50 2.0 4.4e-3
0.625 2.5 2.80e-3
0.750 3.0 2.09e-3
0.875 3.5 1.68e-3
1.0 4.0 1.35e-3

Table 28 (Experiment)

R.D. DuBois // Phys. Rev. A v.39 p.4440 (1989)

E, Mev/amu σ 1,0 , 10 -16 cm 2
0.00375 9.41
0.00625 9.39
0.0125 8.63
0.0188 7.35
0.0250 6.02
0.0375 5.18
0.050 3.32
0.075 1.64
0.100 0.706
0.125 0.525
0.175 0.190
0.250 0.0603
0.375 0.0123
0.500 0.00337

Error does not exceed 25 %

Table 29 (Experiment)

H.Atan, W.Steckelmacher, M.W.Lucas // J.Phys. B v.24 p.2559 (1991)

E , MeV/amu

σ 1,0 , 10 -16 cm 2
0.15 0.24
0.20 0.10
0.25 0.041
0.30 0.022
0.35 0.012
0.40 0.0092
0.45 0.0066
0.50 0.0054
0.55 0.0033

Error does not exceed 14 %

Table 30 (Theory - OBK with normalization at low energy)

V.P. Shevelko, D. Kato, M.Y. Song, H. Tawara, I. Yu. Tolstikhina, J.S. Yoon // Nucl. Instr. Methods Phys. Res. B v.267 p.3395 (2009)

E , Mev/amu

σ 1,0 , 10 -16 cm 2
0.0003 0.48
0.0005 0.83
0.001 1.1
0.002 3.8
0.003 6.7
0.005 10.
0.010 12.
0.020 9.0
0.030 7.8
0.050 4.5
0.10 1.7
0.20 0.30
0.30 4.8e-2
0.50 1.9e-2
1.0 4.0e-3
2.0 4.5e-4
3.0 3.2e-5
5.0 3.0e-6
10.0 3.0e-7

Table 31 (Theory - FBA)

N.V. Novikov // Poverkhnost’ N4, 12 (2010); J.Surface Investigation v.4, N4, p.276 (2010)

E , Mev/amu

σ 1,0 , 10 -16 cm 2
0.05 1.17
0.07 0.617
0.10 0.282
0.20 5.03e-2
0.30 1.71e-2
0.50 4.07e-3
0.70 1.64e-3
1.0 7.10e-4
2.0 1.54e-4

He + + Ar → He -

Table 32 (Experiment)

S.A.Allison // Rev. Mod. Phys. v.30 p1137-1168 (1958)

V.M. Dukel'skii, V.V.Afrosimov,N.V.Fedorenko // Zh. Eksp. Teor. Fiz 30, 792, (1956)

E, MeV/amu E, MeV σ 1,-1 , 10 -16 cm 2
0.005 0.020 0.0001
0.0075 0.030 0.0003
0.010 0.040 0.00055
0.0125 0.050 0.00065
0.015 0.060 0.00075
0.0175 0.070 0.00070
0.020 0.080 0.00060