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Figures
σ 1,2 FE54a AL58 PI61 DM62a DM65 IT80b KN82 DM83 RU85a FA88 BA90 AT91 MO93 SA95
σ 1,0 FE54b HA55 ST55 FE56 GI56 GH57 BA58 AL58 JO59 NI61a PI61 WI67c LA70 GI71 SH71 WI75 HE78 IT80a DM83 RU85a FA88 BA90 AT91
σ 1,-1 DU56

Figures

He + + He → He 2+

Table 1 (Experiment)

N.V. Fedorenko // Zh. Tech. Fiz. v.24 p.769 (1954)

E , Mev/amu E , MeV σ 1,2 , 10 -16 cm 2
0.0050 0.020 0.005

Table 2 (Experiment)

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

E, Mev/amu E, MeV σ 1,2 , 10 -16 cm 2
0.025 0.100 0.056
0.03125 0.125 0.060
0.0375 0.150 0.064
0.04375 0.175 0.076
0.05 0.20 0.088
0.0625 0.25 0.10
0.075 0.30 0.12
0.0875 0.35 0.15
0.10 0.40 0.19
0.1125 0.45 0.21

Table 3 (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 0.095
0.075 0.3 0.15
0.100 0.4 0.19
0.150 0.6 0.21
0.175 0.7 0.26
0.200 0.8 0.24
0.225 0.9 0.22
0.250 1.0 0.24
0.275 1.1 0.20
0.300 1.2 0.21
0.325 1.3 0.18
0.350 1.4 0.16
0.375 1.5 0.14

Table 4 (Experiment)

I.S. Dmitriev, V.S. Nikolaev, L.N.Fateyeva, Ya. A. Teplova // Zh.Eksp.Teor.Fiz. 42, 16 (1962)

E , Mev/amu

V, 10 8 cm/s

σ 1,2 , 10 -16 cm 2
0.334 8.0 0.20 ± 0.03

Not indicated error does not exceed 15 %

Table 5 (Theory - PWBA)

I.S. Dmitriev,Ya.M. Zhileikin, V.S. Nikolaev //Zh.Eksp.Teor.Fiz.49, 500 (1965)

E, Mev/amu V , 10 8 cm/s σ 1,2 , 10 -16 cm 2
0.0052 1.0 0.0054
0.0118 1.5 0.033
0.0209 2.0 0.088
0.0326 2.5 0.13
0.0470 3.0 0.17
0.0836 4.0 0.20
0.131 5.0 0.22
0.256 7.0 0.20
0.522 10.0 0.13
1.175 15.0 0.067
2.089 20.0 0.039
4.700 30.0 0.018

Table 6 (Experiment)

A.Itoh, K.Ohnishi, F.Fukuzawa // J.Phys.Soc.Jap. v.49 p.1513 (1980)

E, MeV/amu E, MeV σ 1,2 , 10 -16 cm 2
0.175 0.7 0.18 ± 0.02
0.250 1.0 0.16 ± 0.01
0.375 1.5 0.15 ± 0.01
0.500 2.0 0.11 ± 0.01

Table 7 (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 0.0758 ± 0.0015
2.0 0.0395 ± 0.0010
4.34 0.0211 ± 0.0008

Table 8 (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 0.17
0.752 12.0 0.11
2.1 20.0 0.044 ± 0.007

Not indicated error does not exceed 15 %

Table 9 (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
0.0035 0.014 0.0026
0.005 0.020 0.0056
0.0075 0.030 0.011
0.010 0.040 0.016
0.015 0.060 0.028
0.0213 0.085 0.041
0.030 0.120 0.059
0.0425 0.170 0.095
0.0625 0.250 0.16
0.0875 0.350 0.20

Not indicated error does not exceed 26 %

Table 10 (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
0.25 1.0 0.160
0.30 1.2 0.134
0.375 1.5 0.120
0.50 2.0 0.093
0.625 2.5 0.086
0.750 3.0 0.076
0.875 3.5 0.066
1.0 4.0 0.059

Table 11 (Recommended data)

C.F. Barnett // Atomic Data for Fusion. V.1, ORNL-6086 (1990).

E , Mev/amu

σ 1,2 , 10 -16 cm 2
0.0035 2.63e-3
0.004 3.68e-3
0.007 0.0102
0.01 0.0164
0.015 0.0274
0.02 0.0387
0.04 0.0889
0.07 0.167
0.10 0.214
0.15 0.235
0.17 0.236
0.20 0.234
0.40 0.169
0.70 0.107
1.0 0.0773
1.5 0.0521
2.0 0.0391
4.0 0.0198

Table 12 (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 0.134
0.20 0.136
0.25 0.137
0.30 0.134
0.35 0.131
0.40 0.128
0.45 0.124
0.50 0.122
0.55 0.116

Error does not exceed 14 %

Table 13 (Experiment)

E.C.Montenegro, W.S. Melo, W.E.Meyerhof, A.G.Pinho // Phys.Rev. A v.48 p.4259 (1993)

E, Mev/amu E, MeV σ 1,2 , 10 -16 cm 2
0.375 1.5 0.200 ± 0.030
0.450 1.8 0.170 ± 0.020
0.5 2.0 0.166 ± 0.020
0.625 2.5 0.125 ± 0.010
0.750 3.0 0.114 ± 0.010
0.875 3.5 0.102 ± 0.010
1.0 4.0 0.087 ± 0.009

Table 14 (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 0.201 ± 0.024
0.375 1.5 0.192 ± 0.023
0.5 2.0 0.167 ± 0.020
0.625 2.5 0.129 ± 0.015
0.750 3.0 0.098 ± 0.012
0.875 3.5 0.087 ± 0.010
1.0 4.0 0.093 ± 0.011

He + + He → He 0

Table 15 (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 7.7
0.00250 0.010 4.9
0.00375 0.015 4.2
0.00500 0.020 4.4
0.00625 0.025 3.7
0.00750 0.030 3.7

Table 16 (Experiment)

H.B.Gilbody, J.B. Hasted // Proc.Roy.Soc. (London) A238, p.334 (1956)

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
0.00005 0.0002 14.5
0.00010 0.0004 13.4
0.00015 0.0006 12.8
0.00020 0.0008 12.2
0.00025 0.001 11.7
0.0010 0.004 7.1
0.0015 0.006 6.4
0.0020 0.008 5.8
0.0030 0.012 5.1
0.0040 0.016 4.9
0.0050 0.020 4.6
0.00625 0.025 4.3
0.0075 0.030 4.0
0.00875 0.035 4.0
0.010 0.040 3.9

Table 17 (Experiment)

S.N.Ghosh, W.F. Sheridan // Indian J.Phys v.31 p.337 (1957)

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
0.00005 0.0002 12.4
0.00010 0.0004 12.0
0.00015 0.0006 12.0
0.00020 0.0008 12.0

Table 18 (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 10.8
0.0001 0.0004 9.5
0.00015 0.0006 9.2
0.0002 0.0008 8.6
0.00025 0.001 8.2
0.00050 0.002 7.0

Table 19 (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
0.0005 0.002 8.2
0.00075 0.003 7.8
0.001 0.004 7.4
0.00125 0.005 7.2
0.0015 0.006 6.9
0.00175 0.007 6.6
0.002 0.008 6.3
0.003 0.012 5.8
0.004 0.016 5.5
0.005 0.020 5.2
0.00625 0.025 4.8
0.0075 0.030 4.4
0.00875 0.035 3.9
0.010 0.040 3.8

Table 20 (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
0.003 0.012 6.1
0.00575 0.023 4.7
0.00875 0.035 4.0
0.01125 0.045 3.1
0.015 0.060 2.9
0.01875 0.075 2.5
0.0225 0.090 2.3
0.02625 0.105 2.0
0.030 0.120 1.8
0.03375 0.135 1.6
0.03625 0.145 1.4
0.04125 0.165 1.4
0.04375 0.175 1.3

Table 21 (Experiment)

C.F.Barnett, H.K.Reynolds // Phys.Rev. 109, 385 (1958)

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

E, Mev/amu E, MeV σ 1,0 , 10 -16 cm 2
0.00075 0.003 7.2
0.002 0.008 6.3
0.003 0.012 5.8
0.004 0.016 5.3
0.005 0.020 5.0
0.0075 0.030 4.3
0.010 0.040 3.8
0.015 0.060 3.0
0.020 0.080 2.4

Table 22 (Experiment)

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

E, Mev/amu E, MeV σ 1,0 , 10 -16 cm 2
0.025 0.100 1.7
0.03125 0.125 1.5
0.0375 0.150 1.2
0.04375 0.175 1.0
0.05 0.20 0.86
0.0625 0.25 0.62
0.075 0.30 0.44
0.0875 0.35 0.31
0.10 0.40 0.22
0.1125 0.45 0.15

Table 23 (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 3.8
0.0125 0.050 3.0
0.025 0.100 1.9

Table 24 (Experiment)

V.S. Nikolaev, I.S. Dmitriev, L.N.Fateyeva,Ya. A. Teplova // Zh.Eksp.Teor.Fiz. 40, 989 (1961)

E , Mev/amu

V, 10 8 cm/s

σ 1,0 , 10 -16 cm 2
0.091 4.1 0.37
0.164 5.6 0.089
0.334 8.0 0.018

Not indicated error does not exceed 15 %

Table 25 (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 0.95
0.075 0.3 0.58
0.100 0.4 0.24
0.125 0.5 0.15
0.150 0.6 0.10
0.175 0.7 0.070
0.200 0.8 0.040
0.225 0.9 0.032
0.250 1.0 0.023
0.275 1.1 0.018
0.300 1.2 0.012
0.325 1.3 0.010
0.350 1.4 0.0085
0.375 1.5 0.0081

Table 26 (Experiment)

A.B.Wittkower, G.Levy, H.B. Gilbody // Proc. Phys. Soc. v.91 p.862 (1967)

E, Mev/amu E, MeV σ 1,0 , 10 -16 cm 2
0.0185 0.075 2.3
0.025 0.100 1.8
0.03125 0.125 1.5
0.0375 0.150 1.3
0.050 0.200 0.96
0.0625 0.250 0.65
0.075 0.300 0.43

Table 27 (Experiment)

Z.Z. Latypov, N.V. Fedorenko, I.P. Flaks, A.A. Shaporenko // Pis'ma Zh.Eksp.Teor.Fiz. 11, 189 (1970)

E, Mev/amu E, MeV σ 1,0 , 10 -16 cm 2
0.0000375 0.00015 24.2 ± 1.3
0.000050 0.00020 20.9 ± 0.5
0.0000513 0.00025 19.6 ± 0.5
0.000075 0.00030 17.9 ± 0.5
0.0000875 0.00035 17.5 ± 0.5
0.00010 0.00040 17.0 ± 0.5
0.000113 0.00045 14.9 ± 0.5
0.000125 0.00050 13.5 ± 0.5
0.000150 0.00060 12.6 ± 0.5
0.000175 0.00070 12.3 ± 0.5
0.000200 0.00080 11.4 ± 0.5
0.000225 0.00090 11.0 ± 0.5
0.000250 0.0010 10.5 ± 0.5
0.000275 0.0011 10.4 ± 0.5
0.000300 0.0012 10.8 ± 0.5
0.000325 0.0013 10.8 ± 0.5
0.000350 0.0014 10.9 ± 0.5
0.000375 0.0015 11.3 ± 0.5
0.000400 0.0016 11.5 ± 0.5
0.000425 0.0017 11.2 ± 0.5
0.000450 0.0018 10.8 ± 0.5
0.000475 0.0019 10.6 ± 0.5
0.000500 0.0020 10.5 ± 0.5
0.000525 0.0021 10.5 ± 0.5
0.000550 0.0022 9.7 ± 0.5
0.000600 0.0024 9.7 ± 0.4
0.000650 0.0026 9.7 ± 0.4
0.000700 0.0028 9.8 ± 0.4
0.000750 0.0030 9.8 ± 0.4
0.000800 0.0032 9.8 ± 0.4

Table 28 (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
0.0075 0.030 3.80 ± 0.08
0.010 0.040 3.20 ± 0.05
0.015 0.060 2.58 ± 0.04
0.020 0.080 2.12 ± 0.03
0.025 0.100 1.83 ± 0.02
0.03125 0.125 1.54 ± 0.03
0.0375 0.150 1.30 ± 0.02
0.04375 0.175 1.12 ± 0.03
0.0500 0.200 0.99 ± 0.02

Table 29 (Experiment)

W.N. Shelton, P.A. Stoycheff // Phys. Rev. A v.3 p.613 (1971)

E, Mev/amu E, MeV σ 1,0 , 10 -16 cm 2
0.00050 0.002 8.46
0.00075 0.003 7.78
0.00100 0.004 7.29
0.00125 0.005 6.94
0.00150 0.006 6.58
0.00175 0.007 6.33
0.00200 0.008 6.13
0.00225 0.009 5.96
0.00250 0.010 5.81
0.00275 0.011 5.69
0.00300 0.012 5.56
0.00325 0.013 5.45
0.00350 0.014 5.36
0.00375 0.015 5.26
0.00400 0.016 5.15
0.00425 0.017 5.05
0.00450 0.018 4.97
0.00475 0.019 4.89
0.00500 0.020 4.81
0.00525 0.021 4.74
0.00550 0.022 4.63

Error does not exceed 5 %

Table 30 (Theory - FBA)

T.G. Winter, C.C.Lin // Phys. Rev. A v.12 p.434 (1975)

E, MeV/amu E, MeV σ 1,0 , πa o 2 σ 1,0 , 10 -16 cm 2
0.025 0.1 4.37 3.84
0.050 0.2 1.62 1.42
0.100 0.4 0.45 0.40
0.25 1.0 0.047 0.042
2.5 10.0 6.7e-6 5.9e-6

Table 31 (Experiment)

R. Hegerberg, T. Stefansson, M.T. Elsord // J. Phys.B v.11 p.133 (1978)

E, Mev/amu E, MeV σ 1,0 , 10 -16 cm 2
0.000250 0.00100 10.66 ± 0.25
0.000268 0.00107 10.51 ± 0.25
0.000275 0.00110 10.46 ± 0.23
0.000283 0.00113 10.41 ± 0.24
0.000300 0.00120 10.28 ± 0.24
0.000320 0.00128 10.15 ± 0.26
0.000340 0.00136 10.05 ± 0.23
0.000365 0.00146 9.94 ± 0.22
0.000375 0.00150 9.85 ± 0.23
0.000418 0.00167 9.65 ± 0.22
0.000448 0.00179 9.53 ± 0.21
0.000483 0.00193 9.35 ± 0.21
0.000520 0.00208 9.20 ± 0.21
0.000565 0.00226 9.02 ± 0.20
0.000613 0.00245 8.91 ± 0.20
0.000675 0.00270 8.74 ± 0.20
0.000725 0.00290 8.59 ± 0.21
0.000800 0.00320 8.39 ± 0.22
0.000900 0.00360 8.19 ± 0.20
0.00100 0.00400 7.98 ± 0.20
0.00113 0.00450 7.77 ± 0.19
0.00125 0.00500 7.59 ± 0.16
0.00143 0.00570 7.37 ± 0.16
0.00163 0.00650 7.13 ± 0.16
0.00188 0.00750 6.89 ± 0.15
0.00220 0.00880 6.58 ± 0.15
0.0025 0.0100 6.35 ± 0.14

Table 32 (Experiment)

A.Itoh, M.Asari, F.Fukuzawa // J.Phys.Soc.Jap. v.48 p.943 (1980)

E, MeV/amu E, MeV σ 1,0 , 10 -16 cm 2
0.175 0.7 0.10 ± 0.01
0.250 1.0 0.020 ± 0.003
0.375 1.5 0.0066 ± 0.0007
0.500 2.0 0.0012 ± 0.0002

Table 33 (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 0.016

Not indicated error does not exceed 15 %

Table 34 (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 6.0
0.00175 0.007 6.3
0.0025 0.010 6.1
0.0035 0.014 5.6
0.005 0.020 5.1
0.0075 0.030 4.3
0.010 0.040 3.7
0.015 0.060 3.0
0.0213 0.085 2.5
0.030 0.120 2.0
0.0425 0.170 1.4
0.0625 0.250 0.85
0.0875 0.350 0.45

Not indicated error does not exceed 13 %

Table 35 (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 1.15e-2
0.375 1.5 5.2e-3
0.50 2.0 1.87e-3
0.625 2.5 7.6e-4
0.750 3.0 3.9e-4
0.875 3.5 2.1e-4
1.0 4.0 1.2e-4

Table 36 (Recommended data)

C.F. Barnett // Atomic Data for Fusion. V.1, ORNL-6086 (1990).

E , Mev/amu

σ 1,0 , 10 -16 cm 2
4.e-8 33.2
7.e-8 31.2
1.e-7 29.7
2.e-7 28.5
4.e-7 26.4
7.e-7 24.3
1.e-6 23.1
2.e-6 21.0
4.e-6 19.6
7.e-6 18.3
1.e-5 17.5
2.e-5 15.4
4.e-5 13.9
7.e-5 13.1
1.e-4 12.6
2.e-4 11.1
4.e-4 9.87
7.e-4 8.56
0.001 7.92
0.002 6.48
0.004 5.26
0.007 4.22
0.01 3.60
0.02 2.36
0.04 1.28
0.07 0.558
0.1 0.268
0.2 0.0549
0.4 4.12e-3
0.53 1.08e-3

Table 37 (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 0.16
0.20 0.073
0.25 0.031
0.30 0.021
0.35 0.014
0.40 0.0073
0.45 0.0051
0.50 0.0032
0.55 0.0021

Error does not exceed 14 %

He + + He → He -

Table 38 (Experiment)

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

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

E, Mev/amu E, MeV σ 1,-1 , 10 -16 cm 2
0.015 0.060 2.e-5
0.020 0.080 2.e-5
0.025 0.100 2.e-5
0.03125 0.125 2.e-5
0.0375 0.150 2.e-5
0.04375 0.175 2.e-5