Contents:

back to main page

Figures
σ 1,0 BA53 JA53 FI58 FI60 FI62 MA62 BR63 CH63 CH64 MC63c GI66 BE67 WI66 FU76 BE77c BE77d DE77 SH78 RE81 HV82b FU83 WI84 BE87b GE87a SC87 SH89c BA90 SC90 HA98 TO99 WI09

Figures

H + + H → H 0

Table 1 (Theory, OBK approximation)

D.R. Bates, A. Dalgarno // Proc. Phys. Soc. A v.66 p.972 (1953)

E, MeV/amu σ 1,0 , π a02 σ 1,0 , 10 -16 cm 2
0.0025 53.9 47.4
0.0079 15.3 13.5
0.025 3.42 3.01
0.079 0.229 0.201
0.250 3.2e-3 2.7e-3
0.790 1.2e-5 1.08e-5
2.5 2.3e-8 2.0e-8
7.9 3.1e-11 2.7e-11

Table 2 (Theory, Born approximation)

J.D.Jackson, H. Schiff // Phys. Rev. v.89 p.359 (1953)

E, MeV/amu σ 1,0 , 10 -16 cm 2
0.030 2.4
0.040 1.2
0.050 0.74
0.060 0.44
0.070 0.29
0.080 0.20
0.090 0.13
0.100 0.093
0.110 0.070
0.120 0.051
0.130 0.038
0.140 0.029
0.150 0.022

Table 3 (Experiment)

W.L. Fite, R.T.Brackmann, W.R.Snow // Phys. Rev., 112, 1161 (1958)

H.Tawara, T.Kato, Y.Nakai // At.Data Nucl.Data Tab. V.23 p.235 (1985)

E, MeV/amu σ 1,0 , 10 -16 cm 2
0.000024 29.0
0.000031 30.4
0.000040 28.1
0.000048 25.4
0.000060 22.9
0.000076 22.9
0.000090 21.5
0.000109 20.3
0.000116 20.7
0.000160 18.8
0.000203 17.3
0.000250 15.9
0.000303 15.0
0.000360 14.5
0.000400 14.3
0.000578 12.7
0.000706 12.2
0.000903 10.4
0.00132 8.0
0.00156 5.6

Table 4 (Experiment)

W.L. Fite, R.F.Stebbings, D.G.Hummer, R.T.Brackmann // Phys. Rev., 119, 663 (1960)

H.Tawara, T.Kato, Y.Nakai // At.Data Nucl.Data Tab. V.23 p.235 (1985)

E, MeV/amu σ 1,0 , 10 -16 cm 2
0.0004 26.0 ± 5.0
0.0010 20.0 ± 3.0
0.0018 17.0 ± 2.5
0.0036 14.0 ± 2.0
0.0070 10.5 ± 1.5
0.0100 9.0 ± 1.5
0.0200 6.4 ± 1.0
0.0300 4.1 ± 0.7
0.0400 3.1 ± 0.6

Table 5 (Experiment)

W.L. Fite, A.C.H. Smith, R.F.Stebbings // Proc. Roy. Soc., A 268, 527 (1962)

H.Tawara, T.Kato, Y.Nakai // At.Data Nucl.Data Tab. V.23 p.235 (1985)

E, MeV/amu σ 1,0 , 10 -16 cm 2
0.000019 43.0 ± 4.0
0.000022 36.0 ± 3.0
0.000023 40.0
0.000030 36.0 ± 3.0
0.000036 36.0
0.000038 32.0 ± 2.0
0.000046 33.0
0.000055 35.0
0.000060 32.0 ± 1.0
0.000076 27.0
0.00010 31.0
0.000107 31.0 ± 1.0
0.000143 26.0
0.000200 28.0
0.000230 23.0 ± 2.0
0.000300 25.0 ± 2.0
0.000470 22.0 ± 2.0
0.000610 21.0
0.000660 21.0 ± 2.0
0.000820 21.0
0.00100 19.0
0.00145 20.0 ± 4.0
0.00195 17.0

Table 6 (Theory, Born approximation)

R. A. Mapleton // Phys. Rev. v.126 p.1477 (1962)

E, MeV/amu σ 1,0 , π a02 σ 1,0 , 10 -16 cm 2
0.03162 0.0417 0.0368
0.05623 7.00e-3 6.16e-3
0.100 7.96e-4 7.00e-4
0.1778 6.39e-5 5.63e-5
0.3162 3.89e-6 3.42e-6
0.5623 1.92e-7 1.69e-7
1.0 8.14e-9 7.16e-9

Table 7 (Theory, Impulse approximation)

B. H. Bransden, I.M. Cheshire // Proc. Phys. Soc. v.81 p.820 (1963)

E, MeV/amu σ 1,0 , π a02 σ 1,0 , 10 -16 cm 2
0.025 3.8 3.34
0.050 1.4 1.23
0.100 0.26 0.229
0.150 0.072 0.0633
0.200 0.020 0.0176
0.400 1.8e-3 1.58e-3
0.600 2.4e-4 2.11e-4
0.800 5.5e-5 4.84e-5
1.0 2.0e-5 1.76e-5

Table 8 (Theory, Impulse approximation)

I.M. Cheshire // Proc. Phys. Soc. v.82 p.113 (1963)

E, MeV/amu σ 1,0 (1s,1s), π a02 σ 1,0 (1s,1s), 10 -16 cm 2
0.030 1.57 1.38
0.06324 0.225 0.198
0.11246 0.0329 0.0289
0.200 3.14e-3 2.76e-3
0.3556 2.25e-4 1.98e-4
0.6324 1.21e-5 1.06e-5
1.1236 5.97e-7 5.25e-7

Table 9 (Theory,CDW approximation)

I.M. Cheshire // Proc. Phys. Soc. v.84 p.89 (1964)

E, MeV/amu σ 1,0 (1s,1s), π a02 σ 1,0 (1s,1s), 10 -16 cm 2
0.0001 6.85e+5 6.03e+5
0.001 6700. 5890.
0.005 243. 214.
0.015 20.8 18.3
0.025 5.83 5.12
0.050 0.789 0.694
0.075 0.208 0.183
0.100 0.0733 0.0645
0.200 4.31e-3 3.79e-3
0.300 6.77e-4 5.96e-4
0.400 1.69e-4 1.49e-4
0.500 5.55e-5 4.88e-5
1.0 1.49e-6 1.31e-6

Table 10 (Theory,OBK approximation)

I.M. Cheshire // Proc. Phys. Soc. v.84 p.89 (1964)

E, MeV/amu σ 1,0 (1s,1s), π a02 σ 1,0 (1s,1s), 10 -16 cm 2
0.0001 1.27e+4 1.12e+4
0.001 1220. 1070.
0.005 201. 176.
0.015 4.24 3.73
0.025 1.68 1.48
0.050 3.37 2.96
0.075 1.04 0.915
0.100 0.400 0.352
0.200 0.0263 0.0231
0.300 4.17e-3 3.67e-3
0.400 1.02e-3 0.897e-3
0.500 3.29e-4 2.89e-4
1.0 7.95e-6 6.99e-6

Table 11 (Theory,Born approximation)

I.M. Cheshire // Proc. Phys. Soc. v.84 p.89 (1964)

E, MeV/amu σ 1,0 (1s,1s), π a02 σ 1,0 (1s,1s), 10 -16 cm 2
0.025 2.30 2.02
0.050 0.520 0.457
0.075 0.177 0.156
0.100 0.0734 0.0645
0.200 6.01e-3 5.29e-3
0.300 1.08e-3 0.950e-3
0.400 2.92e-4 2.57e-4
0.500 1.00e-4 0.880e-4
1.0 2.94e-6 2.59e-6

Table 12 (Experiment)

M.B. McElroy // Proc. Roy. Soc.A v.272 p.542 (1963)

E, MeV/amu σ 1,0 , 10 -16 cm 2
0.025 3.69
0.050 1.06
0.1 0.161
0.2 0.0133
0.4 6.48e-4
0.8 2.05e-5

Table 13 (Experiment)

H.B. Gilbody, G. Ryding // Proc. Roy. Soc. A v.291, p.438 (1966)

E, MeV/amu σ 1,0 , π a02 σ 1,0 , 10 -16 cm 2
0.038 2.5 ± 0.6 2.2 ± 0.5
0.043 1.6 ± 0.4 1.4 ± 0.3
0.048 0.68 ± 0.10 0.59 ± 0.09
0.058 0.48 ± 0.06 0.42 ± 0.05
0.068 0.32 ± 0.06 0.28 ± 0.05
0.078 0.24 ± 0.04 0.21 ± 0.03
0.088 0.18 ± 0.03 0.16 ± 0.03
0.098 0.12 ± 0.02 0.11 ± 0.02
0.108 0.086 ± 0.016 0.076 ± 0.014
0.118 0.076 ± 0.016 0.067 ± 0.014
0.128 0.049 ± 0.011 0.043 ± 0.010

Table 14 (Experiment)

V.A. Belyaev, B.G. Brezhnev, E.M. Erastov // Zh.Eksp.Teor.Fiz. 52, 1170 (1967)

E, MeV/amu σ 1,0 , 10 -16 cm 2
3.0e-6 55. ± 5.
4.5e-6 52. ± 8.
9.0e-6 46. ± 5.
15.0e-6 45. ± 3.
20.0e-6 47. ± 4.
25.0e-6 44. ± 3.
30.0e-6 41. ± 3.
40.0e-6 40. ± 2.
45.0e-6 39. ± 3.

Table 15 (Experiment)

A.B.Wittkower, G.Ryding, H.B. Gilbody // Proc. Phys. Soc. v.89 p.541 (1966)

E, MeV/amu σ 1,0 , 10 -16 cm 2
0.040 2.0
0.060 0.68
0.067 0.51 ±0.06
0.070 0.40
0.080 0.27 ±0.08
0.090 0.16
0.100 0.12
0.110 0.070 ±0.027
0.125 0.051
0.150 0.023
0.175 0.013
0.200 0.0072
0.225 0.0043
0.250 0.0019

Table 16 (Theory, Brinkman-Kramers approximation)

K. Fujiwara // J.Phys.Soc.Jap. v.41 p.1350 (1976)

E, MeV/amu σ 1,0 , 10 -16 cm 2
0.04 5.234
0.06 1.789
0.08 0.7449
0.10 0.3519
0.12 0.1821
0.14 0.1010

Table 17 (Theory, continuum distorted-wave (CDW) approximation)

Dz. Belkic, R. Gayet // J.Phys. B v.10 p.1911 (1977)

E, MeV/amu σ 1,0 , 10 -16 cm 2
0.025 6.8
0.030 4.4
0.040 2.1
0.050 1.0
0.070 0.35
0.100 9.5e-2
0.150 1.9e-2
0.200 4.9e-3
0.250 1.8e-3
0.300 7.1e-4
0.400 1.9e-4
0.500 6.5e-5
0.700 1.1e-5
1.000 1.8e-6
1.500 1.7e-7
2.000 3.3e-8
2.500 1.0e-8

Table 18 (Theory, continuum intermediate-state (CIS) approximation)

Dz. Belkic // J.Phys. B v.10 p.3491 (1977)

E, MeV/amu σ 1,0 , π ao2 σ 1,0 , 10 -16 cm 2
0.050 1.34 1.18
0.100 1.26e-1 1.10e-1
0.250 2.73e-3 2.40e-3
0.500 9.51e-5 8.37e-5
0.750 1.16e-5 1.02e-5
1.000 2.51e-6 2.21e-6
2.500 1.59e-8 1.40e-8
5.000 3.13e-10 2.75e-10
7.500 3.09e-11 2.72e-11
10.000 5.96e-12 5.24e-12

Table 19 (Theory,Eikonal approximation )

D.P.Dewangan // J.Phys. B v.10 p.1083 (1977)

E, MeV/amu σ 1,0 , 10 -16 cm 2
0.020 1.6
0.060 0.258
0.100 6.47e-2
0.200 5.48e-3
0.400 2.60e-4
0.500 8.81e-5
0.900 4.32e-6
1.000 2.5e-6
1.500 2.7e-7
2.000 5.6e-8
2.500 1.6e-8

Table 20 (Theory,AO method )

R. Shakeshaft // Phys. Rev. A v.18 p.1930 (1978)

E, MeV/amu σ 1,0 , 10 -16 cm 2
0.015 6.63
0.025 3.76
0.040 1.59
0.050 0.918
0.060 0.553
0.075 0.278
0.145 0.0253
0.200 0.00607

Table 21 (Theory - single-centred expansion method )

J.F. Reading, A.L. Ford, R.L. Becker // J. Phys. B v.14 p.1995 (1981)

E , MeV/amu

σ 1,0 , 10 -16 cm 2
0.015 6.3
0.030 2.8
0.060 0.5
0.100 0.094

Table 22 (Experiment)

P. Hvelplund, A. Andersen // Phys.Scr. v.26 p.375 (1982)

E , MeV/amu

σ 1,0 , 10 -16 cm 2
0.25 (1.65 ± 0.25) e-3
0.40 (1.55 ± 0.28) e-4
0.50 (5.45 ± 1.00) e-5
0.60 (1.87 ± 0.36) e-5

Table 23 (Theory, AO method)

K. Fujiwara, N.Toshima // J.Phys.Soc.Jap. v.52 p.4118 (1983)

E, MeV/amu σ 1,0 , 10 -16 cm 2
0.10 0.120
0.30 1.88e-3
1.0 5.64e-6
2.0 1.30e-7
4.0 2.49e-9
5.625 3.42e-10

Table 24 (Theory, coupled-state method)

T.G. Winter, C.D. Lin // Phys. Rev. A v.29 p.567 (1984)

E, MeV/amu σ 1,0 , 10 -16 cm 2
0.00156 15.2
0.00300 12.9
0.00516 10.5
0.00800 9.02
0.01111 7.78
0.015 6.31

Table 25 (Theory - Boundary corrected first Born (CB1) approximation)

Dz. Belkic // Phys.Rev. A v.36 p.1601 (1987)

E, MeV/amu σ 1,0 , 10 -16 cm 2
0.020 4.49
0.025 3.11
0.030 2.23
0.040 1.23
0.050 0.730
0.060 0.455
0.070 0.295
0.075 0.241
0.080 0.198
0.090 0.137
0.100 0.0968
0.200 7.25e-3
0.300 1.26e-3
0.400 3.31e-4
0.500 1.12e-4
0.600 4.53e-5
0.700 2.07e-5
0.800 1.03e-5
0.900 5.58e-6
1.000 3.19e-6
1.500 3.55e-7
2.000 7.21e-8
3.500 3.06e-9

Table 26 (Experiment)

M.W. Gealy, B.V. Zyl // Phys.Rev. A v.36 p.3091 (1987)

E, MeV/amu σ 1,0 , 10 -16 cm 2
0.000063 0.334 ± 0.087
0.000088 0.345 ± 0.055
0.000125 0.423 ± 0.072
0.000177 0.537 ± 0.113
0.000250 0.790 ± 0.110
0.000354 1.19 ± 0.17
0.000500 1.92 ± 0.27
0.000707 3.05 ± 0.40
0.001000 4.43 ± 0.62
0.001414 5.86 ± 0.76
0.002000 6.95 ± 0.63

Table 27 (Experiment)

W.Schwab, G.B.Baptista, E.Justiniano, R.Schuch, H.Vogt, E.W. Weber // J.Phys. B v.20 p.2825 (1987)

E, MeV/amu σ 1,0 , 10 -16 cm 2
2.0 (5.25 ± 2.25) e-8
3.5 (2.14 ± 0.20) e-9
5.0 (3.10 ± 0.60) e-10
7.5 (4.10 ± 1.10) e-11

Table 28 (Theory - AO method)

R.Shingal, C.D.Lin // Phys.Rev. A v.40 p.1302 (1989)

E, MeV/amu σ 1,0 , 10 -16 cm 2
0.001 17.18
0.010 8.54
0.025 3.93
0.050 0.73
0.100 0.12
0.125 0.058
0.150 0.032
0.175 0.018
0.200 0.011
0.250 0.0046
0.300 0.0022
0.400 0.0006

Table 29 (Recommended data)

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

E , MeV/amu

σ 1,0 , 10 -16 cm 2
1.2e-7 49.6
2.e-7 47.0
4.e-7 44.5
7.e-7 42.4
1.e-6 41.0
2.e-6 38.3
4.e-6 35.8
7.e-6 33.3
1.e-5 31.7
2.e-5 29.3
4.e-5 27.0
7.e-5 25.4
1.e-4 24.4
2.e-4 22.2
4.e-4 20.3
7.e-4 18.8
0.001 17.1
0.002 14.4
0.004 12.0
0.007 9.42
0.01 7.75
0.02 4.45
0.04 1.67
0.07 0.377
0.1 0.101
0.2 6.09e-3
0.4 1.76e-4
0.63 1.35e-5

Table 30 (Theory - Claccical trajectory Monte Carlo calculations )

A. Schmidt, M. Horbatsch, R.M. Dreizler // J. Phys.B v.23 p.2327S (1990)

E , MeV/amu

σ 1,0 , 10 -16 cm 2
0.01 4.8
0.02 3.6
0.03 2.8
0.05 1.0
0.07 0.33
0.1 0.12
0.2 0.010
0.3 0.0012
0.5 7.6e-5

Table 31 (Theory - Molecular close-coupling method)

C.Harel, H.Jouin, B.Pons // At.Data Nucl.Data Tab. v.68 p.279 (1998)

E , MeV/amu

V, a.u.

σ 1,0 , 10 -16 cm 2
0.0000625 0.05 29.5
0.00025 0.10 22.8
0.00100 0.20 17.3
0.00225 0.30 14.2
0.00400 0.40 11.9
0.00625 0.50 10.3
0.00900 0.60 9.17
0.01225 0.70 7.99
0.01600 0.80 6.77
0.02025 0.90 5.60
0.02500 1.00 4.55

Table 32 (Theory - close-coupling scheme based on an eikonal-distorted-wave expansion. )

N. Toshima, T. Nakagawa // Phys.Rev. A v.60 p.2182 (1999)

E , MeV/amu

σ 1,0 , 10 -16 cm 2
0.01 8.0
0.05 0.56
0.10 0.056
0.15 0.014
0.20 4.7e-3
0.25 1.7e-3
0.30 7.7e-4
0.35 3.7e-4
0.40 2.0e-4

Table 33 (Theory - Atomic orbital method with Sturmian-pseudostate bases )

T.G. Winter // Phys. Rev. A v.80 p.032701 (2009)

E , MeV/amu

σ 1,0 , 10 -16 cm 2
0.0010 17.31
0.001563 15.60
0.0030 13.11
0.0040 11.81
0.00516 10.75
0.008 9.358
0.015 6.732
0.025 3.942
0.050 1.003
0.075 0.303
0.100 0.111