Charge-Changing Cross Sections

E, MeV/amu	σ_1,0, 10^-16 cm²
0.0002	0.024
0.0004	0.022
0.0006	0.025
0.0008	0.030
0.001	0.050
0.002	0.10
0.003	0.15
0.004	0.195
0.005	0.260
0.007	0.56
0.009	0.80
0.011	1.05
0.013	1.40
0.015	1.75
0.020	1.92
0.025	1.95
0.030	1.90
0.035	1.75
0.040	1.6
0.045	1.45
0.050	1.18
0.060	0.97
0.070	0.63
0.080	0.49
0.090	0.38
0.100	0.30
0.150	0.093
0.200	0.036
0.250	0.016
0.300	0.0070
0.350	0.0038
0.400	0.0020
0.450	0.0011
0.500	0.00068
0.600	0.00030
0.700	0.00018
0.800	0.000085
0.900	0.000068
1.00	0.000052

Table 2 (Theory, Born approximation)

R. A. Mapleton // Phys. Rev. v.122 p.528 (1961)

E, MeV/amu	σ_1,0, π a₀²	σ_1,0, 10^-16 cm²
0.0125	0.845 ± 0.040	0.743 ± 0.035
0.0222	0.455 ± 0.031	0.400 ± 0.027
0.0395	0.207 ± 0.012	0.182 ± 0.011
0.0703	0.0727 ± 0.0022	0.0639 ± 0.0019
0.125	0.0179 ± 0.0005	0.0157 ± 0.0004
0.222	(2.97 ± 0.22)e-3	(2.61 ± 0.19)e-3
0.395	(3.34 ± 0.32)e-4	(2.93 ± 0.28)e-4
0.703	(2.63 ± 0.18)e-5	(2.31 ± 0.16)e-5
1.0	(4.83 ± 0.15)e-6	(4.24 ± 0.13)e-6

Table 3 (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 cm²
0.025	4.9	4.31
0.050	1.7	1.50
0.100	0.33	0.290
0.150	0.096	0.0845
0.200	0.032	0.0282
0.400	2.2e-3	1.94e-3
0.600	2.8e-4	2.46e-4
0.800	7.4e-5	6.51e-5
1.0	2.3e-5	2.02e-5

Table 4 (Theory - OBK)

V.S. Nikolaev //Zh.Eksp.Teor.Fiz. 51, 1263 (1966)

E, MeV/amu	V, 10⁸ cm/s	σ_1,0, 10^-16 cm²
0.0209	2.0	1.6
0.0470	3.0	1.0
0.0836	4.0	0.46
0.131	5.0	0.13
0.188	6.0	0.043
0.256	7.0	0.015
0.334	8.0	4.6e-3
0.423	9.0	1.6e-3
0.522	10.0	6.8e-4
2.089	20.0	3.7e-7
4.700	30.0	4.3e-9
8.355	40.0	1.8e-10
13.055	50.0	1.4e-11

Table 5 (Experiment)

J.F. Williams, D.N. Dunbar // Phys. Rev. v.149 p.62 (1966)

E , MeV/amu	σ_1,0, 10^-16 cm²
0.002	0.084
0.003	0.12
0.004	0.14
0.006	0.37
0.008	0.66
0.010	0.94
0.015	1.6
0.018	1.9
0.020	2.0
0.022	1.9
0.025	1.9
0.030	1.8
0.035	1.8
0.040	1.7
0.045	1.4
0.050	1.2

Table 6 (Experiment)

U. Schryber // Helv. Phys. Acta v.40 p.1023 (1967)

E , MeV/amu	σ_1,0, 10^-16 cm²
1.04	(2.7 ± 0.3)e-5
1.43	(5.7 ± 0.6)e-6
2.05	(9.1 ± 0.9)e-7
2.56	(2.6 ± 0.3)e-7
3.28	(7.9 ± 0.3)e-8
4.37	(1.7 ± 0.2)e-8

Table 7 (Experiment)

L.M.Welsh, K.H.Berkner, S.N.Kaplan, R.V.Pyle // Phys.Rev. v.158 p.85 (1967)

E , MeV/amu	σ_1,0, 10^-16 cm²
0.440	(1.6 ± 0.2) e-3
0.654	(2.9 ± 0.4) e-4
0.851	(8.3 ± 1.0) e-5
1.063	(2.9 ± 0.4) e-5
2.45	(3.2 ± 0.4) e-7
2.99	(1.2 ± 0.1) e-7
5.41	(5.4 ± 0.6) e-9

Table 8 (Experiment)

J.F. Williams // Phys. Rev. v.157 p.97 (1967)

E , MeV/amu	σ_1,0, 10^-16 cm²
0.35	3.2e-3
0.4	1.4e-3
0.5	1.0e-3
0.6	5.3e-4
0.7	3.2e-4
0.8	1.4e-4
1.0	4.8e-5
1.25	1.5e-5
1.50	5.3e-6
1.75	1.7e-6
2.0	5.9e-7
2.4	(2.6 ±1.0)e-7

Table 9 (Experiment)

L.H. Toburen, M.Y. Nakai, R.A. Langley // Phys. Rev. v.171 p.114 (1968)

L.H. Toburen, M.Y. Nakai, R.A. Langley // ORNL-TM-1988

E, MeV/amu	σ_1,0, 10^-16 cm²
0.1	0.298
0.3	8.17e-3
0.55	6.41e-4
0.80	1.17e-4
1.00	3.87e-5
1.25	1.17e-5
1.50	5.26e-6
1.75	2.15e-6
2.00	1.17e-6

Not indicated error does not exceed 10 %

Table 10 (Experiment)

V.V. Afrosimov, Yu.A. Mamaev, M.N.Panov, N.V.Fedorenko // Zh.Tech.Fiz., v.56, p.159 (1969)

E , MeV/amu	σ_1,0, 10^-16 cm²
0.005	0.35
0.0075	0.54
0.010	0.75
0.0115	1.05
0.013	1.3
0.015	1.5
0.017	1.6
0.0185	1.8
0.020	1.9
0.0225	2.01
0.025	2.02
0.0275	1.92
0.030	1.82
0.035	1.62
0.040	1.52
0.045	1.22
0.050	1.07

Error does not exceed 15 %

Table 11 (Experiment)

Z.Z. Latypov, A.A. Shaporenko // Zh. Tech.Fiz. 46, 1924, (1976)

A.A. Shaporenko // Thesis, FTI, Leningrad (1976)

E, MeV/amu	σ_1,0, 10^-16 cm²
0.000150	(1.2 ± 1.0)e-5
0.000175	(3.0 ± 1.6)e-5
0.00020	(4.7 ± 1.5)e-5
0.00025	(5.6 ± 1.4)e-5
0.00030	(1.2 ± 0.3)e-4
0.00035	(1.5 ± 0.3)e-4
0.00040	(2.0 ± 0.3)e-4
0.00045	(2.4 ± 0.2)e-4
0.00050	(3.4 ± 0.3)e-4
0.00055	(5.0 ± 0.7)e-4
0.00060	(7.6 ± 0.9)e-4
0.00065	0.0010 ± 0.0001
0.00070	0.0015 ± 0.0002
0.00075	0.0024 ± 0.0002
0.00080	0.0036 ± 0.0006
0.00085	0.0050 ± 0.0011
0.00090	0.0075 ± 0.0015
0.00095	0.010 ± 0.002
0.00105	0.014 ± 0.003
0.00115	0.018 ± 0.003
0.00120	0.019 ± 0.003
0.00125	0.023 ± 0.004
0.00130	0.024 ± 0.004
0.00135	0.025 ± 0.003
0.00140	0.030 ± 0.003
0.00145	0.034 ± 0.002
0.00150	0.040 ± 0.005

Table 12 (Theory - First Born approximation with correct boundary conditions (B1B))

K.Omidvar, J.E.Golden,J.H.McGuire, L.Weaver // Phys.Rev.A v.13 p.500 (1976)

E , MeV/amu	σ_1,0, 10^-16 cm²
0.020	2.6
0.030	1.8
0.050	0.9
0.070	0.5
0.100	0.25
0.200	0.035
0.300	0.010
0.500	1.2e-3
0.700	2.6e-4
1.000	4.5e-5

Table 13 (Theory - OBK approximation)

K.Omidvar, J.E.Golden,J.H.McGuire, L.Weaver // Phys.Rev.A v.13 p.500 (1976)

E , MeV/amu	σ_1,0, 10^-16 cm²
0.020	22.
0.030	14.
0.050	6.1
0.070	2.9
0.100	1.2
0.200	0.15
0.300	0.035
0.500	3.7e-3
0.700	6.4e-4
1.000	1.4e-4

Table 14 (Theory - Continuum distorted-wave approximation)

Dz. Belkic, R. Gayet // J.Phys. B v.10 p.1923 (1977)

E , MeV/amu	σ_1,0, 10^-16 cm²
0.030	6.2
0.050	2.2
0.100	0.27
0.250	0.013
0.500	1.1e-3
0.700	2.6e-4
1.000	2.9e-5
2.500	2.6e-7
5.00	6.0e-9
10.0	1.2e-10

Table 15 (Experiment)

P.J.Martin, K.Arnett, D.M.Blankenship, T.J.Kvale, J.L.Peacher, E.Redd, V.C. Sutcliffe, J.T.Park, C.D.Lin, J.H.McGuire, Y.D. Wang // Phys.Rev. A v.23 p.2858 (1981)

E , MeV/amu	σ_1,0, 10^-16 cm²
0.025	2.1
0.030	1.9
0.050	1.0
0.100	0.30

Table 16 (Theory - Eikonal approximation )

P.J.Martin, K.Arnett, D.M.Blankenship, T.J.Kvale, J.L.Peacher, E.Redd, V.C. Sutcliffe, J.T.Park, C.D.Lin, J.H.McGuire, Y.D. Wang // Phys.Rev. A v.23 p.2858 (1981)

E , MeV/amu	σ_1,0, 10^-16 cm²
0.025	1.4
0.030	1.3
0.050	0.83
0.100	0.26

Table 17 (Theory - Variational method with atomic orbitals)

K.B. Choudhury // Indian J. Phys.B v.57 p.281 (1983)

E , MeV/amu	σ_1,0, 10^-16 cm²
0.0302	1.84
0.100	0.226
0.293	0.0111
0.400	3.59e-3
1.0	7.84e-5

Table 18 (Experiment)

M.E.Rudd, R.D. DuBois, L.H. Toburen, C.A. Ratcliffe, T.V.Goffe // Phys. Rev. A v.28 p.3244 (1983)

E , MeV/amu	σ_1,0, 10^-16 cm²
0.005	0.372 ± 0.093
0.007	0.692 ± 0.173
0.010	1.23 ± 0.31
0.015	1.93 ± 0.48
0.020	2.18 ± 0.55
0.030	1.97 ± 0.49
0.050	1.19 ± 0.36
0.070	0.675 ± 0.203
0.100	0.287 ± 0.172
0.150	0.083 ± 0.050

Table 19 (Theory, Unitarized distorted-wave approximation)

H.Suzuki, Y. Kajikawa, N. Toshima, H. Ryufuku, T. Watanabe // Phys.Rev. A v.29 p.525 (1984)

E , MeV/amu	σ_1,0, 10^-16 cm²
0.005	5.2
0.010	5.7
0.020	3.7
0.050	1.5
0.100	0.41
0.200	0.049
0.500	0.0012
1.00	4.3e-5

Table 20 (Theory - distorted wave approximation)

K. Kobayashi, N. Toshima, T. Ishihara // Phys.Rev. A v.32 p.1363 (1985)

E, MeV/amu	σ_1,0, 10^-16 cm²
0.050	0.25
0.10	0.12
0.20	0.023
0.40	2.0e-3
0.60	7.8e-4
0.80	1.1e-4
1.2	1.8e-5
1.6	4.3e-6
2.0	1.3e-6
2.4	5.0e-7
4.0	8.0e-8
6.0	3.5e-9
8.0	6.5e-10
10.0	1.3e-10

Table 21 (Experiment)

M.B.Shah, H.B.Gilbody // J.Phys. B v.18 p.899 (1985)

E, MeV/amu	σ_1,0, 10^-16 cm²
0.08	0.478 ± 0.024
0.10	0.280 ± 0.011
0.13	0.144 ± 0.020
0.16	0.0775 ± 0.0012
0.20	0.0375 ± 0.0005
0.26	0.0145 ± 0.0003
0.32	0.00642 ± 0.00010
0.40	0.00229 ± 0.00011
0.50	0.00084 ± 0.00003
0.64	0.000274 ± 0.000025
0.80	0.000093 ± 0.000012

Table 22 (Theory - CTMC method )

S.L. Willis, G. Peach, M.R. C. McDowell, J. Banerji // J. Phys. B v.18 p.3939 (1985)

E , MeV/amu	σ_1,0, π a₀²	σ_1,0, 10^-16 cm²
0.020	1.26	1.11
0.050	0.95	0.84
0.075	0.66	0.58
0.100	0.41	0.36
0.125	0.24	0.21
0.150	0.110	0097

Table 23 (Theory - OBK)

Yu.A.Shurygina, V.S.Senashenko, Ya.A. Teplova //Zh.Tech.Fiz. 56, 1513 (1986)

E, MeV/amu	σ_1,0, 10^-16 cm²
0.0175	3.2
0.020	3.1
0.025	2.9
0.030	2.6
0.040	2.0
0.050	1.6
0.060	1.3
0.070	1.0
0.080	0.69
0.10	0.40
0.15	0.13
0.20	0.052
0.25	0.022
0.30	0.010
0.40	0.0032
0.50	0.0013

Table 24 (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 cm²
2.0	(1.00 ± 0.07) e-6
3.5	(5.10 ± 0.30) e-8
5.0	(6.40 ± 0.40) e-9
7.5	(5.30 ± 0.70) e-10

Table 25 (Theory - B1B approximation.)

N. Toshima, T. Ishihara, J. Eichler // Phys.Rev. A v.36 p.2659 (1987)

E, MeV/amu	σ_1,0, 10^-16 cm²
0.030	1.0
0.10	0.22
0.20	0.036
0.40	3.1e-3
0.60	5.5e-4
0.80	1.4e-4
1.2	2.2e-5
1.6	5.0e-6
2.0	1.6e-6
2.4	5.7e-7
4.0	3.5e-8
6.0	3.5e-9
8.0	7.0e-10
10.0	1.8e-10

Table 26 (Experiment)

M.B.Shah,P.McCallion, H.B.Gilbody // J.Phys. B v.22 p.3037 (1989)

E, MeV/amu	σ_1,0, 10^-16 cm²
0.011	1.13 ± 0.06
0.013	1.42 ± 0.07
0.016	1.58 ± 0.07
0.019	1.69 ± 0.08
0.023	1.85 ± 0.08
0.028	1.71 ± 0.08
0.034	1.44 ± 0.07
0.040	1.28 ± 0.06
0.048	1.01 ± 0.05
0.058	0.80 ± 0.05
0.070	0.595 ± 0.031
0.084	0.400 ± 0.019
0.100	0.274 ± 0.014

Table 27 (Recommended data)

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

E , MeV/amu	σ_1,0, 10^-16 cm²
9.9e-5	4.28e-6
2.e-4	2.46e-5
4.e-4	1.77e-4
7.e-4	1.12e-3
0.001	4.73e-3
0.002	0.0425
0.004	0.198
0.007	0.518
0.01	0.852
0.02	1.75
0.024	1.83
0.04	1.41
0.07	0.698
0.1	0.338
0.2	0.0395
0.4	3.22e-3
0.7	3.07e-4
1.0	5.42e-5
2.0	1.42e-6
4.0	3.29e-8
7.0	1.62e-9
10.0	2.09e-10
11.0	1.02e-10

Table 28 (Theory, coupled-state calculations employ Sturmian basis functions)

T.G. Winter // Phys. Rev. A v.44 p.4353 (1991)

E , MeV/amu	σ_1,0, 10^-16 cm²
0.05	1.58
0.10	0.383
0.20	0.0382

Table 29 (Experiment)

V.S. Nikolaev, I.S. Dmitriev, Ya. A. Teplova,Yu.A. Fainberg // Vestnik MGU Ser. Phys.Astron. N3, 84 (1994); Moscow University Physics Bulletin 49, 80 (1994)

E , MeV/amu	V, 10⁸ cm/s	σ_1,0, 10^-16 cm²
0.300	7.58	0.0085 ± 0.0015
0.700	11.58	0.00022 ± 0.00004

Table 30 (Theory - CDW-EIS model)

H.F. Busnengo, A. E. Martinez, R.D. Rivarola // J. Phys.B v.29 p.4193 (1996)

E , MeV/amu	σ_1,0, 10^-16 cm²
0.03	1.7
0.05	1.0
0.07	0.51
0.1	0.21
0.2	0.026
0.3	0.0063
0.5	6.6e-4
0.8	1.0e-4

Table 31 (Theory. PWFBA)

S. Houamer, Yu.V. Popov, C.Dal Cappello // Phys. Let. A v.373 p.4442 (2009)

E , MeV/amu	σ_1,0, 10^-16 cm²
0.1	2.13e-1
0.6	3.70e-4
1.1	2.24e-5
1.6	3.50e-6
2.1	8.25e-7
2.6	2.74e-7
3.1	1.10e-7

H⁺ + He → H^-

Table 32 (Experiment)

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

E, MeV/amu	σ_1,-1, 10^-16 cm²
0.009	0.013
0.011	0.013
0.013	0.014
0.015	0.014
0.020	0.012
0.025	0.012
0.030	0.010

Table 33 (Experiment)

Ya.M. Fogel // Thesis, FTI, Academy of Science of the Ukraine SSR, Kharkov (1961)

Ya.M. Fogel, L.I.Krupnik, B.G.Safronov // Zh.Eksp.Teor.Fiz.v.28 p.590 (1955); JETP V.1, p.415, (1955)

Ya.M. Fogel, R.V. Mitin // Zh.Eksp.Teor.Fiz.v.30 p.450 (1956); JETP V.3, p.334, (1956)

Ya.M. Fogel, V.A. Ankundinov, D.V.Pilipenko, N.V. Topolia // Zh.Eksp.Teor.Fiz.v.34 p.579 (1958); JETP V.7, p. 400, (1958)

E, MeV/amu	σ_1,-1, 10^-16 cm²
0.006	0.07e-2
0.008	0.13e-2
0.010	0.12e-2
0.015	0.20e-2
0.020	0.33e-2
0.025	0.57e-2
0.030	0.65e-2
0.035	0.73e-2
0.040	0.70e-2
0.050	0.48e-2
0.055	0.31e-2
0.060	0.16e-2

Table 34 (Experiment)

J.F. Williams // Phys. Rev. v.150 p.7 (1966)

E , MeV/amu	σ_1,-1, 10^-16 cm²
0.002	0.00024 ± 0.00010
0.003	0.00023
0.004	0.00042
0.006	0.00045
0.008	0.00077
0.010	0.00103
0.015	0.0020 ± 0.0003
0.018	0.0026
0.020	0.0033
0.022	0.0046
0.025	0.0060
0.030	0.0068
0.035	0.0077 ± 0.0006
0.040	0.0070
0.045	0.0066
0.050	0.0046 ± 0.0005

Table 35 (Experiment)

U. Schryber // Helv. Phys. Acta v.40 p.1023 (1967)

E , MeV/amu	σ_1,-1, 10^-16 cm²
0.253	(1.8 ± 0.2)e-6
0.333	(3.1 ± 0.3)e-7
0.455	(3.0 ± 0.3)e-8
0.585	(1.7 ± 0.5)e-9
0.749	(1.4 ± 0.4)e-10

Table 36 (Experiment)

V.V. Afrosimov, Yu.A. Mamaev, M.N.Panov, N.V.Fedorenko // Zh.Tech.Fiz., v.56, p.159 (1969)

E , MeV/amu	σ_1,-1, 10^-16 cm²
0.020	1.0e-3
0.030	4.1e-3
0.040	4.8e-3
0.050	2.7e-3

Error does not exceed 15 %

Table 37 (Experiment)

L.H. Toburen, M.Y. Nakai // Phys. Rev. v.177 p.191 (1969)

E, MeV/amu	σ_1,-1, 10^-16 cm²
0.075	(9.27 ± 0.75)e-4
0.100	(3.29 ± 0.26)e-4
0.125	(1.02 ± 0.08)e-4
0.150	(3.80 ± 0.45)e-5
0.175	(1.49 ± 0.25)e-5
0.200	(7.12 ± 1.18)e-6

Table 38 (Theory - AO method)

C.D.Lin // Phys. Rev. A v.19 p.1510 (1979)

E , MeV/amu	σ_1,-1, 10^-16 cm²
0.02	6.6e-4
0.04	1.6e-3
0.06	1.3e-3
0.08	8.0e-4
0.1	5.1e-4
0.12	3.0e-4
0.14	1.9e-4
0.16	1.0e-4
0.18	5.9e-5
0.2	4.0e-5

Table 39 (Experiment)

D.P.Almeida, N.V. de Castro Faria, F.L. Freire, E.C.Montenegro, A.G. de Pinho // Phys. Rev. A v.36 p.16 (1987)

E, MeV/amu	σ_1,-1, 10^-16 cm²
0.3	(7.0 ± 1.5)e-7
0.4	(6.5 ± 1.3)e-8
0.5	(8.6 ± 1.5)e-9
0.6	(1.5 ± 0.2)e-9
0.7	(2.9 ± 0.4)e-10
0.8	(1.5 ± 0.2)e-10
1.0	(2.0 ± 0.4)e-11

Table 40 (Recommended data)

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

E , MeV/amu	σ_1,-1, 10^-16 cm²
4.7e-4	2.70e-6
7.e-4	5.75e-6
0.001	1.12e-5
0.002	4.20e-5
0.004	1.78e-4
0.007	5.08e-4
0.01	1.06e-3
0.02	3.75e-3
0.032	7.08e-3
0.04	6.42e-3
0.07	1.73e-3
0.1	3.76e-4
0.2	9.67e-6
0.4	7.64e-8
0.7	9.68e-10
1.0	3.76e-11