# Differential cross sections for electron capture by protons in hydrogen and helium

## Abstract

The differential cross sections for the capture of electrons by protons are calculated for intermediate and high energies of the colliding particles in hydrogen and helium. The final-state wave function used in the calculations has the correct asymptotic behavior and is an approximate solution of the Faddeev equations, modified to reflect the Coulomb nature of the interaction. The interaction of the captured electron with the residual ion and the interaction of heavy particles with each other are taken into account in the same way. This approach makes it possible to study the effect of the final-state interaction on the behavior of the differential cross sections for charge exchange. The interaction of the heavy particles is shown to result in an increase in the electron capture cross sections at large scattering angles, while the interaction of the electron with the residual ion gives rise to a Thomas peak corresponding to a two-step electron capture mechanism. Methods for calculating the charge-exchange amplitude are discussed. The differential cross sections calculated in various approximations are compared with experimental data.

- Authors:

- Publication Date:

- Research Org.:
- Scientific-Research Institute of Nuclear Physics, Moscow State University

- OSTI Identifier:
- 6480733

- Resource Type:
- Journal Article

- Journal Name:
- Sov. J. Plasma Phys. (Engl. Transl.); (United States)

- Additional Journal Information:
- Journal Volume: 12:11

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS; HELIUM; ION-ATOM COLLISIONS; HYDROGEN; HYDROGEN IONS 1 PLUS; PLASMA; BRINKMAN-KRAMERS APPROXIMATION; CHARGE EXCHANGE; DIFFERENTIAL CROSS SECTIONS; EIKONAL APPROXIMATION; FADDEEV EQUATIONS; HYPERGEOMETRIC FUNCTIONS; IMPULSE APPROXIMATION; SCHROEDINGER EQUATION; WAVE FUNCTIONS; ATOM COLLISIONS; CATIONS; CHARGED PARTICLES; COLLISIONS; CROSS SECTIONS; DIFFERENTIAL EQUATIONS; ELEMENTS; EQUATIONS; FLUIDS; FUNCTIONS; GASES; HYDROGEN IONS; ION COLLISIONS; IONS; NONMETALS; PARTIAL DIFFERENTIAL EQUATIONS; RARE GASES; WAVE EQUATIONS; 640304* - Atomic, Molecular & Chemical Physics- Collision Phenomena

### Citation Formats

```
Godunov, A L, Kunikeev, S D, and Senashenko, V S.
```*Differential cross sections for electron capture by protons in hydrogen and helium*. United States: N. p., 1986.
Web.

```
Godunov, A L, Kunikeev, S D, & Senashenko, V S.
```*Differential cross sections for electron capture by protons in hydrogen and helium*. United States.

```
Godunov, A L, Kunikeev, S D, and Senashenko, V S. 1986.
"Differential cross sections for electron capture by protons in hydrogen and helium". United States.
```

```
@article{osti_6480733,
```

title = {Differential cross sections for electron capture by protons in hydrogen and helium},

author = {Godunov, A L and Kunikeev, S D and Senashenko, V S},

abstractNote = {The differential cross sections for the capture of electrons by protons are calculated for intermediate and high energies of the colliding particles in hydrogen and helium. The final-state wave function used in the calculations has the correct asymptotic behavior and is an approximate solution of the Faddeev equations, modified to reflect the Coulomb nature of the interaction. The interaction of the captured electron with the residual ion and the interaction of heavy particles with each other are taken into account in the same way. This approach makes it possible to study the effect of the final-state interaction on the behavior of the differential cross sections for charge exchange. The interaction of the heavy particles is shown to result in an increase in the electron capture cross sections at large scattering angles, while the interaction of the electron with the residual ion gives rise to a Thomas peak corresponding to a two-step electron capture mechanism. Methods for calculating the charge-exchange amplitude are discussed. The differential cross sections calculated in various approximations are compared with experimental data.},

doi = {},

url = {https://www.osti.gov/biblio/6480733},
journal = {Sov. J. Plasma Phys. (Engl. Transl.); (United States)},

number = ,

volume = 12:11,

place = {United States},

year = {1986},

month = {11}

}