# An investigation of resonances in e{sup +}-H scattering embedded in Debye plasma

## Abstract

We carry out calculations for S-wave and P-wave resonances in e{sup +}-H scattering in weakly coupled Debye plasma in which the interaction between two charged particles is represented by a screened Coulomb potential. We employ the complex-scaling method with Hylleraas-type basis set to take correlation effects into account. In the complex-scaling treatment of the screened Coulomb potential, we first perform a Taylor series expansion for the exponential function that contains the distance r between two particles into a polynomial with various powers r{sup n}. We then make the complex scaling transformation of r→r e{sup iθ} in the expansion. The complex resonant eigenvalues are obtained by searching for stabilized points in the complex energy plane with respect to the changes of rotational angle θ and other parameters in the basis set.

- Authors:

- Department of Physics, University of New Brunswick, Fredericton, New Brunswick E3B 5A3 (Canada)
- Institute of Atomic and Molecular Sciences, Academia Sinica, Taipei, Taiwan (China)

- Publication Date:

- OSTI Identifier:
- 22408027

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physics of Plasmas; Journal Volume: 22; Journal Issue: 1; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; CHARGED PARTICLES; COULOMB FIELD; DEBYE LENGTH; DISTANCE; EIGENVALUES; HYDROGEN; P WAVES; PLASMA; POLYNOMIALS; POSITRONS; RESONANCE; S WAVES; SCALING; SCATTERING; SERIES EXPANSION; TRANSFORMATIONS

### Citation Formats

```
Ning, Ye, Yan, Zong-Chao, and Ho, Yew Kam.
```*An investigation of resonances in e{sup +}-H scattering embedded in Debye plasma*. United States: N. p., 2015.
Web. doi:10.1063/1.4906363.

```
Ning, Ye, Yan, Zong-Chao, & Ho, Yew Kam.
```*An investigation of resonances in e{sup +}-H scattering embedded in Debye plasma*. United States. doi:10.1063/1.4906363.

```
Ning, Ye, Yan, Zong-Chao, and Ho, Yew Kam. Thu .
"An investigation of resonances in e{sup +}-H scattering embedded in Debye plasma". United States.
doi:10.1063/1.4906363.
```

```
@article{osti_22408027,
```

title = {An investigation of resonances in e{sup +}-H scattering embedded in Debye plasma},

author = {Ning, Ye and Yan, Zong-Chao and Ho, Yew Kam},

abstractNote = {We carry out calculations for S-wave and P-wave resonances in e{sup +}-H scattering in weakly coupled Debye plasma in which the interaction between two charged particles is represented by a screened Coulomb potential. We employ the complex-scaling method with Hylleraas-type basis set to take correlation effects into account. In the complex-scaling treatment of the screened Coulomb potential, we first perform a Taylor series expansion for the exponential function that contains the distance r between two particles into a polynomial with various powers r{sup n}. We then make the complex scaling transformation of r→r e{sup iθ} in the expansion. The complex resonant eigenvalues are obtained by searching for stabilized points in the complex energy plane with respect to the changes of rotational angle θ and other parameters in the basis set.},

doi = {10.1063/1.4906363},

journal = {Physics of Plasmas},

number = 1,

volume = 22,

place = {United States},

year = {Thu Jan 15 00:00:00 EST 2015},

month = {Thu Jan 15 00:00:00 EST 2015}

}