An investigation of resonances in e{sup +}H scattering embedded in Debye plasma
Abstract
We carry out calculations for Swave and Pwave 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 complexscaling method with Hylleraastype basis set to take correlation effects into account. In the complexscaling 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, ZongChao, 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, ZongChao, & 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, ZongChao, 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, ZongChao and Ho, Yew Kam},
abstractNote = {We carry out calculations for Swave and Pwave 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 complexscaling method with Hylleraastype basis set to take correlation effects into account. In the complexscaling 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}
}

We have made an attempt to investigate atomic resonances in various Debye plasma environments. The 2s{sup 2} {sup 1}S{sup e} autoionization resonance for a twoelectron system H{sup } is determined by calculating the density of resonance states using the stabilization method. Highly correlated Hylleraastype wave functions are used to represent the correlation effects between the three charged particles. The calculated resonance energies and widths for the various Debye parameters ranging from infinity to a small value are reported.

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