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Title: 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:
;  [1];  [2]
  1. Department of Physics, University of New Brunswick, Fredericton, New Brunswick E3B 5A3 (Canada)
  2. 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}
}
  • 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 two-electron system H{sup -} is determined by calculating the density of resonance states using the stabilization method. Highly correlated Hylleraas-type 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.
  • The 29-state [ital R]-matrix calculations in which physical target states of helium with [ital n]=1, 2, 3, 4, and 5 are included in the total scattering wave functions have been employed by Fon, Lim, and Sawey [J. Phys. B 26, 305 (1993)] to obtain the cross sections for the electron-impact excitations of the 2 [sup 3,1][ital S] states of helium. The same [ital R]-matrix calculations are now extended to obtain integral and differential cross sections of 1 [sup 1][ital S]--3 [sup 3,1][ital S] and 1 [sup 1][ital S]--4 [sup 3,1][ital S] transitions. The calculations are performed at 400 energies rangingmore » from the thresholds to 24.1 eV. The results, together with those of Fon, Lim, and Sawey for [ital n]=2 excitation, are used to analyze the experiments of Allan [J. Phys. B 25, 1559 (1992)]; his interpretation of the decay of the doubly excited Wannier-ridge resonances is reexamined.« less
  • In this work, we perform a study on high-lying S-wave resonances in Ps-H scattering below the e{sup +}-H{sup -} threshold. The method of complex-coordinate rotation is applied together with highly correlated wave functions containing all six interparticle distances. Using such Hylleraas bases up to 6412 terms, the energy positions up to the 8S state and the widths up to the 7S state in the Rydberg series converging to the H{sup -} threshold are determined. The energies of 4S to 7S states from the present calculations are fitted into the quantum defect formula, from which the energies of higher members inmore » the Rydberg series can be deduced.« less
  • A recently proposed anomaly-free averaged Kohn parameter-variation method has been used for calculations of the two lowest $sup 1$S resonances in e$sup -$H scattering. Calculated phase shifts at a number of points spanning each resonance can be fitted rather closely with a one-level resonance formula, and the resulting widths are in reasonable agreement with results of other workers. (AIP)