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Title: Charge transfer in proton-hydrogen collisions under Debye plasma

Abstract

The effect of plasma environment on the 1s → nlm charge transfer, for arbitrary n, l, and m, in proton-hydrogen collisions has been investigated within the framework of a distorted wave approximation. The effect of external plasma has been incorporated using Debye screening model of the interacting charge particles. Making use of a simple variationally determined hydrogenic wave function, it has been possible to obtain the scattering amplitude in closed form. A detailed study has been made to investigate the effect of external plasma environment on the differential and total cross sections for electron capture into different angular momentum states for the incident energy in the range of 20–1000 keV. For the unscreened case, our results are in close agreement with some of the most accurate results available in the literature.

Authors:
 [1];  [2];  [1];  [3];  [4];  [5]
  1. Department of Mathematics, Burdwan University, Golapbag, Burdwan 713 104, West Bengal (India)
  2. Centre for Foundation Studies in Science, University of Malaya, 50603 Kuala Lumpur (Malaysia)
  3. (India)
  4. (Malaysia)
  5. Department of Mathematics, Kazi Nazrul University, B.C.W. Campus, Asansol 713 304, West Bengal (India)
Publication Date:
OSTI Identifier:
22408152
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 22; Journal Issue: 2; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ANGULAR MOMENTUM; CHARGE TRANSPORT; COLLISIONS; DEBYE LENGTH; DIFFERENTIAL CROSS SECTIONS; DISTORTED WAVE THEORY; ELECTRON CAPTURE; HYDROGEN; KEV RANGE; PLASMA; PROTONS; SCATTERING AMPLITUDES; TOTAL CROSS SECTIONS; VARIATIONAL METHODS; WAVE FUNCTIONS

Citation Formats

Bhattacharya, Arka, Kamali, M. Z. M., Ghoshal, Arijit, E-mail: arijit98@yahoo.com, Department of Mathematics, Kazi Nazrul University, B.C.W. Campus, Asansol 713 304, West Bengal, Institute of Mathematical Sciences, Faculty of Science, University of Malaya, 50603 Kuala Lumpur, and Ratnavelu, K. Charge transfer in proton-hydrogen collisions under Debye plasma. United States: N. p., 2015. Web. doi:10.1063/1.4913474.
Bhattacharya, Arka, Kamali, M. Z. M., Ghoshal, Arijit, E-mail: arijit98@yahoo.com, Department of Mathematics, Kazi Nazrul University, B.C.W. Campus, Asansol 713 304, West Bengal, Institute of Mathematical Sciences, Faculty of Science, University of Malaya, 50603 Kuala Lumpur, & Ratnavelu, K. Charge transfer in proton-hydrogen collisions under Debye plasma. United States. doi:10.1063/1.4913474.
Bhattacharya, Arka, Kamali, M. Z. M., Ghoshal, Arijit, E-mail: arijit98@yahoo.com, Department of Mathematics, Kazi Nazrul University, B.C.W. Campus, Asansol 713 304, West Bengal, Institute of Mathematical Sciences, Faculty of Science, University of Malaya, 50603 Kuala Lumpur, and Ratnavelu, K. 2015. "Charge transfer in proton-hydrogen collisions under Debye plasma". United States. doi:10.1063/1.4913474.
@article{osti_22408152,
title = {Charge transfer in proton-hydrogen collisions under Debye plasma},
author = {Bhattacharya, Arka and Kamali, M. Z. M. and Ghoshal, Arijit, E-mail: arijit98@yahoo.com and Department of Mathematics, Kazi Nazrul University, B.C.W. Campus, Asansol 713 304, West Bengal and Institute of Mathematical Sciences, Faculty of Science, University of Malaya, 50603 Kuala Lumpur and Ratnavelu, K.},
abstractNote = {The effect of plasma environment on the 1s → nlm charge transfer, for arbitrary n, l, and m, in proton-hydrogen collisions has been investigated within the framework of a distorted wave approximation. The effect of external plasma has been incorporated using Debye screening model of the interacting charge particles. Making use of a simple variationally determined hydrogenic wave function, it has been possible to obtain the scattering amplitude in closed form. A detailed study has been made to investigate the effect of external plasma environment on the differential and total cross sections for electron capture into different angular momentum states for the incident energy in the range of 20–1000 keV. For the unscreened case, our results are in close agreement with some of the most accurate results available in the literature.},
doi = {10.1063/1.4913474},
journal = {Physics of Plasmas},
number = 2,
volume = 22,
place = {United States},
year = 2015,
month = 2
}
  • The charge transfer and ionization cross sections have been calculated for He-like system (Li{sup +}, Be{sup 2+}, B{sup 3+}, C{sup 4+}, N{sup 5+}, O{sup 6+}) and hydrogen atom collisions in Debye plasmas for energies ranging from 1 to 500 keV using the classical trajectory Monte Carlo method. Interactions of the active electrons with the projectile ions have been described by model potentials. Cross sections are determined in both screening and unscreening environments, and a comparative study between both environments has been carried out. In particular, an interesting feature of sudden increase in the ionization cross sections at lower velocities ismore » also observed in all the systems like pandey et al.[M. K. Pandey et al., Phys. Plasmas 19, 062104 (2012)] calculations for O{sup 8+}+ H collision. The feature of sudden increase in ionization cross sections at lower velocities and the effect of plasmas condition on it are explained in terms of the classical trajectory framework. We have found the cross sections for both capture and ionization are dependence on Debye screening lengths throughout the collision energies range, but are particularly pronounced at low projectile collisions energies. The calculated cross sections for the unscreened case are found in reasonable agreement with available experimental and theoretical results.« less
  • Charge transfer in collisions of {alpha} particles with ground-state H embedded in a Debye plasma is studied in the low-energy region from 10{sup -4} eV to 5 keV. The screened Coulomb interaction is described by the Debye-Hueckel potential. The relevant molecular potentials and coupling matrix elements are obtained using a modified multireference single-and double-excitation configuration interaction package. Total and state-selective cross sections in the nonradiative charge-transfer collisions from 60 eV to 5 keV are calculated using the quantum-mechanical molecular-orbital close-coupling method. Both optical-potential and semiclassical methods have been used in the investigation of the radiative charge transfer from 10{sup -4}more » to 1 eV and 1 to 10{sup 2} eV, respectively. The total cross sections for the no-screening case are in good agreement with the existing data. The effects of the screened Coulomb potential on the electron-capture cross sections are discussed.« less
  • The s-p coherence parameters characterizing excited n=2-4 hydrogen atoms produced in 25-200 keV proton collisions with atomic hydrogen and helium are investigated using the classical trajectory Monte Carlo method. Coherence parameters for the electric dipole moment of the charge distribution z, the Runge-Lenz component z, and the first-order moment of the current distribution z are compared with available experimental data. These same parameters are also evaluated as a function of projectile scattering angle and display large variation`s at small angles.
  • A three-dimensional lattice solution of the time-dependent Schr{umlt o}dinger equation for low quantum states (n{le}3) is combined with classical trajectory Monte Carlo results for high quantum states (n{ge}4) to predict total electron loss and total charge-transfer cross sections for proton collisions with atomic hydrogen at intermediate energies. The total charge-transfer cross sections range from 5{percent} above to 10{percent} below the furnace target measurements of McClure [Phys. Rev. {bold 148}, 47 (1966)], while the total electron-loss cross sections range from 5{percent} to 15{percent} above the pulsed crossed-beams measurements of Shah, Elliot, and Gilbody [J. Phys. B {bold 20}, 3501 (1987)]. Themore » calculation of ionization as a difference between electron loss and charge transfer leads to theoretical ionization cross sections that are 10{percent} to 35{percent} larger than the crossed-beams measurements of Shah and Gilbody [J. Phys. B {bold 14}, 2361 (1981)] and Shah, Elliott, and Gilbody [J. Phys. B {bold 20}, 2481 (1987)]. {copyright} {ital 1999} {ital The American Physical Society}« less
  • Excitation and charge transfer cross sections for collisions of protons with hydrogen are calculated by direct solution of the time-dependent Schr{umlt o}dinger equation on a three-dimensional Cartesian lattice. The 2s, 2p, 3s, 3p, and 3d excitation cross sections and the 1s, 2s, 2p, 3s, 3p, and 3d charge transfer cross sections from the 1s ground state at 10-, 40-, and 100-keV incident proton energy are found by projecting a time-evolved wave function onto the lattice target states of hydrogen. Excitation processes are calculated in the rest frame of the hydrogen atom, while capture processes are calculated in the rest framemore » of the proton. The computed excitation and charge transfer cross sections are in good agreement with recent experiments and other theoretical results based on coupled-channels methods. {copyright} {ital 1998} {ital The American Physical Society}« less