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Title: Non-partial-wave Coulomb-Born theory for the excitation of many-electron atomic ions

Abstract

A formal theory for the evaluation of the cross section for the excitation of many-electron atomic ion within the framework of the Coulomb-Born approximation is formulated in non-partial-wave version, in which the multiple expansion of the transition matrix element is decomposed into two parts: the target form factor and the projectile distortion form factor. These are the matrix elements of the tensor operators between quantum states, so that any complicated wave function for the target ion can be employed. Thus it becomes possible to apply Coulomb-Born theory to treat the excitation of many-electron atomic ions for impact by charged particles, especially heavy particles. As an illustration, the 1s-2s and 1s-2p excitation cross sections of hydrogenlike ions by electron impact are calculated for a wide range of energies using the Coulomb-Born formal analysis. {copyright} {ital 1997} {ital The American Physical Society}

Authors:
 [1];  [2];  [3];  [4]
  1. Laboratory for Plasma Astrophysics and Fusion Science, Toyama University, Toyama 930 (Japan)
  2. Department of Physics, Toyama University, Toyama 930 (Japan)
  3. Laboratory of Atoms and Radiations, Liaoning University, Shenyang 110036 (China)
  4. National Institute for Fusion Science, 322-6, Oroshi-cho, Toki 509-52 (Japan)
Publication Date:
OSTI Identifier:
538519
Resource Type:
Journal Article
Journal Name:
Physical Review A
Additional Journal Information:
Journal Volume: 56; Journal Issue: 3; Other Information: PBD: Sep 1997
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; ELECTRON-ION COLLISIONS; BORN APPROXIMATION; EXCITATION; ATOMIC IONS; CATIONS; EXCITED STATES; PARTIAL WAVES; WAVE FUNCTIONS

Citation Formats

Duan, Y, Wang, L, Qian, W, and Kawamura, T. Non-partial-wave Coulomb-Born theory for the excitation of many-electron atomic ions. United States: N. p., 1997. Web. doi:10.1103/PhysRevA.56.2431.
Duan, Y, Wang, L, Qian, W, & Kawamura, T. Non-partial-wave Coulomb-Born theory for the excitation of many-electron atomic ions. United States. doi:10.1103/PhysRevA.56.2431.
Duan, Y, Wang, L, Qian, W, and Kawamura, T. Mon . "Non-partial-wave Coulomb-Born theory for the excitation of many-electron atomic ions". United States. doi:10.1103/PhysRevA.56.2431.
@article{osti_538519,
title = {Non-partial-wave Coulomb-Born theory for the excitation of many-electron atomic ions},
author = {Duan, Y and Wang, L and Qian, W and Kawamura, T},
abstractNote = {A formal theory for the evaluation of the cross section for the excitation of many-electron atomic ion within the framework of the Coulomb-Born approximation is formulated in non-partial-wave version, in which the multiple expansion of the transition matrix element is decomposed into two parts: the target form factor and the projectile distortion form factor. These are the matrix elements of the tensor operators between quantum states, so that any complicated wave function for the target ion can be employed. Thus it becomes possible to apply Coulomb-Born theory to treat the excitation of many-electron atomic ions for impact by charged particles, especially heavy particles. As an illustration, the 1s-2s and 1s-2p excitation cross sections of hydrogenlike ions by electron impact are calculated for a wide range of energies using the Coulomb-Born formal analysis. {copyright} {ital 1997} {ital The American Physical Society}},
doi = {10.1103/PhysRevA.56.2431},
journal = {Physical Review A},
number = 3,
volume = 56,
place = {United States},
year = {1997},
month = {9}
}