Electron - atom scattering at low and intermediate energies using a pseudo-state/ R-matrix basis

The use of a pseudo-state expansion within the standard low-energy R-matrix framework to facilitate the study of electron scattering by complex atoms and ions at both low and intermediate energies is discussed. Electron scattering from atomic hydrogen is considered as an example, and results for elastic scattering phase shifts and excitation cross sections are found to be in excellent agreement with recent IERM results in these energy regions. The advantage of this procedure is that existing computer codes, which have been developed over many years, can be directly extended to study electron scattering from a general N-electron target atom or ion.

[1]  I. Percival,et al.  On the theory of elastic collisions between electrons and hydrogen atoms , 1960, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[2]  C. Schwartz.  ELECTRON SCATTERING FROM HYDROGEN , 1961 .

[3]  J. Macek,et al.  Truncation bounds on the phase and K - matrix in scattering theory , 1964 .

[4]  J. Mitchell,et al.  Electron scattering by atomic hydrogen using a pseudo-state expansion. IV. The convergence of the S-state expansion at intermediate energies , 1973 .

[5]  P G Burke,et al.  R-matrix theory of electron scattering at intermediate energies , 1987, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[6]  T. Scholz,et al.  Electron-hydrogen-atom scattering at intermediate energies , 1988 .

[7]  P. Burke,et al.  Electron scattering by atomic hydrogen at intermediate energies. I. Integrated elastic, 1s-2s and 1s-2p cross sections , 1989 .

[8]  M. Plummer,et al.  A detailed calculation of the lowest partial wave of Σu+ symmetry in low energy e+-H2 scattering , 1989 .

[9]  P G Burke,et al.  A two-dimensional R-matrix propagator. Implementation and test on the s-wave model for e-H scattering , 1990 .

[10]  I. Bray,et al.  Exact second-order distorted-wave calculation for hydrogen including second-order exchange , 1991 .

[11]  Shang,et al.  Coupled-channels optical calculation of electron-hydrogen resonances. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[12]  Bray,et al.  Convergent close-coupling calculations of electron-hydrogen scattering. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[13]  Bray,et al.  Explicit demonstration of the convergence of the close-coupling method for a Coulomb three-body problem. , 1992, Physical review letters.

[14]  J. Callaway,et al.  Electron impact excitation of the n = 3 states of hydrogen at intermediate energies , 1993 .

[15]  P. Burke,et al.  Electron-impact excitation of complex atoms and ions , 1994 .

[16]  B. Odgers,et al.  Electron scattering from hydrogen atoms at intermediate energies: integrated cross sections to n=3 levels , 1994 .

[17]  B. Odgers,et al.  CORRIGENDUM: Analysis of the resonant states of H- associated with the N = 2 and N = 3 thresholds of atomic hydrogen , 1995 .

[18]  Bray,et al.  Calculation of electron-helium scattering. , 1995, Physical review. A, Atomic, molecular, and optical physics.

[19]  Bray,et al.  Calculation of electron-helium scattering at 40 eV. , 1995, Physical review. A, Atomic, molecular, and optical physics.