An L2 approach to the solution of coupled-channel scattering equations

It is proposed to solve a coupled-channel scattering equation representing the effect of all but a few channels by an optical potential. This optical potential is expanded on an L2 basis and it is shown how the resulting pseudoresonances can be eliminated using the 'equivalent weight' hypothesis of Heller (1973). These ideas are applied to a model problem posed by Burke, Berrington and Sukumar (1981) and accurate singularity-free solutions are obtained. The extension of the method to electron-atom scattering is discussed.

[1]  C. Sukumar,et al.  Electron-atom scattering at intermediate energies , 1981 .

[2]  A. Ford,et al.  Inner-shell charge transfer in asymmetric ion-atom collisions , 1979 .

[3]  William P. Reinhardt,et al.  L2 discretization of atomic and molecular electronic continua: Moment, quadrature and J-matrix techniques , 1979 .

[4]  J. Broad.  Gauss quadrature generated by diagonalization of H in finite L 2 bases , 1978 .

[5]  W. Reinhardt,et al.  Moment T-matrix approach to e+ -H scattering. II. Elastic scattering and total cross section at intermediate energies , 1978 .

[6]  W. Reinhardt,et al.  Moment T-matrix approach to e+ -H scattering. I. Angular distribution and total cross section for energies below the pickup threshold , 1978 .

[7]  M. Strayer,et al.  Totally microscopic description ofn-O16elastic scattering. II , 1978 .

[8]  W. Reinhardt,et al.  L$sup 2$ discretizations of the continuum: radial kinetic energy and Coulomb Hamiltonian , 1975 .

[9]  J. Reading,et al.  Bound state representation of scattering solutions , 1975 .

[10]  E. Heller,et al.  Extraction of Scattering Information from Fredholm Determinants Calculated in an L2 Basis: A Chebyschev Discretization of the Continuum , 1973 .

[11]  E. Heller,et al.  On an “equivalent quadrature” calculation of matrix elements of (z − p2/2m)−1 using an L2 expansion technique , 1973 .

[12]  J. Callaway,et al.  Scattering of electrons by hydrogen atoms at intermediate energies , 1973 .

[13]  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 .

[14]  P. Burke,et al.  ELECTRON SCATTERING BY ATOMIC HYDROGEN USING A PSEUDO-STATE EXPANSION. III. EXCITATION OF 2s AND 2p STATES AT INTERMEDIATE ENERGIES. , 1970 .

[15]  Howard S. Taylor,et al.  Stabilization Method of Calculating Resonance Energies: Model Problem , 1970 .