Elastic scattering of electrons and positrons by atomic hydrogen and helium at intermediate and high energies

The eikonal Born series (EBS) method is used to analyse the elastic scattering of fast electrons and positrons by atomic hydrogen and helium. The properties of the terms of the Born and Glauber series are discussed, and in particular the dependence of these terms as a function of the (large) incident wavenumber k and the magnitude Delta of the momentum transfer. A more precise EBS treatment of small-angle scattering is presented by improving the calculation of the second Born term in this angular region. The EBS results agree very well with the recent absolute measurements of elastic differential cross sections, both for electron-atomic-hydrogen and electron-helium collisions.

[1]  島村 勲.  C. J. Joachain: Quantum Collision Theory, North-Holland, Amsterdam, 1975, xv+710ページ, 23.5×16.5cm, 36,000円. , 1978 .

[2]  F. J. Heer,et al.  Absolute differential cross sections for elastic scattering of electrons by helium, neon, argon and molecular nitrogen , 1976 .

[3]  J. F. Williams.  Electron scattering from atomic hydrogen. III. Absolute differential cross sections for elastic scattering of electrons of energies from 20 to 680 eV , 1975 .

[4]  L. Vŭsković,et al.  Differential cross sections of 100, 150 and 200 eV electrons elastically scattered in helium , 1975 .

[5]  B. Jaduszliwer,et al.  The Scattering of Positrons by Helium: Total Cross Sections up to 270 eV , 1975 .

[6]  R. Vanderpoorten.  A local optical potential study of elastic electron-atom scattering , 1975 .

[7]  F. M. Harris,et al.  Total cross sections for the scattering of 50-400 eV positrons by helium , 1975 .

[8]  J. A. Preston,et al.  Differential elastic scattering of electrons by the rare gases. I. Helium , 1975 .

[9]  E. Gerjuoy,et al.  Applications of the Glauber approximation to atomic collisions , 1974 .

[10]  C. Joachain,et al.  Ab-initio optical model theory of elastic electron-atom scattering , 1974 .

[11]  S. Sethuraman,et al.  Angular differential cross sections for elastically scattered electrons in helium , 1974 .

[12]  H. Walters,et al.  Second Born approximation to the elastic scattering of electrons and positrons by helium atoms , 1974 .

[13]  J. Bromberg.  Absolute differential cross sections of electrons elastically scattered by the rare gases. I. Small angle scattering between 200 and 700 eV , 1974 .

[14]  P. Teubner,et al.  Differential cross sections for the elastic scattering of electrons from atomic hydrogen. II. Medium energies , 1974 .

[15]  K. H. Winters,et al.  The use of second order potentials in the theory of scattering of charged particles by atoms. VII. The partial wave formalism and elastic scattering of electrons by hydrogen and helium , 1974 .

[16]  C. Joachain,et al.  Elastic scattering of electrons by atomic hydrogen at intermediate energies , 1974 .

[17]  A. C. Yates.  On the term-wise analysis of the glauber eikonal series , 1974 .

[18]  C. Joachain,et al.  Elastic scattering of fast electrons by helium , 1973 .

[19]  E. Mund,et al.  Potential scattering in the eikonal approximation. II , 1973 .

[20]  K. H. Winters,et al.  The use of second order potentials in the theory of scattering of charged particles by atoms. VI. Elastic scattering of electrons by hydrogen and helium atoms , 1973 .

[21]  K. Canter,et al.  The measurement of total cross sections for positrons of energies 2-400 eV in He, Ne, Ar, and Kr , 1973 .

[22]  C. Joachain,et al.  Remarkable properties of the eikonal approximation , 1973 .

[23]  C. Joachain,et al.  Atomic rearrangement collisions in the eikonal approximation , 1972 .

[24]  M. Mcdowell,et al.  COLLISIONS OF FAST ELECTRONS WITH HELIUM. I. VARIOUS FORMS OF THE SECOND BORN APPROXIMATION. , 1972 .

[25]  N. Oda,et al.  Energy and Angular Distributions of Secondary Electrons Resulting from Ionizing Collisions of Electrons with Helium and Krypton , 1972 .

[26]  A. R. Holt.  On the simplified second born approximation , 1972 .

[27]  M. J. Woollings.  Collisions of fast electrons with helium. II. Identities satisfied by the second Born scattering amplitude , 1972 .

[28]  C. Joachain,et al.  Elastic electron-atom scattering at intermediate energies , 1971 .

[29]  A. R. Holt,et al.  Forward elastic scattering of electrons by helium , 1971 .

[30]  S. Khare.  Angular distribution of electrons elastically scattered by helium atoms , 1969 .

[31]  J. Bromberg.  Absolute Differential Cross Sections of Elastically Scattered Electrons. I. He, N2, and CO at 500 eV , 1969 .

[32]  A. R. Holt.  Application of a simplified second Born approximation to the scattering of electrons and protons by hydrogen atoms: II , 1968 .

[33]  Yong-ki Kim,et al.  Total Cross Sections for Inelastic Scattering of Charged Particles by Atoms and Molecules. I. A Sum Rule for the Bethe Cross Sections and Its Application to the Helium Atom , 1967 .

[34]  C. Joachain,et al.  Correlation Effects in Atoms. I. Helium , 1966 .

[35]  S. Khare.  Differential cross sections for electrons elastically scattered by helium atoms , 1965 .

[36]  B. Moiseiwitsch,et al.  THE ANGULAR DISTRIBUTION OF ELECTRONS ELASTICALLY SCATTERED BY HELIUM ATOMS AND BY HYDROGEN MOLECULES , 1965 .

[37]  C. Pekeris,et al.  EXCITED S STATES OF HELIUM , 1962 .

[38]  E. Salpeter,et al.  Lamb Shift Excitation Energy in the Ground State of the Helium Atom , 1960 .

[39]  C. Normand.  The Absorption Coefficient for Slow Electrons in Gases , 1930 .

[40]  R. B. Brode.  The Absorption Coefficient for Slow Electrons in Gases. , 1925 .