Absolute triply differential cross section for K-shell ionisation by relativistic electron impact for high atomic number

Theoretical analysis of the relativistic first order Born approximation for inner shell (e, 2e) processes

“…TDCS (in mbarn/srad keV) for 1s state ionization as a function of in coplanar symmetric geometries: a Z"79, E "300 keV, b Z"79, E "500 keV, c Z"47, E "300 keV, d Z"47, E "500 keV, e Z"29, E "300 keV, f Z"29, E "500 keV. Symbols: experimental data [3,4], full curve: results of [2,[7][8][9], long dashed curve: results of approximate first order Born theory [4], short dashed curve: results of Coulomb-Born theory [10], dotted curve: results of rDWBA [15] (where available) functions which lead to stronger cancellations. Furthermore in any case one of these functions turns out to be small near the origin.…”

“…It is this large relative value of J which compensates the influence of the small overlap integral in (11) and leads to the strong discrepancies between fully relativistic and approximate theories in the calculation of s state ionization TDCS in coplanar asymmetric geometries: the additional constant amplitude accounts for the large difference in absolute magnitude of the TDCS. Furthermore the incorrect representation of the secondary peak in theories using approximate wave functions can be related to the fact that the same term removes the zeros of some of the contributions to the spin sum in (2).…”

“…For a number of years, substantial discrepancies existed between the absolute experimental data for triple differential cross sections (TDCS) for electron impact ionization of inner shells of high-Z atoms obtained by Nakel and collaborators [1][2][3][4][5] and the results of theoretical calculations of these processes [4,[6][7][8][9][10][11][12]. However recently, definite progress towards quantitative agreement between theory and experiment could be achieved with the implementation of a fully relativistic distorted wave Born approximation (rDWBA) [13][14][15].…”

Relativistic (e, 2e) collisions on atomic inner shells in symmetric geometry

“…For recent reviews see [3,4,5]. Work in the relativistic region began with the (e, 2e) experiments of Schfile and Nakel [6] and of Ruoff and Nakel [7] at an incident electron energy of 500 keV. There it was possible to measure the absolute triple differential cross section for K-shell ionisation of atoms with higher atomic numbers (Z = 47 and 73) using an energy-sharing method.…”

Energy Spectrum of Ejected Electrons of H(2P) Ionization by Electrons in Coplanar Asymmetric Geometry

“…The theoretical and experimental study in electron atom ionization collision on differential cross sections has become increasingly interesting over four decades for relativistic [1][2][3][4][5] as well as non-relativistic [6][7][8][9][10][11][12][13][14][15][16][17] energies. Various theoretical models applying differential kinematical conditions have been vastly used for experimental measurements.…”