Reconciliation of measured fully differential single ionization data with the first Born approximation convoluted with elastic scattering

2007 ◽  
Vol 76 (3) ◽  
Author(s):  
M. Schulz ◽  
M. Dürr ◽  
B. Najjari ◽  
R. Moshammer ◽  
J. Ullrich
Keyword(s):  
Elastic Scattering ◽  
Born Approximation ◽  
Single Ionization ◽  
Fully Differential

Fully differential cross sections for C6+single ionization of helium

2004 ◽  
Vol 37 (8) ◽  
pp. 1565-1580 ◽  
Author(s):  
M Foster ◽  
D H Madison ◽  
J L Peacher ◽  
M Schulz ◽  
S Jones ◽  
...  
Keyword(s):  
Cross Sections ◽  
Differential Cross ◽  
Differential Cross Sections ◽  
Single Ionization ◽  
Fully Differential

The elastic scattering of fast electrons and positrons by hydrogen and helium atoms

1959 ◽  
Vol 250 (1262) ◽  
pp. 337-345 ◽  
Keyword(s):  
Elastic Scattering ◽  
Cross Sections ◽  
Differential Cross ◽  
Born Approximation ◽  
Logarithmic Singularity ◽  
Hydrogen Atoms ◽  
Fast Electrons ◽  
Helium Atoms ◽  
Electrons And Positrons ◽  
Angle Scattering

A simplification of the second Born approximation due to Massey & Mohr is used to calculate the differential cross-sections for the elastic scattering of fast electrons and fast positrons by hydrogen atoms and helium atoms, the method of Dalitz being applied to evaluate all the relevant integrals. Although the logarithmic singularity which is found in the differential cross-section for zero-angle scattering is shown to be absent in the true second Born approximation the use of the simplification of this approximation is justified at sufficiently high impact energies provided the angle of scattering is not too small. The results of the calculations for incident electrons in helium are compared with the available experimental data.

FULLY DIFFERENTIAL STUDIES ON SINGLE IONIZATION OF HELIUM BY SLOW PROTON IMPACT

2006 ◽  
Author(s):  
A. HASAN ◽  
N. V. MAYDANYUK ◽  
M. FOSTER ◽  
B. TOOKE ◽  
E. NANNI ◽  
...  
Keyword(s):  
Proton Impact ◽  
Single Ionization ◽  
Fully Differential

scholarly journals Scattering of Alpha-particles by a Vibrational Nucleus

1962 ◽  
Vol 15 (2) ◽  
pp. 135 ◽  
Author(s):  
LJ Tassie
Keyword(s):  
Elastic Scattering ◽  
Plane Wave ◽  
Experimental Test ◽  
Born Approximation ◽  
Alpha Particles ◽  
Nuclear Surface ◽  
Vibrational States ◽  
Phonon Excitation ◽  
Plane Wave Born Approximation ◽  
Good Agreement

The elastic and inelastic scattering of cx-particles by a vibrational nucleus is calculated using plane-wave Born approximation. The excitation of both single-phonon and twophonon states is considered. The effect of the diffuseness of the nuclear surface is included. The result for elastic scattering and the excitation of the single-phonon 2+ and 3- states is in good agreement with experiment for .oNi. The approximations used are discussed, and it is suggested that excitation of 0+, 1-, and 5- states should provide the best experimental test of the theory of two-phonon excitation of nuclei. The energies of the vibrational states are also considered.

First-order exchange approximation

1963 ◽  
Vol 276 (1366) ◽  
pp. 346-353 ◽  
Keyword(s):  
Elastic Scattering ◽  
Cross Sections ◽  
Born Approximation ◽  
Scattering Amplitude ◽  
Wave Functions ◽  
Hydrogen Atoms ◽  
Final State ◽  
First Order ◽  
Exchange Approximation ◽  
Exchange Scattering

It is shown that when the Born approximation is applied to rearrangement collisions in the customary way, terms of the first order in the interaction energy between the colliding particles are omitted from the exchange scattering amplitude. If these terms are retained the arbitrariness which arises from the lack of orthogonality between the initial and final state wave functions is removed. The first-order exchange approximation derived in the present paper is employed to calculate the cross-sections for the 1 s -2 s and 1 s -2 p excitations of hydrogen atoms by electron impact and the elastic scattering of electrons by hydrogen atoms.

scholarly journals Mott-Schwinger Effect in the Elastic Scattering of Neutrons from 209Bi

1994 ◽  
Vol 47 (6) ◽  
pp. 681 ◽  
Author(s):  
N Alexander ◽  
K Amos ◽  
L Berge
Keyword(s):  
Elastic Scattering ◽  
Electric Field ◽  
Cross Sections ◽  
Magnetic Moment ◽  
Born Approximation ◽  
Exact Results ◽  
Specific Solution ◽  
Scattering Cross ◽  
The Past ◽  
Scattering Cross Sections

The Mott-Schwinger potential arising from the interaction of the magnetic moment of a neutron incident upon an electric field (of 209Bi) is found to have a profound effect upon the elastic scattering cross sections and polarisations at 0�5, 14�5 and 24 MeV. These effects are evaluated by specific solution of the relevant Schrodinger equations (for 100 partial waves) and with the Born approximation used to define the influence upon all higher ones. These 'exact' results agree with the estimations made under approximation in the past, but not Schr6dinger 100 with 'exact' results calculated by a different method.

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