Tables for born approximation calculations of K- and L-shell ionization by protons and other charged particles

Khandelwal, G. S.; Choi, Byung‐Ho; Merzbacher, Eugen

doi:10.1016/s0092-640x(69)80022-7

Cited by 262 publications

(23 citation statements)

References 9 publications

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“…Experimental cross sections are compared in Figure 3 with theoretical ionization cross sections calculated in different approximations to direct Coulomb ionization: the classical BEA [1,5], the SCA [7] that treats the particle trajectories classically but the interaction between the target electron and the projectile in quantum mechanical time-dependent perturbation theory, and the quantum mechanical first order PWBA [8]. SCA and PWBA cross sections were obtained from published tabulations of reduced cross sections [38,39]. Furthermore Figures 3 and 4 show theoretical cross sections from PWBA calculations including corrections for the electron binding energy change and for Coulomb deflection of the projectile (curves labelled CPWBA) 1-10].…”

Section: A K-shell Ionization Cross Sectionsmentioning

confidence: 99%

Oxygen inducedK-shell ionization of selected elements from sulphur to bromine

1977

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K-shell X-ray production cross sections for oxygen ions on thin solid targets of 13 selected elements with atomic numbers between 16 and 35 were measured by a Si(Li) detector at incident ion energies from 7 to 24MeV. Ionization cross sections are compared with calculations assuming Coulomb-ionization. Best agreement is found with theoretical cross sections that include corrections for binding energy and Coulomb deflection effects. Energy shifts of K s and K~ X-rays and KJKr intensity ratios were also measured and are used to deduce information about outer shell ionization.

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Section: A K-shell Ionization Cross Sectionsmentioning

confidence: 99%

Oxygen inducedK-shell ionization of selected elements from sulphur to bromine

1977

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“…The universal numerical tables of the PWBA cross sections have been published for K shell, 2-4 L subshells, [3][4][5] and M subshells. 6 When the projectile energy is low, the simple first-order Born theories become invalid and various effects neglected in the PWBA play an important role in the inner-shell ionization processes: (1) the increase in the binding energy of the tar-get electron due to presence of the projectile, (2) the Coulomb deflection of the projectile in the field of the target nucleus, (3) the polarization of the wave function of the target electron by the projectile, (4) the energy loss of the projectile during ionization, and (5) the relativistic effect on the target electron wave function. Brandt and Lapicki 7 incorporated these effects into the PWBA and developed the so-called ECPSSR theory, 8 which accounts for the energy-loss effect (E), the Coulomb-deflection effect (C), the binding-energy and polarization effects in the perturbed-stationary-state method (PSS), and the electronic relativistic effect (R).…”

Section: Introductionmentioning

confidence: 99%

Energy-Loss Effect in K-Shell Ionization

Mukoyama

1998

Int. J. PIXE

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The energy-loss effect of the projectile for direct inner-shell ionization cross sections by charged-particle impact has been examined. The relativistic and nonrelativistic calculations for K-shell ionization with and without the energy-loss effect are made in the plane-wave Born approximation and compared with the Brandt-Lapicki theory for the corrections of the relativistic and energy-loss effect. It is demonstrated that the Brandt-Lapicki method gives a good approximation to both relativistic and nonrelativistic cross sections, which implicitly take into account the energy-loss effect. However, the use of the Brandt-Lapicki relativistic correction method in the nonrelativistic theory with the exact integration limits for energy and momentum transfer overestimates the relativistic calculations for low-energy projectiles. This indicates that the Brandt-Lapicki method for correction of the electronic relativistic effect should be used only with their energy-loss correction method.

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“…2 b). The experimental results .have been compared with five different theoretical approaches, namely the semiclassical binary encounter approximation (BEA) [4,6], the plane-wave Born approximation (PWBA) [10] as well as PWBA with Coulomb deflection correction (PWBAC), PWBA with binding energy correction (PWBAB), PWBA with binding energy and Coulomb deflection correction (PWBABC) [14]. As regards the agreement between experiments and different theoretical approaches one can say the following:…”

Section: Resultsmentioning

confidence: 99%