K-shell ionization of heavy hydrogen-like ions

Abstract

A theoretical study of the K-shell ionization of hydrogen-like ions, colliding with bare nuclei, is performed within the framework of the time-dependent Dirac equation. Special emphasis is placed on the ionization probability that is investigated as a function of impact parameter, collision energy and nuclear charge. To evaluate this probability in a wide range of collisional parameters we propose a simple analytical expression for the transition amplitude. This expression contains three fitting parameters that are determined from the numerical calculations, based on the adiabatic approximation. In contrast to previous studies, our analytical expression for the transition amplitude and ionization probability accounts for the full multipole expansion of the two-center potential and allows accurate description of nonsymmetric collisions of nuclei with different atomic numbers, $Z_1\ne Z_2$. The calculations performed for both symmetric and asymmetric collisions indicate that the ionization probability is reduced when the difference between the atomic numbers of ions increases.

arXiv comment8 pages, 6 figures

References in corpus (5)

• Dual kinetic balance approach to basis set expansions for the Dirac equation
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• Numerical solution of the time-independent Dirac equation for diatomic molecules: B-splines without spurious states
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• Positron spectra from internal pair conversion observed in {238}U + {181}Ta collisions

Cited by in corpus (1)

• Ionization in a laser assisted ion-ion collision