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In this work we study the single ionization of hydrogen and helium by theimpact of a punctual Coulomb projectile. To interpretate the cross section weintroduce a series of Pad\'{e} approximant. The nodes of the denominator of thePad\'{e} approximant give rise to poles in the charge complex plane. Thesepoles move with the projectile velocity following a certain pattern. We findthe positions of the poles of the Continuum Distorted Wave theory and anensamble of experimental results. It was found that the ionization crosssection may have oscillations in terms of the incident charge for a givenimpact velocity.

Atomic ionization by multicharged ions interpreted in terms of poles in the charge complex space