Time-dependent calculations of transfer ionization by fast proton-helium collision in one-dimensional kinematics

Abstract

We analyze a transfer ionization (TI) reaction in the fast proton-helium collision ${\mathrm{H}}^{+}+\mathrm{He}\to {\mathrm{H}}^0+\mathrm{H}{\mathrm{e}}^{2+}+{\mathrm{e}}^{-}$ by solving a time-dependent Schrödinger equation (TDSE) under the classical projectile motion approximation in one-dimensional kinematics. In addition, we construct various time independent analogues of our model using lowest order perturbation theory in the form of the Born series. By comparing various aspects of the TDSE and the Born series calculations, we conclude that the recent discrepancies of experimental and theoretical data may be attributed to deficiency of the Born models used by other authors. We demonstrate that the correct Born series for TI should include the momentum space overlap between the double ionization amplitude and the wave function of the transferred electron.

10 pages, 6 figures

References in corpus (5)

• The hybrid surface flux method for the ionization amplitude extraction from the calculated wavefunction
• On the dynamics of transfer-ionization in fast ion-atomic collisions
• Transfer ionization and its sensitivity to the ground-state wave function
• 2D electron momentum distributions for transfer ionization in fast proton Helium collisions
• Comment on "Dynamics of transfer ionization in fast ion-atom collisions"