Ionization cross sections in collisions between fully striped ions with ground state hydrogen atoms – the quasi-classical treatment of the collision*

Recently, ionic impurities with nuclear charges [endif]--> are found in the core of thermonuclear experimental reactores. Due to the high temperature and density in the core, these impurities are fully striped ions. Therefore, the accurate knowledge of the ionization cross sections in collision between hydrogen atoms and bare charged particles is essential for the effective modelling and control of the plasma in tokamak reactors. The standard three-body classical trajectory Monte Carlo (CTMC) model is a well-known classical treatment for modelling atomic collisions [1]. But due to the lack of quantum features in the standard model, the CTMC model is not able to describe accurately the cross sections mostly at lower impact energies when the quantum mechanics characteristic is dominant. Therefore, we developed a three-body quasi classical trajectory Monte Carlo (QCTMC) model, where the Heisenberg correction term is added to the standard classical Hamiltonian of the collision system to mimic the Heisenberg uncertainty principle [2-5] and thereby taking into account some quantum feature of the collision system. In this work, we have calculated the ionization cross sections between fully stripped ions and ground state hydrogen atoms. We found that our QCTMC model provides higher ionization cross sections compared with the CTMC results especially at lower impact energies.  Our QCTMC results are close and are in good agreement with the obtained quantum-mechanical results as well as experimental data.