The current methods of energy production will not be able to meet humanity's energy needs in the long run. One of the most promising solutions for the future is the implementation of fusion power plants. In this context, accurate knowledge of the cross sections in collisions between He²⁺ ions and hydrogen isotopes is critical for controlled nuclear fusion research.
The standard three-body classical trajectory Monte Carlo (CTMC) model is a well-known classical approach for modeling atomic collisions [1]. However, due to the absence of quantum features in this standard model, the CTMC is unable to accurately describe cross sections, particularly at lower impact energies where quantum mechanical effects are dominant. To address this limitation, we developed a three-body quasi-classical trajectory Monte Carlo (QCTMC) model that incorporates the quantum characteristics of the collision system. In this model, a Heisenberg correction term is added to the standard classical Hamiltonian to simulate the Heisenberg uncertainty principle [2-7].
We present ionization and charge exchange, total and differential cross sections for collisions between He²⁺ ions and hydrogen isotopes at impact energies ranging from of 2.5 keV/u to 885.0 keV/u, utilizing both the CTMC and QCTMC models. Our findings indicate that the QCTMC model significantly enhances the accuracy of the cross sections, particularly at lower projectile energies. The results obtained are in close agreement with previously reported quantum-mechanical findings. Our model efficiently provides accurate results with greater simplicity, where quantum mechanical approaches may become complicated. Thus, our QCTMC model serves as a viable alternative for calculating accurate cross sections, yielding results comparable to those derived from quantum-mechanical methods [2-7].

ion-atom collision,ionization,charge exchange,classical trajectory Monte Carlo model,quasi-classical trajectory Monte Carlo model