It can be seen that the effects of the correction term at lower energies are significant.
1 shows our CTMC and QCTMC results corresponding to the three calculation schema of the electron capture cross sections into the 4 s state of the projectile in Be 4+ + H (1 s) collision as a function of the impact energy. (3) Combined one, i.e., target and projectile centered when the correction term is taken into account between target electron and both the target nucleus and projectile.Īs an example Fig. These are the following: (1) target-centered, where the correction term is taken into account between the target electron the target nucleus, (2) projectile-centered, where the correction term is taken into account between the target electron the projectile. At first, we tested three calculation schemes during our simulations since the Heisenberg correlation potential may influenced the obtained results significantly. Since there is no experimental data available, our calculated cross sections are compared with the previous theoretical results.įor each collision energies, the calculation of the state selective electron capture cross sections requires to follow 10 7 classical trajectories. We treat the collision dynamics classically using a three-body classical trajectory Monte Carlo (CTMC) and a three-body quasi classical Monte Carlo (QCTMC) model when the Heisenberg correction term is added to the standard CTMC model via model potential 16, 17, 18, 19, 20, 21. In this work we present the electron capture cross sections into the bound states of the projectile in Be 4+ + H(1 s) collisions. 15 by solving the time-dependent Schrödinger equation with the GridTDSE package (GTDSE) numerically in the broad energy range between 1 keV/amu and 500 keV/amu.
The calculation of the principle quantum number, n, dependent cross sections has been studied by Jorge et al. It is worth noting that all the results have been published for projectile energy below 100 keV/amu. The partial electron capture cross sections in the collision between Be and hydrogen atom have been also studied using different quantum–mechanical methods such as: QMOCC 4, 12, AOCC 5, one-electron diatomic molecule (OEDM) 13, and boundary corrected continuum intermediate state (BCCIS) 14 models. The total electron capture cross sections have been studied using various models and methods such as applying the quantum–mechanical molecular orbital close-coupling (QMOCC) 4, the atomic orbital close-coupling (AOCC) 5, the hyper spherical close-coupling (HSCC) 6 models, using the solution of the time dependent Schrödinger equation (TDSE) 7, the lattice time dependence Schrödinger equation (LTDSE) 8, the classical over barrier model (COBM) 9 and the classical trajectory Monte Carlo method 10, 11. Due to the experimental difficulties, the experimental results for electron capture cross sections in Be 4+ + H collisions are entirely lacking, but those were studied intensively theoretically in the past years. Therefore, the exact knowledge of electron capture cross sections in collisions between Be ions and hydrogen atoms is essential 3. These radiative decays can be analyzed by the electron capture recombination spectroscopy (CXRS). The radiative decay of excited impurity ions can be the source for the energy loss of the plasma and can cool the plasma. So, due to wall erosion, Beryllium should be one of main impurity in fusion chamber 2. Moreover, our model with simplicity can time efficiently carry out simulations where maybe the quantum mechanical ones become complicated, therefore, our model should be an alternative way to calculate accurate cross sections and maybe can replace the quantum–mechanical methods.īeryllium is widely used as a first wall element of the fusion reactors 1 because of its unique thermo-physical properties. Our results are very close and are in good agreement with the previously obtained quantum–mechanical results. We found that our model for Be 4+ + H(1 s) system remarkably improves the obtained state-selective electron capture cross sections, especially at lower projectile energies. Calculations are carried out in the projectile energy range of 1–1000 keV/amu. The quantum behavior is taken into account with the correction term in the Hamiltonian as was proposed by Kirschbaum and Wilets (Phys Rev A 21:834, 1980). The n- and nl-selective electron capture cross sections are calculated by a three-body classical trajectory Monte Carlo method (CTMC) and by a classical simulation schema mimicking quantum features of the collision system. We present state-selective electron capture cross sections in collision between Be 4+ and ground state hydrogen atom.