Interaction of Be4+ and Ground State Hydrogen Atom—Classical Treatment of the Collision

Abstract

The interaction between Be4+ and hydrogen atom is studied using the three-body classical trajectory Monte Carlo method (CTMC) and the quasiclassical trajectory Monte Carlo method of Kirschbaum and Wilets (QTMC-KW). We present total cross sections for target ionization, target excitation, and charge exchange to the projectile bound states. Calculations are carried out in the projectile energy range between 10 and 1000 keV/au, relevant to the interest of fusion research when the target hydrogen atom is in the ground state. Our results are compared with previous theoretical results. We found that the classical treatment describes reasonably well the cross sections for various final channels. Moreover, we show that the calculations by the QTMC-KW model significantly improve the obtained cross sections.

State-selective charge exchange cross sections in Be$$^{4+} -\hbox {H}(2\textit{lm})$$ collision based on the classical trajectory Monte Carlo method

“…The total and partial cross sections for the charge exchange in collisions between Be 4+ and ground state hydrogen atoms were already studied using classical and different quantum-mechanical models [3][4][5][6][7][8][9][10][11][12]. Cornelius et al [13] and Hoekstra et al [14] have calculated the charge exchange cross sections into the final states n, in collisions of Be 4+ with an excited hydrogen atom (H(n = 2)) by the classical trajectory Monte Carlo method (CTMC).…”

“…The CTMC method is a non-perturbative method where classical equations of motions are solved numerically, and the initial conditions are chosen randomly [3,12,15]. The classical trajectory Monte Carlo method has succeeded in dealing with the charge exchange processes in ion atom collisions [3,12]. One of the advantages of this method is that many-body interactions are taken into account during the collisions on a classical level.…”

Ionization cross sections in collisions between two hydrogen atoms by a quasi-classical trajectory Monte Carlo model

“…The total kinetic energy and the Coulomb potential term are denoted by T and V coul , respectively. 40 r⃑ , p⃑ , Z , and m are the position vector, momentum vector, the charge, and the mass of the corresponding particles (P; projectile, P e ; projectile's electron, T; target, T e ; target's electron), respectively. 22,40 The equations of motion considering Hamiltonian mechanics is given as follows:…”

“…17,21 To maintain statistical uncertainty around 1%, a large number of trajectories is highly required. 17,40 The total ionization cross-sections can be calculated bywhere b (P) j is a given impact parameter that satisfies the ionization criterion, N is the total number of calculated trajectories, and b max is the largest impact parameter value in which the ionization processes can occur. 17,22 The statistical uncertainty of the ionization cross section is given by:where N P is the number of trajectories that meet the ionization criterion.…”

Investigation of electron capture in swift C4+ (1s2s 3S) collisions with gas targets using a zero-degree Auger projectile spectroscopy apparatus built with the L45 beam line at the ‘Demokritos’ 5.5MV tandem accelerator

“…More recent applications of accelerator-based Atomic Physics include studying neutral atomic hydrogen collisions with applications in fusion research, for plasma density measurements, through Beam Emission Spectroscopy [41]. Also related to fusion research are collisional cross sections for partially/fully stripped Be ions, since Be is used as the armor material for the components facing the plasma [42]. Due to chemical and physical erosion of these components, an influx of Be ions into the plasma is expected [43].…”