Ab initio calculations of scattering cross sections of the three-body system ( p¯,e+,e− ) between the e−

High resolution calculations of low energy scattering in e−e+p¯ and e+e−He++ systems via Faddeev–Merkuriev equations

“…3, we obviously cannot make such quantitative analysis of above the Ps(2) threshold oscillations. Nevertheless we can agree with [27] that there is an oscillation with the energy position close to −0.06194 a.u., which was also found earlier in [38].…”

“…In the recent work [27] cross sections for antihydrogen formation in the energy region between ¯( ) H 2 and H(3) thresholds are studied in detail. For the comparison we plot our results on these cross sections in figure 3.…”

“…Even though there exist many calculations available in the literature, still there is some lack of high-precision and detailed results especially for the e + e − He ++ system, which is one of the reasons for performing this research. Besides, a special emphasis is made on antihydrogen formation by antiproton impact of positronium which is currently used in experiments on antimatter at CERN(see [27] and references therein).…”

“…e − e + p and e + e − p scattering Positron-hydrogen atom scattering is the simplest example of positron-atom scattering process. Many calculations are presented in the literature, among them are detailed calculations using the FM equations for both low energies [27,10,12] and wide energy region including that above the ionisation threshold [13]. Other methods include hyperspherical calculations [7,8], variational [2,4], close coupling calculations using two center basis functions expansion [5,6].…”

“…Other methods include hyperspherical calculations [7,8], variational [2,4], close coupling calculations using two center basis functions expansion [5,6]. The renewed interest in studying the reactions involving positron, electron and (anti)proton is motivated by experiments on antimatter that take place at CERN [27]. The key role in antimatter formation plays the reaction of antihydrogen formation via antiproton (p) impact of positronium (Ps, the bound state of e + and e − ) atom.…”