Physics of Atoms and Ions

Formation of $\bar{\rm{H}}^+$ via three body attachment of $\rm{e}^+$ to $\bar{\rm{H}}$

“…Spontaneous radiative attachment (SRA) of an electron to atomic hydrogen via emission of a photon has been studied in detail in the past (see, e.g., [22][23][24][25][26] and references therein) and the corresponding results can be straightforwardly applied also for positron attachment to antihydrogen [25,26]: e + + H → H+ + ω k with ω k the angular frequency of the emitted photon. To be consistent with the calculations for three body attachment with an assisting electron in section II A., we have considered the H+ formation via spontaneous radiative attachment using the same wavefunction (6) for the bound state of the ion.…”

Formation of H¯+ via radiative attachment of e+ to Jacob1, Zhang2, Müller3 et al. 2020Phys. Rev. Research60120View full textAdd to dashboardCite

“…(Single-center) spontaneous radiative attachment of an electron to atomic hydrogen has been considered and is well known (see, e.g., [18][19][20][21][22] and references therein). The corresponding results can be straightforwardly applied also for the attachment of a positron to antihydrogen [21,22].…”

“…To our knowledge, the mechanisms (ii) and (iii) have been considered neither for the formation ofH + nor for (the closely related process of) the formation of H − . In contrast, the mechanism (i) was studied both for the (e − + H) and (e + +H) systems (see, e.g., [18][19][20][21][22] and references therein). In this paper it is regarded as the reference mechanism and is considered for the sake of completeness (and convenience).…”

Recursive determination of phase shifts for screened Coulomb potentials

“…Phase shifts are important for the photo-ionization cross-sections and a reliable calculation of the impact ionization cross-section of an atom requires an accurate determination of the continuum wavefunctions in the incident and in the exit channels. In the theory of collisions, phase shifts determine the scattering cross-sections [2,3]. For instance, the elastic scattering cross-section of particles is The phase shift plays a major role in phase-amplitude methods [4][5][6][7][8]; but whatever the technique chosen for its computation (solving Schrödinger equation or using semi-classical methods [9]), the difficult point is the determination of the potential V(r).…”