Scattering properties of the $2e^{-}2e^{+}$ polyelectronic system

Abstract

We study the $2e^{-}2e^{+}$ equal-mass charge-neutral four-body system in the adiabatic hyperspherical framework. The lowest few adiabatic potentials are calculated for zero orbital angular momentum, positive parity, and charge conjugation symmetries. Propagating the R-matrix, the low-energy $s$-wave scattering lengths of the singlet-singlet and triplet-triplet spin configurations are calculated. Lastly, we calculate the S-matrix for energies above the ionic threshold to estimate the transition rates between the single ionic fragmentation channel and the lowest few dimer-dimer fragmentation channels.

arXiv comment8 pages, 5 figures

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Cited by in corpus (9)

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• Correlated Pair Approach to Composite Boson Scattering Lengths
• Hyperspherical theory of the quantum Hall effect: the role of exceptional degeneracy
• Hyperspherical asymptotics of a system of four charged particles
• Low-Energy Scattering Properties of Ground-State and Excited-State Positronium Collisions
• Few-body collective excitations beyond Kohn's theorem in quantum Hall systems
• Scattering amplitudes for dark and bright excitons
• Observability of modified threshold behavior near unitarity