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.

8 pages, 5 figures

References in corpus (1)

• The sky distribution of positronium annihilation continuum emission measured with SPI/INTEGRAL

Cited by in corpus (4)

• A Comprehensive Study of the Three- and Four-Neutron Systems at Low Energies
• Correlated Pair Approach to Composite Boson Scattering Lengths
• Hyperspherical asymptotics of a system of four charged particles
• Few-body collective excitations beyond Kohn's theorem in quantum Hall systems