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

TL;DR

This paper investigates the scattering properties of a neutral four-body system composed of two electrons and two positrons using the hyperspherical framework, providing insights into low-energy interactions and transition rates between fragmentation channels.

Contribution

It introduces calculations of adiabatic potentials, low-energy scattering lengths, and S-matrix elements for the $2e^-2e^+$ system, advancing understanding of its scattering behavior.

Findings

Calculated adiabatic potentials for specific symmetries.

Determined low-energy s-wave scattering lengths for different spin states.

Estimated transition rates between ionic and dimer-dimer channels.

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.