Self-intersecting Regge trajectories in multi-channel scattering

TL;DR

This paper introduces a straightforward method for calculating Regge trajectories in multichannel scattering, demonstrating how non-adiabatic interactions can create loops in these trajectories and validating the approach with resonance cross section calculations.

Contribution

A simple direct method for Regge trajectory calculation in multichannel scattering problems, accounting for non-adiabatic effects and validated through resonance cross section analysis.

Findings

Non-adiabatic interactions can cause loops in Regge trajectories.

The method accurately predicts resonance contributions to cross sections.

Loops in trajectories are linked to specific interaction effects.

Abstract

We present a simple direct method for calculating Regge trajectories for a multichannel scattering problem. The approach is applied to the case of two coupled Thomas-Fermi type potentials, used as a crude model for electron-atom scattering below the second excitation threshold. It is shown that non-adiabatic interaction may cause formation of loops in Regge trajectories. The accuracy of the method is tested by evaluating resonance contributions to elastic and inelastic integral cross sections.