Ro-Vibrational Hamiltonian of Three Body Systems Near Collinear Configurations

TL;DR

This paper analyzes the reduction of the Ro-Vibrational Hamiltonian in three-body systems near collinear configurations, providing methods to detect deviations and compute the Hamiltonian at these critical points.

Contribution

It introduces a new analysis method for the reduction procedure of the Hamiltonian near collinear configurations in three-body systems.

Findings

Detection of deviation points in collinear configurations

Method to compute reduced Hamiltonian at these points

Enhanced understanding of three-body dynamics near collinearity

Abstract

Recent developments on three body systems have revealed that dynamics of trajectories passing through collinear configurations can be easily adopted. We analyse the reduction procedure in order to detect the points where collinear configurations are deviating. Then we show that the value of the reduced Hamiltonian can be computed at these points.