Triple coalescence singularity in a dynamical atomic process

TL;DR

This paper investigates the high-energy behavior of a specific atomic process involving double electron capture and photon emission, revealing that the amplitude is governed by the wave function near a triple coalescence singularity.

Contribution

It introduces a novel analysis linking the high-energy limit of the process to the wave function's behavior at a triple coalescence point.

Findings

Amplitude determined by wave function near singularity

Highlights importance of triple coalescence in atomic processes

Provides theoretical insight into high-energy atomic interactions

Abstract

We show that the high energy limit for the amplitude of the double electron capture to the bound state of the Coulomb field of a nucleus with emission of a single photon is determined by behavior of the wave function in the vicinity of the singular triple coalescence point.