Statistics of photodissociation spectra: nonuniversal properties

TL;DR

This paper derives a formula linking the two-point correlation function of photodissociation spectra to classical dynamics, highlighting nonuniversal features that can impact experimental observations.

Contribution

It introduces a new theoretical relation between spectral correlations and classical system behavior in molecules with indirect dissociation.

Findings

Derived a formula connecting spectral correlations to classical dynamics.

Identified nonuniversal spectral features with experimental relevance.

Analyzed the impact of overlapping resonances on correlation functions.

Abstract

We consider the two-point correlation function of the photodissociation cross section in molecules where the fragmentation process is indirect, passing through resonances above the dissociation threshold. In the limit of overlapping resonances, a formula is derived, relating this correlation function to the behavior of the corresponding classical system. It is shown that nonuniversal features of the two-point correlation function may have significant experimental manifestations.