The Gamow Golden Rule of Multichannel Resonances

TL;DR

This paper develops a generalized Gamow Golden Rule for multichannel resonances, enabling calculation of decay properties and branching fractions for complex resonant systems.

Contribution

It introduces a new theoretical framework for multichannel resonance decay analysis, extending the classical Gamow Golden Rule to multiple decay channels.

Findings

Derived decay distributions and widths for multichannel resonances

Applied the theory to coupled-channel square well potentials

Provided a method to compute branching fractions in complex systems

Abstract

We construct the Gamow Golden Rule of multichannel scattering, and use it to obtain the decay distributions, the partial decay constants, the partial decay widths, and the branching fractions of a resonance that has several decay modes. We exemplify the results using two coupled-channel square well potentials.