Effective Field Theory for Atom-Molecule Systems I: Formulation of Effective Field Theory

TL;DR

This paper develops an effective field theory framework for coupled bosonic atom-molecule systems, deriving key physical parameters and relating them to experimental data for accurate modeling.

Contribution

It introduces a formalism based on c-field methods to model atom-molecule interactions and derives expressions for scattering length and binding energy.

Findings

Derived expressions for s-wave scattering length and binding energy

Established a method to relate theoretical parameters to experimental data

Provided a formalism for accurate atom-molecule system modeling

Abstract

We present a model of a coupled bosonic atom-molecule system, using the recently developed c-field methods as the basis in our formalism. We derive expressions for the s-wave scattering length and binding energy within this formalism, and by relating these to the corresponding experimental parameters, we can accurately determine the phenomenological parameters in our system.