The role of boson-fermion correlations in the resonance theory of superfluids

TL;DR

This paper investigates how boson-fermion correlations influence the resonance theory of superfluids, emphasizing their role in accurately modeling boson-boson interactions during the fermionic to bosonic crossover.

Contribution

It demonstrates that including boson-fermion correlations is essential for correctly deriving the boson-boson scattering length in superfluid crossover models.

Findings

Boson-fermion correlations are crucial for accurate scattering length calculations.

Correlations are minimal ingredients for the many-body theory.

The approach improves understanding of fermionic to bosonic superfluid transition.

Abstract

Correlations between a composite boson and a fermion pair are considered in the context of the crossover theory of fermionic to bosonic superfluidity. It is shown that such correlations are the minimal ingredients needed in a many-body theory to generate the right boson-boson scattering length in the Bose-Einstein limit of the crossover.