Normal State Properties of a resonantly interacting p-wave Fermi Gas

TL;DR

This paper studies the normal state properties of a p-wave resonant Fermi gas, calculating the equation of state, contacts, and superfluid transition temperature, with results aligning well with recent experiments.

Contribution

It provides a comprehensive theoretical analysis of p-wave Fermi gases near resonance, including effective range corrections and an analytic expression for the transition temperature.

Findings

Universal equation of state calculated and matches experiments.

Two p-wave contacts characterized the system's universal properties.

Superfluid transition temperature estimated within NSR scheme, within experimental reach.

Abstract

Motivated by the recent experimental progresses in the study of p-wave resonant Fermi gas, we investigate the normal state properties of such a gas close to a p-wave scattering resonance. We calculate the universal equation of state and the two p-wave contacts which characterise the universal properties of the system, in good agreement with experiments. Our calculation takes explicit account of the effective range correction and obtains the superfluid transition temperature $T_c$ within Nozi\`eres-Schmitt-Rink (NSR) scheme, and shows that it lies within experimental reach. We derive analytic expression for $T_c$ in the weak coupling limit and show explicitly the non-perturbative nature of the effective range corrections.