Lifetime of the Bose Gas with Resonant Interactions

Abstract

We study the lifetime of a Bose gas at and around unitarity using a Feshbach resonance in lithium~7. At unitarity, we measure the temperature dependence of the three-body decay coefficient $L_3$. Our data follow a $L_3={\lambda }_3/T^2$ law with $λ_{3} = 2.5(3)_{stat}_(6)_{sys} 10^{-20} (μK)^2 cm^6 s^{-1}$ and are in good agreement with our analytical result based on the zero-range theory. Varying the scattering length $a$ at fixed temperature, we investigate the crossover between the finite-temperature unitary region and the previously studied regime where $|a|$ is smaller than the thermal wavelength. We find that $L_3$ is continuous across resonance, and over the whole $a<0$ range our data quantitatively agree with our calculation.

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